What is the Least Common Multiple of 7608 and 7628?

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 7608 and 7628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7608 and 7628, than apply into the LCM equation.

GCF(7608,7628) = 4
LCM(7608,7628) = ( 7608 × 7628) / 4
LCM(7608,7628) = 58033824 / 4
LCM(7608,7628) = 14508456

Least Common Multiple (LCM) of 7608 and 7628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7628. First we will calculate the prime factors of 7608 and 7628.

Prime Factorization of 7608

Prime Factorization of 7628

Now multiplying the highest exponent prime factors to calculate the LCM of 7608 and 7628.

LCM(7608,7628) = 2³ × 3¹ × 317¹ × 1907¹
LCM(7608,7628) = 14508456