GCF and LCM Calculator Logo

What is the Least Common Multiple of 15312 and 15324?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 15312 and 15324 is 19553424.

LCM(15312,15324) = 19553424

LCM Calculator and
and

Least Common Multiple of 15312 and 15324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15312 and 15324, than apply into the LCM equation.

GCF(15312,15324) = 12
LCM(15312,15324) = ( 15312 × 15324) / 12
LCM(15312,15324) = 234641088 / 12
LCM(15312,15324) = 19553424

Least Common Multiple (LCM) of 15312 and 15324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15312 and 15324. First we will calculate the prime factors of 15312 and 15324.

Prime Factorization of 15312

Prime factors of 15312 are 2, 3, 11, 29. Prime factorization of 15312 in exponential form is:

15312 = 24 × 31 × 111 × 291

Prime Factorization of 15324

Prime factors of 15324 are 2, 3, 1277. Prime factorization of 15324 in exponential form is:

15324 = 22 × 31 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 15312 and 15324.

LCM(15312,15324) = 24 × 31 × 111 × 291 × 12771
LCM(15312,15324) = 19553424