What is the Least Common Multiple of 84672 and 84676?

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 84672 and 84676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84672 and 84676, than apply into the LCM equation.

GCF(84672,84676) = 4
LCM(84672,84676) = ( 84672 × 84676) / 4
LCM(84672,84676) = 7169686272 / 4
LCM(84672,84676) = 1792421568

Least Common Multiple (LCM) of 84672 and 84676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84672 and 84676. First we will calculate the prime factors of 84672 and 84676.

Prime Factorization of 84672

Prime Factorization of 84676

Now multiplying the highest exponent prime factors to calculate the LCM of 84672 and 84676.

LCM(84672,84676) = 2⁶ × 3³ × 7² × 21169¹
LCM(84672,84676) = 1792421568