What is the Least Common Multiple of 52512 and 52528?

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 52512 and 52528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52512 and 52528, than apply into the LCM equation.

GCF(52512,52528) = 16
LCM(52512,52528) = ( 52512 × 52528) / 16
LCM(52512,52528) = 2758350336 / 16
LCM(52512,52528) = 172396896

Least Common Multiple (LCM) of 52512 and 52528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52512 and 52528. First we will calculate the prime factors of 52512 and 52528.

Prime Factorization of 52512

Prime Factorization of 52528

Now multiplying the highest exponent prime factors to calculate the LCM of 52512 and 52528.

LCM(52512,52528) = 2⁵ × 3¹ × 547¹ × 7² × 67¹
LCM(52512,52528) = 172396896