Least Common Multiple of 5158 and 5165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5158 and 5165 the smallest integer that is 26641070 that is divisible by both numbers.

Least Common Multiple (LCM) of 5158 and 5165 is 26641070.

LCM(5158,5165) = 26641070

LCM of 5158 and 5165

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

LCM of:
and

Least Common Multiple of 5158 and 5165

LCM of 5158 and 5165 is 26641070

Least common multiple can be found by multiplying the highest exponent prime factors of 5158 and 5165. First we will calculate the prime factors of 5158 and 5165.

Prime Factorization of 5158


2 5158
2579 2579
1

Prime factors of 5158 are 2,2579. Prime factorization of 5158 in exponential form is:

5158 = 21×25791

Prime Factorization of 5165


5 5165
1033 1033
1

Prime factors of 5165 are 5,1033. Prime factorization of 5165 in exponential form is:

5165 = 51×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 5158 and 5165.

LCM(5158,5165) = 21×51×10331×25791
LCM(5158,5165) = 26641070

Factors of 5158

List of positive integer factors of 5158 that divides 5158 without a remainder.

1, 2, 2579, 5158

Factors of 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1, 5, 1033, 5165

Least Common Multiple of 5158 and 5165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5158 and 5165, than apply into the LCM equation.

GCF(5158,5165) = 1
LCM(5158,5165) = ( 5158 × 5165) / 1
LCM(5158,5165) = 26641070 / 1
LCM(5158,5165) = 26641070

Properties of LCM 5158 and 5165

(i) The LCM of 5165 and 5158 is associative

LCM of 5158 and 5165 = LCM of 5165 and 5158

Related Least Common Multiples of 5158

Related Least Common Multiples of 5165

Frequently Asked Questions on LCM of 5158 and 5165

1. What is the LCM of 5158 and 5165?

Answer: LCM of 5158 and 5165 is 26641070.

2. What are the Factors of 5158?

Answer: Factors of 5158 are 1, 2, 2579, 5158. There are 4 integers that are factors of 5158. The greatest factor of 5158 is 5158.

3. What are the Factors of 5165?

Answer: Factors of 5165 are 1, 5, 1033, 5165. There are 4 integers that are factors of 5165. The greatest factor of 5165 is 5165.

4. How to Find the LCM of 5158 and 5165?

Answer:

Least Common Multiple of 5158 and 5165 = 26641070

Step 1: Find the prime factorization of 5158

5158 = 2 x 2579

Step 2: Find the prime factorization of 5165

5165 = 5 x 1033

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

LCM = 26641070 = 2 x 5 x 1033 x 2579

Step 4: Therefore, the least common multiple of 5158 and 5165 is 26641070.