What is the Least Common Multiple of 2944 and 2948?

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 2944 and 2948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2944 and 2948, than apply into the LCM equation.

GCF(2944,2948) = 4
LCM(2944,2948) = ( 2944 × 2948) / 4
LCM(2944,2948) = 8678912 / 4
LCM(2944,2948) = 2169728

Least Common Multiple (LCM) of 2944 and 2948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2944 and 2948. First we will calculate the prime factors of 2944 and 2948.

Prime Factorization of 2944

Prime Factorization of 2948

Now multiplying the highest exponent prime factors to calculate the LCM of 2944 and 2948.

LCM(2944,2948) = 2⁷ × 23¹ × 11¹ × 67¹
LCM(2944,2948) = 2169728