# Least Common Multiple of 15625 and 15635

Least common multiple (LCM) of 15625 and 15635 is 48859375.

LCM(15625,15635) = 48859375

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.

LCM Calculator and

## Least Common Multiple of 15625 and 15635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15625 and 15635, than apply into the LCM equation.

GCF(15625,15635) = 5
LCM(15625,15635) = ( 15625 × 15635) / 5
LCM(15625,15635) = 244296875 / 5
LCM(15625,15635) = 48859375

## Least Common Multiple (LCM) of 15625 and 15635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15625 and 15635. First we will calculate the prime factors of 15625 and 15635.

### Prime Factorization of 15625

Prime factors of 15625 are 5. Prime factorization of 15625 in exponential form is:

15625 = 56

### Prime Factorization of 15635

Prime factors of 15635 are 5, 53, 59. Prime factorization of 15635 in exponential form is:

15635 = 51 × 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 15625 and 15635.

LCM(15625,15635) = 56 × 531 × 591
LCM(15625,15635) = 48859375