# Least Common Multiple of 110 and 925

Least common multiple (LCM) of 110 and 925 is 20350.

LCM(110,925) = 20350

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 110 and 925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 110 and 925, than apply into the LCM equation.

GCF(110,925) = 5
LCM(110,925) = ( 110 × 925) / 5
LCM(110,925) = 101750 / 5
LCM(110,925) = 20350

## Least Common Multiple (LCM) of 110 and 925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 110 and 925. First we will calculate the prime factors of 110 and 925.

### Prime Factorization of 110

Prime factors of 110 are 2, 5, 11. Prime factorization of 110 in exponential form is:

110 = 21 × 51 × 111

### Prime Factorization of 925

Prime factors of 925 are 5, 37. Prime factorization of 925 in exponential form is:

925 = 52 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 110 and 925.

LCM(110,925) = 21 × 52 × 111 × 371
LCM(110,925) = 20350