What is the Least Common Multiple of 53376 and 53388?

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 53376 and 53388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53376 and 53388, than apply into the LCM equation.

GCF(53376,53388) = 12
LCM(53376,53388) = ( 53376 × 53388) / 12
LCM(53376,53388) = 2849637888 / 12
LCM(53376,53388) = 237469824

Least Common Multiple (LCM) of 53376 and 53388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53376 and 53388. First we will calculate the prime factors of 53376 and 53388.

Prime Factorization of 53376

Prime Factorization of 53388

Now multiplying the highest exponent prime factors to calculate the LCM of 53376 and 53388.

LCM(53376,53388) = 2⁷ × 3² × 139¹ × 1483¹
LCM(53376,53388) = 237469824