Least Common Multiple of 159 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 159 and 165 the smallest integer that is 8745 that is divisible by both numbers.

Least Common Multiple (LCM) of 159 and 165 is 8745.

LCM(159,165) = 8745

LCM of 159 and 165

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

LCM of:
and

Least Common Multiple of 159 and 165

LCM of 159 and 165 is 8745

Least common multiple can be found by multiplying the highest exponent prime factors of 159 and 165. First we will calculate the prime factors of 159 and 165.

Prime Factorization of 159


3 159
53 53
1

Prime factors of 159 are 3,53. Prime factorization of 159 in exponential form is:

159 = 31×531

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 159 and 165.

LCM(159,165) = 31×51×111×531
LCM(159,165) = 8745

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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 159 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 159 and 165, than apply into the LCM equation.

GCF(159,165) = 3
LCM(159,165) = ( 159 × 165) / 3
LCM(159,165) = 26235 / 3
LCM(159,165) = 8745

Properties of LCM 159 and 165

(i) The LCM of 165 and 159 is associative

LCM of 159 and 165 = LCM of 165 and 159

Related Least Common Multiples of 159

Related Least Common Multiples of 165

Frequently Asked Questions on LCM of 159 and 165

1. What is the LCM of 159 and 165?

Answer: LCM of 159 and 165 is 8745.

2. What are the Factors of 159?

Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.

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 159 and 165?

Answer:

Least Common Multiple of 159 and 165 = 8745

Step 1: Find the prime factorization of 159

159 = 3 x 53

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 = 8745 = 3 x 5 x 11 x 53

Step 4: Therefore, the least common multiple of 159 and 165 is 8745.