What is the Least Common Multiple of 6660 and 6675?

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 6660 and 6675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6660 and 6675, than apply into the LCM equation.

GCF(6660,6675) = 15
LCM(6660,6675) = ( 6660 × 6675) / 15
LCM(6660,6675) = 44455500 / 15
LCM(6660,6675) = 2963700

Least Common Multiple (LCM) of 6660 and 6675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6660 and 6675. First we will calculate the prime factors of 6660 and 6675.

Prime Factorization of 6660

Prime Factorization of 6675

Now multiplying the highest exponent prime factors to calculate the LCM of 6660 and 6675.

LCM(6660,6675) = 2² × 3² × 5² × 37¹ × 89¹
LCM(6660,6675) = 2963700