What is the Least Common Multiple of 38265 and 38275?

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 38275 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 38275, than apply into the LCM equation.

GCF(38265,38275) = 5
LCM(38265,38275) = ( 38265 × 38275) / 5
LCM(38265,38275) = 1464592875 / 5
LCM(38265,38275) = 292918575

Least Common Multiple (LCM) of 38265 and 38275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38265 and 38275. First we will calculate the prime factors of 38265 and 38275.

Prime Factorization of 38265

Prime Factorization of 38275

Now multiplying the highest exponent prime factors to calculate the LCM of 38265 and 38275.

LCM(38265,38275) = 3¹ × 5² × 2551¹ × 1531¹
LCM(38265,38275) = 292918575