What is the Least Common Multiple of 36564 and 36576?

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 36564 and 36576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36564 and 36576, than apply into the LCM equation.

GCF(36564,36576) = 12
LCM(36564,36576) = ( 36564 × 36576) / 12
LCM(36564,36576) = 1337364864 / 12
LCM(36564,36576) = 111447072

Least Common Multiple (LCM) of 36564 and 36576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36564 and 36576. First we will calculate the prime factors of 36564 and 36576.

Prime Factorization of 36564

Prime Factorization of 36576

Now multiplying the highest exponent prime factors to calculate the LCM of 36564 and 36576.

LCM(36564,36576) = 2⁵ × 3² × 11¹ × 277¹ × 127¹
LCM(36564,36576) = 111447072