What is the Least Common Multiple of 2608 and 2628?

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 2608 and 2628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2608 and 2628, than apply into the LCM equation.

GCF(2608,2628) = 4
LCM(2608,2628) = ( 2608 × 2628) / 4
LCM(2608,2628) = 6853824 / 4
LCM(2608,2628) = 1713456

Least Common Multiple (LCM) of 2608 and 2628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2608 and 2628. First we will calculate the prime factors of 2608 and 2628.

Prime Factorization of 2608

Prime Factorization of 2628

Now multiplying the highest exponent prime factors to calculate the LCM of 2608 and 2628.

LCM(2608,2628) = 2⁴ × 163¹ × 3² × 73¹
LCM(2608,2628) = 1713456