What is the Least Common Multiple of 59355 and 59375?

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 59355 and 59375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59355 and 59375, than apply into the LCM equation.

GCF(59355,59375) = 5
LCM(59355,59375) = ( 59355 × 59375) / 5
LCM(59355,59375) = 3524203125 / 5
LCM(59355,59375) = 704840625

Least Common Multiple (LCM) of 59355 and 59375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59355 and 59375. First we will calculate the prime factors of 59355 and 59375.

Prime Factorization of 59355

Prime Factorization of 59375

Now multiplying the highest exponent prime factors to calculate the LCM of 59355 and 59375.

LCM(59355,59375) = 3² × 5⁵ × 1319¹ × 19¹
LCM(59355,59375) = 704840625