What is the Least Common Multiple of 89173 and 89187?

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 89173 and 89187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89173 and 89187, than apply into the LCM equation.

GCF(89173,89187) = 7
LCM(89173,89187) = ( 89173 × 89187) / 7
LCM(89173,89187) = 7953072351 / 7
LCM(89173,89187) = 1136153193

Least Common Multiple (LCM) of 89173 and 89187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89173 and 89187. First we will calculate the prime factors of 89173 and 89187.

Prime Factorization of 89173

Prime Factorization of 89187

Now multiplying the highest exponent prime factors to calculate the LCM of 89173 and 89187.

LCM(89173,89187) = 7¹ × 12739¹ × 3¹ × 31¹ × 137¹
LCM(89173,89187) = 1136153193