What is the Least Common Multiple of 38265 and 38271?

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 38265 and 38271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38265 and 38271, than apply into the LCM equation.

GCF(38265,38271) = 3
LCM(38265,38271) = ( 38265 × 38271) / 3
LCM(38265,38271) = 1464439815 / 3
LCM(38265,38271) = 488146605

Least Common Multiple (LCM) of 38265 and 38271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38265 and 38271. First we will calculate the prime factors of 38265 and 38271.

Prime Factorization of 38265

Prime Factorization of 38271

Now multiplying the highest exponent prime factors to calculate the LCM of 38265 and 38271.

LCM(38265,38271) = 3¹ × 5¹ × 2551¹ × 12757¹
LCM(38265,38271) = 488146605