Least Common Multiple of 165 and 173

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 173 the smallest integer that is 28545 that is divisible by both numbers.

Least Common Multiple (LCM) of 165 and 173 is 28545.

LCM(165,173) = 28545

LCM of 165 and 173

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

LCM of:
and

Least Common Multiple of 165 and 173

LCM of 165 and 173 is 28545

Least common multiple can be found by multiplying the highest exponent prime factors of 165 and 173. First we will calculate the prime factors of 165 and 173.

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 173


173 173
1

Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:

173 = 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 165 and 173.

LCM(165,173) = 31×51×111×1731
LCM(165,173) = 28545

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 173

List of positive integer factors of 173 that divides 173 without a remainder.

1, 173

Least Common Multiple of 165 and 173 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 173, than apply into the LCM equation.

GCF(165,173) = 1
LCM(165,173) = ( 165 × 173) / 1
LCM(165,173) = 28545 / 1
LCM(165,173) = 28545

Properties of LCM 165 and 173

(i) The LCM of 173 and 165 is associative

LCM of 165 and 173 = LCM of 173 and 165

Related Least Common Multiples of 165

Related Least Common Multiples of 173

Frequently Asked Questions on LCM of 165 and 173

1. What is the LCM of 165 and 173?

Answer: LCM of 165 and 173 is 28545.

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 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

4. How to Find the LCM of 165 and 173?

Answer:

Least Common Multiple of 165 and 173 = 28545

Step 1: Find the prime factorization of 165

165 = 3 x 5 x 11

Step 2: Find the prime factorization of 173

173 = 173

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

LCM = 28545 = 3 x 5 x 11 x 173

Step 4: Therefore, the least common multiple of 165 and 173 is 28545.