Least Common Multiple of 165 and 166

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 166 the smallest integer that is 27390 that is divisible by both numbers.

Least Common Multiple (LCM) of 165 and 166 is 27390.

LCM(165,166) = 27390

LCM of 165 and 166

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

LCM of:
and

Least Common Multiple of 165 and 166

LCM of 165 and 166 is 27390

Least common multiple can be found by multiplying the highest exponent prime factors of 165 and 166. First we will calculate the prime factors of 165 and 166.

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 166


2 166
83 83
1

Prime factors of 166 are 2,83. Prime factorization of 166 in exponential form is:

166 = 21×831

Now multiplying the highest exponent prime factors to calculate the LCM of 165 and 166.

LCM(165,166) = 21×31×51×111×831
LCM(165,166) = 27390

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 166

List of positive integer factors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Least Common Multiple of 165 and 166 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 166, than apply into the LCM equation.

GCF(165,166) = 1
LCM(165,166) = ( 165 × 166) / 1
LCM(165,166) = 27390 / 1
LCM(165,166) = 27390

Properties of LCM 165 and 166

(i) The LCM of 166 and 165 is associative

LCM of 165 and 166 = LCM of 166 and 165

Related Least Common Multiples of 165

Related Least Common Multiples of 166

Frequently Asked Questions on LCM of 165 and 166

1. What is the LCM of 165 and 166?

Answer: LCM of 165 and 166 is 27390.

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 166?

Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.

4. How to Find the LCM of 165 and 166?

Answer:

Least Common Multiple of 165 and 166 = 27390

Step 1: Find the prime factorization of 165

165 = 3 x 5 x 11

Step 2: Find the prime factorization of 166

166 = 2 x 83

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

LCM = 27390 = 2 x 3 x 5 x 11 x 83

Step 4: Therefore, the least common multiple of 165 and 166 is 27390.