What is the Least Common Multiple of 6564 and 6570?

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 6564 and 6570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6564 and 6570, than apply into the LCM equation.

GCF(6564,6570) = 6
LCM(6564,6570) = ( 6564 × 6570) / 6
LCM(6564,6570) = 43125480 / 6
LCM(6564,6570) = 7187580

Least Common Multiple (LCM) of 6564 and 6570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6570. First we will calculate the prime factors of 6564 and 6570.

Prime Factorization of 6564

Prime Factorization of 6570

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6570.

LCM(6564,6570) = 2² × 3² × 547¹ × 5¹ × 73¹
LCM(6564,6570) = 7187580