What is the Least Common Multiple of 36576 and 36591?

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 36576 and 36591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36576 and 36591, than apply into the LCM equation.

GCF(36576,36591) = 3
LCM(36576,36591) = ( 36576 × 36591) / 3
LCM(36576,36591) = 1338352416 / 3
LCM(36576,36591) = 446117472

Least Common Multiple (LCM) of 36576 and 36591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36576 and 36591. First we will calculate the prime factors of 36576 and 36591.

Prime Factorization of 36576

Prime Factorization of 36591

Now multiplying the highest exponent prime factors to calculate the LCM of 36576 and 36591.

LCM(36576,36591) = 2⁵ × 3² × 127¹ × 12197¹
LCM(36576,36591) = 446117472