What is the Least Common Multiple of 80664 and 80679?

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 80664 and 80679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80664 and 80679, than apply into the LCM equation.

GCF(80664,80679) = 3
LCM(80664,80679) = ( 80664 × 80679) / 3
LCM(80664,80679) = 6507890856 / 3
LCM(80664,80679) = 2169296952

Least Common Multiple (LCM) of 80664 and 80679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80664 and 80679. First we will calculate the prime factors of 80664 and 80679.

Prime Factorization of 80664

Prime Factorization of 80679

Now multiplying the highest exponent prime factors to calculate the LCM of 80664 and 80679.

LCM(80664,80679) = 2³ × 3¹ × 3361¹ × 26893¹
LCM(80664,80679) = 2169296952