Least Common Multiple of 169 and 170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 169 and 170 the smallest integer that is 28730 that is divisible by both numbers.

Least Common Multiple (LCM) of 169 and 170 is 28730.

LCM(169,170) = 28730

LCM of 169 and 170

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 169 and 170

LCM of 169 and 170 is 28730

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 170. First we will calculate the prime factors of 169 and 170.

Prime Factorization of 169


13 169
13 13
1

Prime factors of 169 are 13. Prime factorization of 169 in exponential form is:

169 = 132

Prime Factorization of 170


2 170
5 85
17 17
1

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 169 and 170.

LCM(169,170) = 21×51×132×171
LCM(169,170) = 28730

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1, 13, 169

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Least Common Multiple of 169 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 169 and 170, than apply into the LCM equation.

GCF(169,170) = 1
LCM(169,170) = ( 169 × 170) / 1
LCM(169,170) = 28730 / 1
LCM(169,170) = 28730

Properties of LCM 169 and 170

(i) The LCM of 170 and 169 is associative

LCM of 169 and 170 = LCM of 170 and 169

Related Least Common Multiples of 169

Related Least Common Multiples of 170

Frequently Asked Questions on LCM of 169 and 170

1. What is the LCM of 169 and 170?

Answer: LCM of 169 and 170 is 28730.

2. What are the Factors of 169?

Answer: Factors of 169 are 1, 13, 169. There are 3 integers that are factors of 169. The greatest factor of 169 is 169.

3. What are the Factors of 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

4. How to Find the LCM of 169 and 170?

Answer:

Least Common Multiple of 169 and 170 = 28730

Step 1: Find the prime factorization of 169

169 = 13 x 13

Step 2: Find the prime factorization of 170

170 = 2 x 5 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 28730 = 2 x 5 x 13 x 13 x 17

Step 4: Therefore, the least common multiple of 169 and 170 is 28730.