What is the Least Common Multiple of 36936 and 36956?

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 36936 and 36956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36936 and 36956, than apply into the LCM equation.

GCF(36936,36956) = 4
LCM(36936,36956) = ( 36936 × 36956) / 4
LCM(36936,36956) = 1365006816 / 4
LCM(36936,36956) = 341251704

Least Common Multiple (LCM) of 36936 and 36956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36936 and 36956. First we will calculate the prime factors of 36936 and 36956.

Prime Factorization of 36936

Prime Factorization of 36956

Now multiplying the highest exponent prime factors to calculate the LCM of 36936 and 36956.

LCM(36936,36956) = 2³ × 3⁵ × 19¹ × 9239¹
LCM(36936,36956) = 341251704