What is the Least Common Multiple of 52656 and 52675?

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 52675 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 52675, than apply into the LCM equation.

GCF(52656,52675) = 1
LCM(52656,52675) = ( 52656 × 52675) / 1
LCM(52656,52675) = 2773654800 / 1
LCM(52656,52675) = 2773654800

Least Common Multiple (LCM) of 52656 and 52675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52656 and 52675. First we will calculate the prime factors of 52656 and 52675.

Prime Factorization of 52656

Prime Factorization of 52675

Now multiplying the highest exponent prime factors to calculate the LCM of 52656 and 52675.

LCM(52656,52675) = 2⁴ × 3¹ × 1097¹ × 5² × 7² × 43¹
LCM(52656,52675) = 2773654800