What is the Least Common Multiple of 36912 and 36928?

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 36912 and 36928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36912 and 36928, than apply into the LCM equation.

GCF(36912,36928) = 16
LCM(36912,36928) = ( 36912 × 36928) / 16
LCM(36912,36928) = 1363086336 / 16
LCM(36912,36928) = 85192896

Least Common Multiple (LCM) of 36912 and 36928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36912 and 36928. First we will calculate the prime factors of 36912 and 36928.

Prime Factorization of 36912

Prime Factorization of 36928

Now multiplying the highest exponent prime factors to calculate the LCM of 36912 and 36928.

LCM(36912,36928) = 2⁶ × 3¹ × 769¹ × 577¹
LCM(36912,36928) = 85192896