What is the Least Common Multiple of 90564 and 90570?

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 90564 and 90570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90564 and 90570, than apply into the LCM equation.

GCF(90564,90570) = 6
LCM(90564,90570) = ( 90564 × 90570) / 6
LCM(90564,90570) = 8202381480 / 6
LCM(90564,90570) = 1367063580

Least Common Multiple (LCM) of 90564 and 90570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90564 and 90570. First we will calculate the prime factors of 90564 and 90570.

Prime Factorization of 90564

Prime Factorization of 90570

Now multiplying the highest exponent prime factors to calculate the LCM of 90564 and 90570.

LCM(90564,90570) = 2² × 3¹ × 7547¹ × 5¹ × 3019¹
LCM(90564,90570) = 1367063580