What is the Least Common Multiple of 36864 and 36868?

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 36868 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 36868, than apply into the LCM equation.

GCF(36864,36868) = 4
LCM(36864,36868) = ( 36864 × 36868) / 4
LCM(36864,36868) = 1359101952 / 4
LCM(36864,36868) = 339775488

Least Common Multiple (LCM) of 36864 and 36868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36864 and 36868. First we will calculate the prime factors of 36864 and 36868.

Prime Factorization of 36864

Prime Factorization of 36868

Now multiplying the highest exponent prime factors to calculate the LCM of 36864 and 36868.

LCM(36864,36868) = 2¹² × 3² × 13¹ × 709¹
LCM(36864,36868) = 339775488