Least Common Multiple of 164 and 165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 164 and 165 the smallest integer that is 27060 that is divisible by both numbers.

Least Common Multiple (LCM) of 164 and 165 is 27060.

LCM(164,165) = 27060

LCM of 164 and 165

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

LCM of:
and

Least Common Multiple of 164 and 165

LCM of 164 and 165 is 27060

Least common multiple can be found by multiplying the highest exponent prime factors of 164 and 165. First we will calculate the prime factors of 164 and 165.

Prime Factorization of 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 164 and 165.

LCM(164,165) = 22×31×51×111×411
LCM(164,165) = 27060

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Factors of 165

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

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

Least Common Multiple of 164 and 165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 164 and 165, than apply into the LCM equation.

GCF(164,165) = 1
LCM(164,165) = ( 164 × 165) / 1
LCM(164,165) = 27060 / 1
LCM(164,165) = 27060

Properties of LCM 164 and 165

(i) The LCM of 165 and 164 is associative

LCM of 164 and 165 = LCM of 165 and 164

Related Least Common Multiples of 164

Related Least Common Multiples of 165

Frequently Asked Questions on LCM of 164 and 165

1. What is the LCM of 164 and 165?

Answer: LCM of 164 and 165 is 27060.

2. What are the Factors of 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

3. 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.

4. How to Find the LCM of 164 and 165?

Answer:

Least Common Multiple of 164 and 165 = 27060

Step 1: Find the prime factorization of 164

164 = 2 x 2 x 41

Step 2: Find the prime factorization of 165

165 = 3 x 5 x 11

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

LCM = 27060 = 2 x 2 x 3 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 164 and 165 is 27060.