What is the Least Common Multiple of 84564 and 84578?

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 84578 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 84578, than apply into the LCM equation.

GCF(84564,84578) = 2
LCM(84564,84578) = ( 84564 × 84578) / 2
LCM(84564,84578) = 7152253992 / 2
LCM(84564,84578) = 3576126996

Least Common Multiple (LCM) of 84564 and 84578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84564 and 84578. First we will calculate the prime factors of 84564 and 84578.

Prime Factorization of 84564

Prime Factorization of 84578

Now multiplying the highest exponent prime factors to calculate the LCM of 84564 and 84578.

LCM(84564,84578) = 2² × 3⁶ × 29¹ × 13¹ × 3253¹
LCM(84564,84578) = 3576126996