What is the Least Common Multiple of 936 and 942?

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 936 and 942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 936 and 942, than apply into the LCM equation.

GCF(936,942) = 6
LCM(936,942) = ( 936 × 942) / 6
LCM(936,942) = 881712 / 6
LCM(936,942) = 146952

Least Common Multiple (LCM) of 936 and 942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 942. First we will calculate the prime factors of 936 and 942.

Prime Factorization of 936

Prime Factorization of 942

Now multiplying the highest exponent prime factors to calculate the LCM of 936 and 942.

LCM(936,942) = 2³ × 3² × 13¹ × 157¹
LCM(936,942) = 146952