What is the Least Common Multiple of 84564 and 84572?

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 84564 and 84572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84564 and 84572, than apply into the LCM equation.

GCF(84564,84572) = 4
LCM(84564,84572) = ( 84564 × 84572) / 4
LCM(84564,84572) = 7151746608 / 4
LCM(84564,84572) = 1787936652

Least Common Multiple (LCM) of 84564 and 84572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84564 and 84572. First we will calculate the prime factors of 84564 and 84572.

Prime Factorization of 84564

Prime Factorization of 84572

Now multiplying the highest exponent prime factors to calculate the LCM of 84564 and 84572.

LCM(84564,84572) = 2² × 3⁶ × 29¹ × 21143¹
LCM(84564,84572) = 1787936652