What is the Least Common Multiple of 36255 and 36275?

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 36255 and 36275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36255 and 36275, than apply into the LCM equation.

GCF(36255,36275) = 5
LCM(36255,36275) = ( 36255 × 36275) / 5
LCM(36255,36275) = 1315150125 / 5
LCM(36255,36275) = 263030025

Least Common Multiple (LCM) of 36255 and 36275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36255 and 36275. First we will calculate the prime factors of 36255 and 36275.

Prime Factorization of 36255

Prime Factorization of 36275

Now multiplying the highest exponent prime factors to calculate the LCM of 36255 and 36275.

LCM(36255,36275) = 3¹ × 5² × 2417¹ × 1451¹
LCM(36255,36275) = 263030025