What is the Least Common Multiple of 2949 and 2956?

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 2949 and 2956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2949 and 2956, than apply into the LCM equation.

GCF(2949,2956) = 1
LCM(2949,2956) = ( 2949 × 2956) / 1
LCM(2949,2956) = 8717244 / 1
LCM(2949,2956) = 8717244

Least Common Multiple (LCM) of 2949 and 2956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2949 and 2956. First we will calculate the prime factors of 2949 and 2956.

Prime Factorization of 2949

Prime Factorization of 2956

Now multiplying the highest exponent prime factors to calculate the LCM of 2949 and 2956.

LCM(2949,2956) = 3¹ × 983¹ × 2² × 739¹
LCM(2949,2956) = 8717244