What is the Least Common Multiple of 89171 and 89179?

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 89171 and 89179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89171 and 89179, than apply into the LCM equation.

GCF(89171,89179) = 1
LCM(89171,89179) = ( 89171 × 89179) / 1
LCM(89171,89179) = 7952180609 / 1
LCM(89171,89179) = 7952180609

Least Common Multiple (LCM) of 89171 and 89179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89171 and 89179. First we will calculate the prime factors of 89171 and 89179.

Prime Factorization of 89171

Prime Factorization of 89179

Now multiplying the highest exponent prime factors to calculate the LCM of 89171 and 89179.

LCM(89171,89179) = 23¹ × 3877¹ × 257¹ × 347¹
LCM(89171,89179) = 7952180609