Question

What is the
lmc of 12 and 15​

Answer 1

`60`

Explanation:

Least Common Multiplier (LCM)

The LCM of
`a,b` is the smallest positive number that is divisible by both
`a` and
`b`

Prime factorization of
`12`

`12`

`12` divides by
`2`
`12=6*2`

`=2*6`

`6` divides by
`2`
`6=3*2`

`2,3` are both prime numbers, therefore no further factorization is possible

`=2*2*3`

Prime factorization of
`15`

`15`

`15` divides by
`3`
`15=5*3`

`3,5` are both prime numbers, therefore no further factorization is possible

Multiply each factor the greatest number of times it occurred in either
`12` or
`15`

`=2*2*3*5`

Multiply the numbers:
`2*2*3*5=60`

`=60`

Answer 2

the lowest common multiple is 60

Explanation:

The multiples of 12 are : 12, 24, 36, 48, 60, 72, 84,

The multiples of 15 are : 15, 30, 45, 60, 75, 90, ....

60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples.

Therefore, the lowest common multiple of 12 and 15 is 60.