What is the Least Common Multiple of 2946 and 2957?

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 2946 and 2957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2946 and 2957, than apply into the LCM equation.

GCF(2946,2957) = 1
LCM(2946,2957) = ( 2946 × 2957) / 1
LCM(2946,2957) = 8711322 / 1
LCM(2946,2957) = 8711322

Least Common Multiple (LCM) of 2946 and 2957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2946 and 2957. First we will calculate the prime factors of 2946 and 2957.

Prime Factorization of 2946

Prime Factorization of 2957

Now multiplying the highest exponent prime factors to calculate the LCM of 2946 and 2957.

LCM(2946,2957) = 2¹ × 3¹ × 491¹ × 2957¹
LCM(2946,2957) = 8711322