# What is the Least Common Multiple of 170 and 179?

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 170 and 179 is 30430.

LCM(170,179) = 30430

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## Least Common Multiple of 170 and 179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 170 and 179, than apply into the LCM equation.

GCF(170,179) = 1
LCM(170,179) = ( 170 × 179) / 1
LCM(170,179) = 30430 / 1
LCM(170,179) = 30430

## Least Common Multiple (LCM) of 170 and 179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 170 and 179. First we will calculate the prime factors of 170 and 179.

### Prime Factorization of 170

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

170 = 21 × 51 × 171

### Prime Factorization of 179

Prime factors of 179 are 179. Prime factorization of 179 in exponential form is:

179 = 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 170 and 179.

LCM(170,179) = 21 × 51 × 171 × 1791
LCM(170,179) = 30430