# Least Common Multiple of 182 and 360

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 182 and 360 is 32760.

LCM(182,360) = 32760

LCM Calculator and

## Least Common Multiple of 182 and 360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 182 and 360, than apply into the LCM equation.

GCF(182,360) = 2
LCM(182,360) = ( 182 × 360) / 2
LCM(182,360) = 65520 / 2
LCM(182,360) = 32760

## Least Common Multiple (LCM) of 182 and 360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 182 and 360. First we will calculate the prime factors of 182 and 360.

### Prime Factorization of 182

Prime factors of 182 are 2, 7, 13. Prime factorization of 182 in exponential form is:

182 = 21 × 71 × 131

### Prime Factorization of 360

Prime factors of 360 are 2, 3, 5. Prime factorization of 360 in exponential form is:

360 = 23 × 32 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 182 and 360.

LCM(182,360) = 23 × 71 × 131 × 32 × 51
LCM(182,360) = 32760