# Least Common Multiple of 29583 and 48782

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 29583 and 48782 is 1443117906.

LCM(29583,48782) = 1443117906

LCM Calculator and

## Least Common Multiple of 29583 and 48782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29583 and 48782, than apply into the LCM equation.

GCF(29583,48782) = 1
LCM(29583,48782) = ( 29583 × 48782) / 1
LCM(29583,48782) = 1443117906 / 1
LCM(29583,48782) = 1443117906

## Least Common Multiple (LCM) of 29583 and 48782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29583 and 48782. First we will calculate the prime factors of 29583 and 48782.

### Prime Factorization of 29583

Prime factors of 29583 are 3, 19, 173. Prime factorization of 29583 in exponential form is:

29583 = 32 × 191 × 1731

### Prime Factorization of 48782

Prime factors of 48782 are 2, 24391. Prime factorization of 48782 in exponential form is:

48782 = 21 × 243911

Now multiplying the highest exponent prime factors to calculate the LCM of 29583 and 48782.

LCM(29583,48782) = 32 × 191 × 1731 × 21 × 243911
LCM(29583,48782) = 1443117906