Least Common Multiple of 165 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 165 and 170 the smallest integer that is 5610 that is divisible by both numbers.

Least Common Multiple (LCM) of 165 and 170 is 5610.

LCM(165,170) = 5610

LCM of 165 and 170

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

LCM of:
and

Least Common Multiple of 165 and 170

LCM of 165 and 170 is 5610

Least common multiple can be found by multiplying the highest exponent prime factors of 165 and 170. First we will calculate the prime factors of 165 and 170.

Prime Factorization of 165


3 165
5 55
11 11
1

Prime factors of 165 are 3, 5,11. Prime factorization of 165 in exponential form is:

165 = 31×51×111

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 165 and 170.

LCM(165,170) = 21×31×51×111×171
LCM(165,170) = 5610

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 165 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 165 and 170, than apply into the LCM equation.

GCF(165,170) = 5
LCM(165,170) = ( 165 × 170) / 5
LCM(165,170) = 28050 / 5
LCM(165,170) = 5610

Properties of LCM 165 and 170

(i) The LCM of 170 and 165 is associative

LCM of 165 and 170 = LCM of 170 and 165

Related Least Common Multiples of 165

Related Least Common Multiples of 170

Frequently Asked Questions on LCM of 165 and 170

1. What is the LCM of 165 and 170?

Answer: LCM of 165 and 170 is 5610.

2. What are the Factors of 165?

Answer: Factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165. There are 8 integers that are factors of 165. The greatest factor of 165 is 165.

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 165 and 170?

Answer:

Least Common Multiple of 165 and 170 = 5610

Step 1: Find the prime factorization of 165

165 = 3 x 5 x 11

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 = 5610 = 2 x 3 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 165 and 170 is 5610.