What is the Least Common Multiple of 942 and 957?

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 942 and 957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 942 and 957, than apply into the LCM equation.

GCF(942,957) = 3
LCM(942,957) = ( 942 × 957) / 3
LCM(942,957) = 901494 / 3
LCM(942,957) = 300498

Least Common Multiple (LCM) of 942 and 957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 957. First we will calculate the prime factors of 942 and 957.

Prime Factorization of 942

Prime Factorization of 957

Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 957.

LCM(942,957) = 2¹ × 3¹ × 157¹ × 11¹ × 29¹
LCM(942,957) = 300498