What is the Least Common Multiple of 33612 and 33618?

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 33612 and 33618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33612 and 33618, than apply into the LCM equation.

GCF(33612,33618) = 6
LCM(33612,33618) = ( 33612 × 33618) / 6
LCM(33612,33618) = 1129968216 / 6
LCM(33612,33618) = 188328036

Least Common Multiple (LCM) of 33612 and 33618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33612 and 33618. First we will calculate the prime factors of 33612 and 33618.

Prime Factorization of 33612

Prime Factorization of 33618

Now multiplying the highest exponent prime factors to calculate the LCM of 33612 and 33618.

LCM(33612,33618) = 2² × 3¹ × 2801¹ × 13¹ × 431¹
LCM(33612,33618) = 188328036