What is the Least Common Multiple of 2944 and 2949?

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 2949 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 2949, than apply into the LCM equation.

GCF(2944,2949) = 1
LCM(2944,2949) = ( 2944 × 2949) / 1
LCM(2944,2949) = 8681856 / 1
LCM(2944,2949) = 8681856

Least Common Multiple (LCM) of 2944 and 2949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2944 and 2949. First we will calculate the prime factors of 2944 and 2949.

Prime Factorization of 2944

Prime Factorization of 2949

Now multiplying the highest exponent prime factors to calculate the LCM of 2944 and 2949.

LCM(2944,2949) = 2⁷ × 23¹ × 3¹ × 983¹
LCM(2944,2949) = 8681856