What is the Least Common Multiple of 84564 and 84582?

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 84582 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 84582, than apply into the LCM equation.

GCF(84564,84582) = 18
LCM(84564,84582) = ( 84564 × 84582) / 18
LCM(84564,84582) = 7152592248 / 18
LCM(84564,84582) = 397366236

Least Common Multiple (LCM) of 84564 and 84582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84564 and 84582. First we will calculate the prime factors of 84564 and 84582.

Prime Factorization of 84564

Prime Factorization of 84582

Now multiplying the highest exponent prime factors to calculate the LCM of 84564 and 84582.

LCM(84564,84582) = 2² × 3⁶ × 29¹ × 37¹ × 127¹
LCM(84564,84582) = 397366236