What is the Least Common Multiple of 80496 and 80500?

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 80496 and 80500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80496 and 80500, than apply into the LCM equation.

GCF(80496,80500) = 4
LCM(80496,80500) = ( 80496 × 80500) / 4
LCM(80496,80500) = 6479928000 / 4
LCM(80496,80500) = 1619982000

Least Common Multiple (LCM) of 80496 and 80500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80496 and 80500. First we will calculate the prime factors of 80496 and 80500.

Prime Factorization of 80496

Prime Factorization of 80500

Now multiplying the highest exponent prime factors to calculate the LCM of 80496 and 80500.

LCM(80496,80500) = 2⁴ × 3² × 13¹ × 43¹ × 5³ × 7¹ × 23¹
LCM(80496,80500) = 1619982000