What is the Least Common Multiple of 80469 and 80487?

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 80469 and 80487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80469 and 80487, than apply into the LCM equation.

GCF(80469,80487) = 9
LCM(80469,80487) = ( 80469 × 80487) / 9
LCM(80469,80487) = 6476708403 / 9
LCM(80469,80487) = 719634267

Least Common Multiple (LCM) of 80469 and 80487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80469 and 80487. First we will calculate the prime factors of 80469 and 80487.

Prime Factorization of 80469

Prime Factorization of 80487

Now multiplying the highest exponent prime factors to calculate the LCM of 80469 and 80487.

LCM(80469,80487) = 3³ × 8941¹ × 11¹ × 271¹
LCM(80469,80487) = 719634267