# What is the Least Common Multiple of 161 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 161 and 170 is **27370**.

LCM(161,170) = 27370

## Least Common Multiple of 161 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 161 and 170, than apply into the LCM equation.

GCF(161,170) = 1

LCM(161,170) = ( 161 × 170) / 1

LCM(161,170) = 27370 / 1

LCM(161,170) = 27370

## Least Common Multiple (LCM) of 161 and 170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 161 and 170. First we will calculate the **prime factors of 161 and 170**.

### Prime Factorization of 161

Prime factors of 161 are 7, 23. Prime factorization of **161** in exponential form is:

161 = 7^{1} × 23^{1}

### Prime Factorization of 170

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

170 = 2^{1} × 5^{1} × 17^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 161 and 170**.

LCM(161,170) = 7^{1} × 23^{1} × 2^{1} × 5^{1} × 17^{1}

LCM(161,170) = 27370

#### Related Least Common Multiples of 161

- LCM of 161 and 165
- LCM of 161 and 166
- LCM of 161 and 167
- LCM of 161 and 168
- LCM of 161 and 169
- LCM of 161 and 170
- LCM of 161 and 171
- LCM of 161 and 172
- LCM of 161 and 173
- LCM of 161 and 174
- LCM of 161 and 175
- LCM of 161 and 176
- LCM of 161 and 177
- LCM of 161 and 178
- LCM of 161 and 179
- LCM of 161 and 180
- LCM of 161 and 181

#### Related Least Common Multiples of 170

- LCM of 170 and 174
- LCM of 170 and 175
- LCM of 170 and 176
- LCM of 170 and 177
- LCM of 170 and 178
- LCM of 170 and 179
- LCM of 170 and 180
- LCM of 170 and 181
- LCM of 170 and 182
- LCM of 170 and 183
- LCM of 170 and 184
- LCM of 170 and 185
- LCM of 170 and 186
- LCM of 170 and 187
- LCM of 170 and 188
- LCM of 170 and 189
- LCM of 170 and 190