Question

What is the lmc of 12 and 15​

Answer 1

Answer:

$60$

Step-by-step 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

Answer:

the lowest common multiple is 60

Step-by-step 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.