What is the Least Common Multiple of 2952 and 2968?

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 2968 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 2968, than apply into the LCM equation.

GCF(2952,2968) = 8
LCM(2952,2968) = ( 2952 × 2968) / 8
LCM(2952,2968) = 8761536 / 8
LCM(2952,2968) = 1095192

Least Common Multiple (LCM) of 2952 and 2968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2952 and 2968. First we will calculate the prime factors of 2952 and 2968.

Prime Factorization of 2952

Prime Factorization of 2968

Now multiplying the highest exponent prime factors to calculate the LCM of 2952 and 2968.

LCM(2952,2968) = 2³ × 3² × 41¹ × 7¹ × 53¹
LCM(2952,2968) = 1095192