What is the Least Common Multiple of 52656 and 52664?

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 52656 and 52664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52656 and 52664, than apply into the LCM equation.

GCF(52656,52664) = 8
LCM(52656,52664) = ( 52656 × 52664) / 8
LCM(52656,52664) = 2773075584 / 8
LCM(52656,52664) = 346634448

Least Common Multiple (LCM) of 52656 and 52664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52656 and 52664. First we will calculate the prime factors of 52656 and 52664.

Prime Factorization of 52656

Prime Factorization of 52664

Now multiplying the highest exponent prime factors to calculate the LCM of 52656 and 52664.

LCM(52656,52664) = 2⁴ × 3¹ × 1097¹ × 29¹ × 227¹
LCM(52656,52664) = 346634448