What is the Least Common Multiple of 59375 and 59386?

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 59375 and 59386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59375 and 59386, than apply into the LCM equation.

GCF(59375,59386) = 1
LCM(59375,59386) = ( 59375 × 59386) / 1
LCM(59375,59386) = 3526043750 / 1
LCM(59375,59386) = 3526043750

Least Common Multiple (LCM) of 59375 and 59386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59375 and 59386. First we will calculate the prime factors of 59375 and 59386.

Prime Factorization of 59375

Prime Factorization of 59386

Now multiplying the highest exponent prime factors to calculate the LCM of 59375 and 59386.

LCM(59375,59386) = 5⁵ × 19¹ × 2¹ × 23¹ × 1291¹
LCM(59375,59386) = 3526043750