What is the Least Common Multiple of 33108 and 33124?

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 33108 and 33124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33108 and 33124, than apply into the LCM equation.

GCF(33108,33124) = 4
LCM(33108,33124) = ( 33108 × 33124) / 4
LCM(33108,33124) = 1096669392 / 4
LCM(33108,33124) = 274167348

Least Common Multiple (LCM) of 33108 and 33124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33108 and 33124. First we will calculate the prime factors of 33108 and 33124.

Prime Factorization of 33108

Prime Factorization of 33124

Now multiplying the highest exponent prime factors to calculate the LCM of 33108 and 33124.

LCM(33108,33124) = 2² × 3¹ × 31¹ × 89¹ × 7² × 13²
LCM(33108,33124) = 274167348