Least Common Multiple of 158 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 158 and 165 the smallest integer that is 26070 that is divisible by both numbers.

Least Common Multiple (LCM) of 158 and 165 is 26070.

LCM(158,165) = 26070

LCM of 158 and 165

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

LCM of:
and

Least Common Multiple of 158 and 165

LCM of 158 and 165 is 26070

Least common multiple can be found by multiplying the highest exponent prime factors of 158 and 165. First we will calculate the prime factors of 158 and 165.

Prime Factorization of 158


2 158
79 79
1

Prime factors of 158 are 2,79. Prime factorization of 158 in exponential form is:

158 = 21×791

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 158 and 165.

LCM(158,165) = 21×31×51×111×791
LCM(158,165) = 26070

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1, 2, 79, 158

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 158 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 158 and 165, than apply into the LCM equation.

GCF(158,165) = 1
LCM(158,165) = ( 158 × 165) / 1
LCM(158,165) = 26070 / 1
LCM(158,165) = 26070

Properties of LCM 158 and 165

(i) The LCM of 165 and 158 is associative

LCM of 158 and 165 = LCM of 165 and 158

Related Least Common Multiples of 158

Related Least Common Multiples of 165

Frequently Asked Questions on LCM of 158 and 165

1. What is the LCM of 158 and 165?

Answer: LCM of 158 and 165 is 26070.

2. What are the Factors of 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

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 158 and 165?

Answer:

Least Common Multiple of 158 and 165 = 26070

Step 1: Find the prime factorization of 158

158 = 2 x 79

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 = 26070 = 2 x 3 x 5 x 11 x 79

Step 4: Therefore, the least common multiple of 158 and 165 is 26070.