What is the Least Common Multiple of 38271 and 38287?

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 38271 and 38287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38271 and 38287, than apply into the LCM equation.

GCF(38271,38287) = 1
LCM(38271,38287) = ( 38271 × 38287) / 1
LCM(38271,38287) = 1465281777 / 1
LCM(38271,38287) = 1465281777

Least Common Multiple (LCM) of 38271 and 38287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38271 and 38287. First we will calculate the prime factors of 38271 and 38287.

Prime Factorization of 38271

Prime Factorization of 38287

Now multiplying the highest exponent prime factors to calculate the LCM of 38271 and 38287.

LCM(38271,38287) = 3¹ × 12757¹ × 38287¹
LCM(38271,38287) = 1465281777