What is the Least Common Multiple of 6624 and 6640?

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 6624 and 6640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6624 and 6640, than apply into the LCM equation.

GCF(6624,6640) = 16
LCM(6624,6640) = ( 6624 × 6640) / 16
LCM(6624,6640) = 43983360 / 16
LCM(6624,6640) = 2748960

Least Common Multiple (LCM) of 6624 and 6640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6624 and 6640. First we will calculate the prime factors of 6624 and 6640.

Prime Factorization of 6624

Prime Factorization of 6640

Now multiplying the highest exponent prime factors to calculate the LCM of 6624 and 6640.

LCM(6624,6640) = 2⁵ × 3² × 23¹ × 5¹ × 83¹
LCM(6624,6640) = 2748960