# What is the Least Common Multiple of 170 and 181?

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 181 is 30770.

LCM(170,181) = 30770

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## Least Common Multiple of 170 and 181 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 181, than apply into the LCM equation.

GCF(170,181) = 1
LCM(170,181) = ( 170 × 181) / 1
LCM(170,181) = 30770 / 1
LCM(170,181) = 30770

## Least Common Multiple (LCM) of 170 and 181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 170 and 181. First we will calculate the prime factors of 170 and 181.

### 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 181

Prime factors of 181 are 181. Prime factorization of 181 in exponential form is:

181 = 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 170 and 181.

LCM(170,181) = 21 × 51 × 171 × 1811
LCM(170,181) = 30770