What is the Least Common Multiple of 2949 and 2961?

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 2961 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 2961, than apply into the LCM equation.

GCF(2949,2961) = 3
LCM(2949,2961) = ( 2949 × 2961) / 3
LCM(2949,2961) = 8731989 / 3
LCM(2949,2961) = 2910663

Least Common Multiple (LCM) of 2949 and 2961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2949 and 2961. First we will calculate the prime factors of 2949 and 2961.

Prime Factorization of 2949

Prime Factorization of 2961

Now multiplying the highest exponent prime factors to calculate the LCM of 2949 and 2961.

LCM(2949,2961) = 3² × 983¹ × 7¹ × 47¹
LCM(2949,2961) = 2910663