What is the Least Common Multiple of 80310 and 80329?

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 80310 and 80329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80310 and 80329, than apply into the LCM equation.

GCF(80310,80329) = 1
LCM(80310,80329) = ( 80310 × 80329) / 1
LCM(80310,80329) = 6451221990 / 1
LCM(80310,80329) = 6451221990

Least Common Multiple (LCM) of 80310 and 80329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80310 and 80329. First we will calculate the prime factors of 80310 and 80329.

Prime Factorization of 80310

Prime Factorization of 80329

Now multiplying the highest exponent prime factors to calculate the LCM of 80310 and 80329.

LCM(80310,80329) = 2¹ × 3¹ × 5¹ × 2677¹ × 80329¹
LCM(80310,80329) = 6451221990