What is the Least Common Multiple of 38355 and 38375?

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 38355 and 38375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38355 and 38375, than apply into the LCM equation.

GCF(38355,38375) = 5
LCM(38355,38375) = ( 38355 × 38375) / 5
LCM(38355,38375) = 1471873125 / 5
LCM(38355,38375) = 294374625

Least Common Multiple (LCM) of 38355 and 38375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38355 and 38375. First we will calculate the prime factors of 38355 and 38375.

Prime Factorization of 38355

Prime Factorization of 38375

Now multiplying the highest exponent prime factors to calculate the LCM of 38355 and 38375.

LCM(38355,38375) = 3¹ × 5³ × 2557¹ × 307¹
LCM(38355,38375) = 294374625