What is the Least Common Multiple of 916 and 936?

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 916 and 936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 916 and 936, than apply into the LCM equation.

GCF(916,936) = 4
LCM(916,936) = ( 916 × 936) / 4
LCM(916,936) = 857376 / 4
LCM(916,936) = 214344

Least Common Multiple (LCM) of 916 and 936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 916 and 936. First we will calculate the prime factors of 916 and 936.

Prime Factorization of 916

Prime Factorization of 936

Now multiplying the highest exponent prime factors to calculate the LCM of 916 and 936.

LCM(916,936) = 2³ × 229¹ × 3² × 13¹
LCM(916,936) = 214344