Least Common Multiple of 165 and 169

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 169 the smallest integer that is 27885 that is divisible by both numbers.

Least Common Multiple (LCM) of 165 and 169 is 27885.

LCM(165,169) = 27885

LCM of 165 and 169

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

LCM of:
and

Least Common Multiple of 165 and 169

LCM of 165 and 169 is 27885

Least common multiple can be found by multiplying the highest exponent prime factors of 165 and 169. First we will calculate the prime factors of 165 and 169.

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 169


13 169
13 13
1

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

169 = 132

Now multiplying the highest exponent prime factors to calculate the LCM of 165 and 169.

LCM(165,169) = 31×51×111×132
LCM(165,169) = 27885

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 169

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

1, 13, 169

Least Common Multiple of 165 and 169 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 169, than apply into the LCM equation.

GCF(165,169) = 1
LCM(165,169) = ( 165 × 169) / 1
LCM(165,169) = 27885 / 1
LCM(165,169) = 27885

Properties of LCM 165 and 169

(i) The LCM of 169 and 165 is associative

LCM of 165 and 169 = LCM of 169 and 165

Related Least Common Multiples of 165

Related Least Common Multiples of 169

Frequently Asked Questions on LCM of 165 and 169

1. What is the LCM of 165 and 169?

Answer: LCM of 165 and 169 is 27885.

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 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.

4. How to Find the LCM of 165 and 169?

Answer:

Least Common Multiple of 165 and 169 = 27885

Step 1: Find the prime factorization of 165

165 = 3 x 5 x 11

Step 2: Find the prime factorization of 169

169 = 13 x 13

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

LCM = 27885 = 3 x 5 x 11 x 13 x 13

Step 4: Therefore, the least common multiple of 165 and 169 is 27885.