What is the Least Common Multiple of 6608 and 6624?

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 6608 and 6624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6608 and 6624, than apply into the LCM equation.

GCF(6608,6624) = 16
LCM(6608,6624) = ( 6608 × 6624) / 16
LCM(6608,6624) = 43771392 / 16
LCM(6608,6624) = 2735712

Least Common Multiple (LCM) of 6608 and 6624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6608 and 6624. First we will calculate the prime factors of 6608 and 6624.

Prime Factorization of 6608

Prime Factorization of 6624

Now multiplying the highest exponent prime factors to calculate the LCM of 6608 and 6624.

LCM(6608,6624) = 2⁵ × 7¹ × 59¹ × 3² × 23¹
LCM(6608,6624) = 2735712