What is the Least Common Multiple of 36512 and 36527?

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 36512 and 36527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36512 and 36527, than apply into the LCM equation.

GCF(36512,36527) = 1
LCM(36512,36527) = ( 36512 × 36527) / 1
LCM(36512,36527) = 1333673824 / 1
LCM(36512,36527) = 1333673824

Least Common Multiple (LCM) of 36512 and 36527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36512 and 36527. First we will calculate the prime factors of 36512 and 36527.

Prime Factorization of 36512

Prime Factorization of 36527

Now multiplying the highest exponent prime factors to calculate the LCM of 36512 and 36527.

LCM(36512,36527) = 2⁵ × 7¹ × 163¹ × 36527¹
LCM(36512,36527) = 1333673824