What is the Least Common Multiple of 80428 and 80444?

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 80428 and 80444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80428 and 80444, than apply into the LCM equation.

GCF(80428,80444) = 4
LCM(80428,80444) = ( 80428 × 80444) / 4
LCM(80428,80444) = 6469950032 / 4
LCM(80428,80444) = 1617487508

Least Common Multiple (LCM) of 80428 and 80444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80428 and 80444. First we will calculate the prime factors of 80428 and 80444.

Prime Factorization of 80428

Prime Factorization of 80444

Now multiplying the highest exponent prime factors to calculate the LCM of 80428 and 80444.

LCM(80428,80444) = 2² × 20107¹ × 7¹ × 13² × 17¹
LCM(80428,80444) = 1617487508