In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b.
Using the table-method.
| × | 2 | 2 |
|---|---|---|
| 4 | 2 | 1 |
| 7 | 7 | 7 |
| 12 | 6 | 3 |
| 21 | 21 | 21 |
Contents
How do I find the least common multiple?
How to Find LCM by Listing Multiples
- List the multiples of each number until at least one of the multiples appears on all lists.
- Find the smallest number that is on all of the lists.
- This number is the LCM.
Can we find LCM of negative numbers?
It is defined that: the least common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest POSITIVE integer that is divisible by both a and b. So the result must always be positive. Direct way to solve :Ignore the negative signs. Calculate as if everything’s positive.
What is the least common multiple of and 3?
24
Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24… Multiples of 8 are 8, 16, 24, 32, 40… So the lowest common multiple of 3 and 8 is 24. A more difficult challenge may be to ask for the lowest common multiple of a group of three or four numbers.
What’s the least common multiple of and 4?
Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36,Multiples of 6 are: 6, 12, 18, 24, 30, 36,Multiples of 8 are: 8, 16, 24, 32, 40,. So 24 is the least common multiple (I can’t find a smaller one!)
What is the least common multiple of 2?
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b.
Using the table-method.
| × | 2 |
|---|---|
| 4 | 2 |
| 7 | 7 |
| 12 | 6 |
| 21 | 21 |
What is the least common multiple of 2 and 8?
8
What is the LCM of 2 and 8? Answer: LCM of 2 and 8 is 8.
What is the LCM of 1?
We would normally define the least common multiple as the smallest positive integer that is a multiple of those under consideration, thus the lcm{1,-1} is 1.
What is the meaning of LCM?
1 : the smallest common multiple of two or more numbers. 2 : the common multiple of lowest degree of two or more polynomials.
Is GCD always positive?
The greatest common divisor (gcd) of two integers is the same as the gcd of their absolute values. Therefore, the function can just replace negative integers by their negatives, which are positive.
What is the least common multiple of 2 and 6?
6
Answer: LCM of 2 and 6 is 6.
What is the lowest common multiple of 4 and 6?
12
The lowest common multiple is the lowest multiple shared by two or more numbers. For example, common multiples of 4 and 6 are 12, 24 and 36, but the lowest of those is 12; therefore, the lowest common multiple of 4 and 6 is 12.
What is the lowest common multiple of 4 and 10?
20
Answer: LCM of 4 and 10 is 20.
What is the least common multiple of 3 and 6?
6
What is the LCM of 3 and 6? Answer: LCM of 3 and 6 is 6.
What is the least common multiple of 3 and 5?
15
Answer: LCM of 3 and 5 is 15.
What is the least common multiple of 4 and 11?
44
Answer: LCM of 4 and 11 is 44.
What is the least common multiple of 4 and 5?
20
Answer: LCM of 4 and 5 is 20.
Is 12 a multiple of 3 yes or no?
The number 12 is a multiple of 3, because it can be divided evenly by 3. 12 is a multiple of both 3 and 4.
What is the lowest common multiple of 3 and 7?
21
Answer: LCM of 3 and 7 is 21.
What is the least common multiple of 3 and 15?
15
Answer: LCM of 3 and 15 is 15.
What is the least common multiple of 3 and 9?
9
Answer: LCM of 3 and 9 is 9.