What is the Least Common Multiple of 59156 and 59171?

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 59156 and 59171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59156 and 59171, than apply into the LCM equation.

GCF(59156,59171) = 1
LCM(59156,59171) = ( 59156 × 59171) / 1
LCM(59156,59171) = 3500319676 / 1
LCM(59156,59171) = 3500319676

Least Common Multiple (LCM) of 59156 and 59171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59156 and 59171. First we will calculate the prime factors of 59156 and 59171.

Prime Factorization of 59156

Prime Factorization of 59171

Now multiplying the highest exponent prime factors to calculate the LCM of 59156 and 59171.

LCM(59156,59171) = 2² × 23¹ × 643¹ × 7¹ × 79¹ × 107¹
LCM(59156,59171) = 3500319676