What is the Least Common Multiple of 80676 and 80692?

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 80676 and 80692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80676 and 80692, than apply into the LCM equation.

GCF(80676,80692) = 4
LCM(80676,80692) = ( 80676 × 80692) / 4
LCM(80676,80692) = 6509907792 / 4
LCM(80676,80692) = 1627476948

Least Common Multiple (LCM) of 80676 and 80692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80676 and 80692. First we will calculate the prime factors of 80676 and 80692.

Prime Factorization of 80676

Prime Factorization of 80692

Now multiplying the highest exponent prime factors to calculate the LCM of 80676 and 80692.

LCM(80676,80692) = 2² × 3⁵ × 83¹ × 20173¹
LCM(80676,80692) = 1627476948