What is the Least Common Multiple of 52512 and 52527?

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 52527 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 52527, than apply into the LCM equation.

GCF(52512,52527) = 3
LCM(52512,52527) = ( 52512 × 52527) / 3
LCM(52512,52527) = 2758297824 / 3
LCM(52512,52527) = 919432608

Least Common Multiple (LCM) of 52512 and 52527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52512 and 52527. First we will calculate the prime factors of 52512 and 52527.

Prime Factorization of 52512

Prime Factorization of 52527

Now multiplying the highest exponent prime factors to calculate the LCM of 52512 and 52527.

LCM(52512,52527) = 2⁵ × 3¹ × 547¹ × 17509¹
LCM(52512,52527) = 919432608