What is the Least Common Multiple of 6675 and 6684?

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 6675 and 6684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6675 and 6684, than apply into the LCM equation.

GCF(6675,6684) = 3
LCM(6675,6684) = ( 6675 × 6684) / 3
LCM(6675,6684) = 44615700 / 3
LCM(6675,6684) = 14871900

Least Common Multiple (LCM) of 6675 and 6684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6675 and 6684. First we will calculate the prime factors of 6675 and 6684.

Prime Factorization of 6675

Prime Factorization of 6684

Now multiplying the highest exponent prime factors to calculate the LCM of 6675 and 6684.

LCM(6675,6684) = 3¹ × 5² × 89¹ × 2² × 557¹
LCM(6675,6684) = 14871900