What is the Least Common Multiple of 84606 and 84612?

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 84606 and 84612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84606 and 84612, than apply into the LCM equation.

GCF(84606,84612) = 6
LCM(84606,84612) = ( 84606 × 84612) / 6
LCM(84606,84612) = 7158682872 / 6
LCM(84606,84612) = 1193113812

Least Common Multiple (LCM) of 84606 and 84612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84606 and 84612. First we will calculate the prime factors of 84606 and 84612.

Prime Factorization of 84606

Prime Factorization of 84612

Now multiplying the highest exponent prime factors to calculate the LCM of 84606 and 84612.

LCM(84606,84612) = 2² × 3¹ × 59¹ × 239¹ × 11¹ × 641¹
LCM(84606,84612) = 1193113812