What is the Least Common Multiple of 15324 and 15342?

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 of 15324 and 15342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15324 and 15342, than apply into the LCM equation.

GCF(15324,15342) = 6
LCM(15324,15342) = ( 15324 × 15342) / 6
LCM(15324,15342) = 235100808 / 6
LCM(15324,15342) = 39183468

Least Common Multiple (LCM) of 15324 and 15342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15324 and 15342. First we will calculate the prime factors of 15324 and 15342.

Prime Factorization of 15324

Prime Factorization of 15342

Now multiplying the highest exponent prime factors to calculate the LCM of 15324 and 15342.

LCM(15324,15342) = 2² × 3¹ × 1277¹ × 2557¹
LCM(15324,15342) = 39183468