What is the Least Common Multiple of 36918 and 36931?

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 36918 and 36931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36918 and 36931, than apply into the LCM equation.

GCF(36918,36931) = 1
LCM(36918,36931) = ( 36918 × 36931) / 1
LCM(36918,36931) = 1363418658 / 1
LCM(36918,36931) = 1363418658

Least Common Multiple (LCM) of 36918 and 36931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36918 and 36931. First we will calculate the prime factors of 36918 and 36931.

Prime Factorization of 36918

Prime Factorization of 36931

Now multiplying the highest exponent prime factors to calculate the LCM of 36918 and 36931.

LCM(36918,36931) = 2¹ × 3² × 7¹ × 293¹ × 36931¹
LCM(36918,36931) = 1363418658