What is the Least Common Multiple of 80500 and 80504?

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 80500 and 80504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80500 and 80504, than apply into the LCM equation.

GCF(80500,80504) = 4
LCM(80500,80504) = ( 80500 × 80504) / 4
LCM(80500,80504) = 6480572000 / 4
LCM(80500,80504) = 1620143000

Least Common Multiple (LCM) of 80500 and 80504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80500 and 80504. First we will calculate the prime factors of 80500 and 80504.

Prime Factorization of 80500

Prime Factorization of 80504

Now multiplying the highest exponent prime factors to calculate the LCM of 80500 and 80504.

LCM(80500,80504) = 2³ × 5³ × 7¹ × 23¹ × 29¹ × 347¹
LCM(80500,80504) = 1620143000