What is the Least Common Multiple of 88175 and 88187?

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 88175 and 88187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88175 and 88187, than apply into the LCM equation.

GCF(88175,88187) = 1
LCM(88175,88187) = ( 88175 × 88187) / 1
LCM(88175,88187) = 7775888725 / 1
LCM(88175,88187) = 7775888725

Least Common Multiple (LCM) of 88175 and 88187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88175 and 88187. First we will calculate the prime factors of 88175 and 88187.

Prime Factorization of 88175

Prime Factorization of 88187

Now multiplying the highest exponent prime factors to calculate the LCM of 88175 and 88187.

LCM(88175,88187) = 5² × 3527¹ × 11¹ × 8017¹
LCM(88175,88187) = 7775888725