What is the Least Common Multiple of 80175 and 80187?

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 80175 and 80187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80175 and 80187, than apply into the LCM equation.

GCF(80175,80187) = 3
LCM(80175,80187) = ( 80175 × 80187) / 3
LCM(80175,80187) = 6428992725 / 3
LCM(80175,80187) = 2142997575

Least Common Multiple (LCM) of 80175 and 80187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80175 and 80187. First we will calculate the prime factors of 80175 and 80187.

Prime Factorization of 80175

Prime Factorization of 80187

Now multiplying the highest exponent prime factors to calculate the LCM of 80175 and 80187.

LCM(80175,80187) = 3¹ × 5² × 1069¹ × 26729¹
LCM(80175,80187) = 2142997575