What is the Least Common Multiple of 2943 and 2952?

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 2943 and 2952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2943 and 2952, than apply into the LCM equation.

GCF(2943,2952) = 9
LCM(2943,2952) = ( 2943 × 2952) / 9
LCM(2943,2952) = 8687736 / 9
LCM(2943,2952) = 965304

Least Common Multiple (LCM) of 2943 and 2952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2943 and 2952. First we will calculate the prime factors of 2943 and 2952.

Prime Factorization of 2943

Prime Factorization of 2952

Now multiplying the highest exponent prime factors to calculate the LCM of 2943 and 2952.

LCM(2943,2952) = 3³ × 109¹ × 2³ × 41¹
LCM(2943,2952) = 965304