What is the Least Common Multiple of 80900 and 80910?

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 80900 and 80910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80900 and 80910, than apply into the LCM equation.

GCF(80900,80910) = 10
LCM(80900,80910) = ( 80900 × 80910) / 10
LCM(80900,80910) = 6545619000 / 10
LCM(80900,80910) = 654561900

Least Common Multiple (LCM) of 80900 and 80910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80900 and 80910. First we will calculate the prime factors of 80900 and 80910.

Prime Factorization of 80900

Prime Factorization of 80910

Now multiplying the highest exponent prime factors to calculate the LCM of 80900 and 80910.

LCM(80900,80910) = 2² × 5² × 809¹ × 3² × 29¹ × 31¹
LCM(80900,80910) = 654561900