What is the Least Common Multiple of 2969 and 2976?

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 2969 and 2976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2969 and 2976, than apply into the LCM equation.

GCF(2969,2976) = 1
LCM(2969,2976) = ( 2969 × 2976) / 1
LCM(2969,2976) = 8835744 / 1
LCM(2969,2976) = 8835744

Least Common Multiple (LCM) of 2969 and 2976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2969 and 2976. First we will calculate the prime factors of 2969 and 2976.

Prime Factorization of 2969

Prime Factorization of 2976

Now multiplying the highest exponent prime factors to calculate the LCM of 2969 and 2976.

LCM(2969,2976) = 2969¹ × 2⁵ × 3¹ × 31¹
LCM(2969,2976) = 8835744