What is the Least Common Multiple of 59259 and 59271?

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 59259 and 59271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59259 and 59271, than apply into the LCM equation.

GCF(59259,59271) = 3
LCM(59259,59271) = ( 59259 × 59271) / 3
LCM(59259,59271) = 3512340189 / 3
LCM(59259,59271) = 1170780063

Least Common Multiple (LCM) of 59259 and 59271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59259 and 59271. First we will calculate the prime factors of 59259 and 59271.

Prime Factorization of 59259

Prime Factorization of 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 59259 and 59271.

LCM(59259,59271) = 3¹ × 19753¹ × 23¹ × 859¹
LCM(59259,59271) = 1170780063