# Least Common Multiple of 15259 and 15265

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 (LCM) of 15259 and 15265 is 232928635.

LCM(15259,15265) = 232928635

LCM Calculator and

## Least Common Multiple of 15259 and 15265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15259 and 15265, than apply into the LCM equation.

GCF(15259,15265) = 1
LCM(15259,15265) = ( 15259 × 15265) / 1
LCM(15259,15265) = 232928635 / 1
LCM(15259,15265) = 232928635

## Least Common Multiple (LCM) of 15259 and 15265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15259 and 15265. First we will calculate the prime factors of 15259 and 15265.

### Prime Factorization of 15259

Prime factors of 15259 are 15259. Prime factorization of 15259 in exponential form is:

15259 = 152591

### Prime Factorization of 15265

Prime factors of 15265 are 5, 43, 71. Prime factorization of 15265 in exponential form is:

15265 = 51 × 431 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 15259 and 15265.

LCM(15259,15265) = 152591 × 51 × 431 × 711
LCM(15259,15265) = 232928635