What the lowest common multiple is
It is the smallest number that every number in the list divides into without a remainder.
For 12 and 18 the multiples of 12 are 12, 24, 36, 48 and the multiples of 18 are 18, 36, 54, so the lowest common multiple is 36.
Worked example
12 and 18 share the factor 6, and 12 x 18 / 6 = 36, which is the lowest common multiple.
The highest common factor of the same pair is 6, so the two answers are linked by the product: 6 x 36 = 216, and 12 x 18 = 216 as well.
Where it is used
Adding fractions needs a common denominator, and the lowest one is the lowest common multiple of the denominators.
Repeating events that come round at different intervals meet again after the lowest common multiple of the intervals.
Inputs for the LCM calculator
Whole numbers
Two or more whole numbers, separated by commas or spaces. Zero is not allowed.
CALCULATOR QUESTIONS
Lcm calculator questions
What is the LCM of 12 and 18?
36, the smallest number both divide into exactly.
How do I find the LCM of three numbers?
Enter them all. The calculator takes the LCM of the first two, then of that answer and the third, and so on.
What is the LCM of 4 and 6?
12. The multiples of 4 are 4, 8, 12 and of 6 are 6, 12.
Can the LCM be smaller than the largest number?
No. It is always at least the largest number in the list.