What is the Least Common Multiple of 84564 and 84574?

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 84574 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 84574, than apply into the LCM equation.

GCF(84564,84574) = 2
LCM(84564,84574) = ( 84564 × 84574) / 2
LCM(84564,84574) = 7151915736 / 2
LCM(84564,84574) = 3575957868

Least Common Multiple (LCM) of 84564 and 84574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84564 and 84574. First we will calculate the prime factors of 84564 and 84574.

Prime Factorization of 84564

Prime Factorization of 84574

Now multiplying the highest exponent prime factors to calculate the LCM of 84564 and 84574.

LCM(84564,84574) = 2² × 3⁶ × 29¹ × 7² × 863¹
LCM(84564,84574) = 3575957868