What is the Least Common Multiple of 52032 and 52038?

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 52032 and 52038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52032 and 52038, than apply into the LCM equation.

GCF(52032,52038) = 6
LCM(52032,52038) = ( 52032 × 52038) / 6
LCM(52032,52038) = 2707641216 / 6
LCM(52032,52038) = 451273536

Least Common Multiple (LCM) of 52032 and 52038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52032 and 52038. First we will calculate the prime factors of 52032 and 52038.

Prime Factorization of 52032

Prime Factorization of 52038

Now multiplying the highest exponent prime factors to calculate the LCM of 52032 and 52038.

LCM(52032,52038) = 2⁶ × 3² × 271¹ × 7² × 59¹
LCM(52032,52038) = 451273536