Least Common Multiple of 157 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 157 and 165 the smallest integer that is 25905 that is divisible by both numbers.

Least Common Multiple (LCM) of 157 and 165 is 25905.

LCM(157,165) = 25905

LCM of 157 and 165

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

LCM of:
and

Least Common Multiple of 157 and 165

LCM of 157 and 165 is 25905

Least common multiple can be found by multiplying the highest exponent prime factors of 157 and 165. First we will calculate the prime factors of 157 and 165.

Prime Factorization of 157


157 157
1

Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:

157 = 1571

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 157 and 165.

LCM(157,165) = 31×51×111×1571
LCM(157,165) = 25905

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1, 157

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 157 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 157 and 165, than apply into the LCM equation.

GCF(157,165) = 1
LCM(157,165) = ( 157 × 165) / 1
LCM(157,165) = 25905 / 1
LCM(157,165) = 25905

Properties of LCM 157 and 165

(i) The LCM of 165 and 157 is associative

LCM of 157 and 165 = LCM of 165 and 157

Related Least Common Multiples of 157

Related Least Common Multiples of 165

Frequently Asked Questions on LCM of 157 and 165

1. What is the LCM of 157 and 165?

Answer: LCM of 157 and 165 is 25905.

2. What are the Factors of 157?

Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.

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 157 and 165?

Answer:

Least Common Multiple of 157 and 165 = 25905

Step 1: Find the prime factorization of 157

157 = 157

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 = 25905 = 3 x 5 x 11 x 157

Step 4: Therefore, the least common multiple of 157 and 165 is 25905.