What is the Least Common Multiple of 6672 and 6678?

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 6672 and 6678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6672 and 6678, than apply into the LCM equation.

GCF(6672,6678) = 6
LCM(6672,6678) = ( 6672 × 6678) / 6
LCM(6672,6678) = 44555616 / 6
LCM(6672,6678) = 7425936

Least Common Multiple (LCM) of 6672 and 6678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6672 and 6678. First we will calculate the prime factors of 6672 and 6678.

Prime Factorization of 6672

Prime Factorization of 6678

Now multiplying the highest exponent prime factors to calculate the LCM of 6672 and 6678.

LCM(6672,6678) = 2⁴ × 3² × 139¹ × 7¹ × 53¹
LCM(6672,6678) = 7425936