What is the Least Common Multiple of 84676 and 84684?

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 84676 and 84684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84676 and 84684, than apply into the LCM equation.

GCF(84676,84684) = 4
LCM(84676,84684) = ( 84676 × 84684) / 4
LCM(84676,84684) = 7170702384 / 4
LCM(84676,84684) = 1792675596

Least Common Multiple (LCM) of 84676 and 84684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84676 and 84684. First we will calculate the prime factors of 84676 and 84684.

Prime Factorization of 84676

Prime Factorization of 84684

Now multiplying the highest exponent prime factors to calculate the LCM of 84676 and 84684.

LCM(84676,84684) = 2² × 21169¹ × 3¹ × 7057¹
LCM(84676,84684) = 1792675596