What is the Least Common Multiple of 2628 and 2646?

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 2628 and 2646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2628 and 2646, than apply into the LCM equation.

GCF(2628,2646) = 18
LCM(2628,2646) = ( 2628 × 2646) / 18
LCM(2628,2646) = 6953688 / 18
LCM(2628,2646) = 386316

Least Common Multiple (LCM) of 2628 and 2646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2628 and 2646. First we will calculate the prime factors of 2628 and 2646.

Prime Factorization of 2628

Prime Factorization of 2646

Now multiplying the highest exponent prime factors to calculate the LCM of 2628 and 2646.

LCM(2628,2646) = 2² × 3³ × 73¹ × 7²
LCM(2628,2646) = 386316