What is the Least Common Multiple of 36864 and 36875?

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 36864 and 36875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36864 and 36875, than apply into the LCM equation.

GCF(36864,36875) = 1
LCM(36864,36875) = ( 36864 × 36875) / 1
LCM(36864,36875) = 1359360000 / 1
LCM(36864,36875) = 1359360000

Least Common Multiple (LCM) of 36864 and 36875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36864 and 36875. First we will calculate the prime factors of 36864 and 36875.

Prime Factorization of 36864

Prime Factorization of 36875

Now multiplying the highest exponent prime factors to calculate the LCM of 36864 and 36875.

LCM(36864,36875) = 2¹² × 3² × 5⁴ × 59¹
LCM(36864,36875) = 1359360000