What is the Least Common Multiple of 2952 and 2962?

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 2952 and 2962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2952 and 2962, than apply into the LCM equation.

GCF(2952,2962) = 2
LCM(2952,2962) = ( 2952 × 2962) / 2
LCM(2952,2962) = 8743824 / 2
LCM(2952,2962) = 4371912

Least Common Multiple (LCM) of 2952 and 2962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2952 and 2962. First we will calculate the prime factors of 2952 and 2962.

Prime Factorization of 2952

Prime Factorization of 2962

Now multiplying the highest exponent prime factors to calculate the LCM of 2952 and 2962.

LCM(2952,2962) = 2³ × 3² × 41¹ × 1481¹
LCM(2952,2962) = 4371912