# What is the Least Common Multiple of 150 and 170?

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 150 and 170 is 2550.

LCM(150,170) = 2550

LCM Calculator and
and

## Least Common Multiple of 150 and 170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 150 and 170, than apply into the LCM equation.

GCF(150,170) = 10
LCM(150,170) = ( 150 × 170) / 10
LCM(150,170) = 25500 / 10
LCM(150,170) = 2550

## Least Common Multiple (LCM) of 150 and 170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 170. First we will calculate the prime factors of 150 and 170.

### Prime Factorization of 150

Prime factors of 150 are 2, 3, 5. Prime factorization of 150 in exponential form is:

150 = 21 × 31 × 52

### Prime Factorization of 170

Prime factors of 170 are 2, 5, 17. Prime factorization of 170 in exponential form is:

170 = 21 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 150 and 170.

LCM(150,170) = 21 × 31 × 52 × 171
LCM(150,170) = 2550