Least Common Multiple of 5158 and 5166

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 5166 the smallest integer that is 13323114 that is divisible by both numbers.

Least Common Multiple (LCM) of 5158 and 5166 is 13323114.

LCM(5158,5166) = 13323114

LCM of 5158 and 5166

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

LCM of:
and

Least Common Multiple of 5158 and 5166

LCM of 5158 and 5166 is 13323114

Least common multiple can be found by multiplying the highest exponent prime factors of 5158 and 5166. First we will calculate the prime factors of 5158 and 5166.

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 5166


2 5166
3 2583
3 861
7 287
41 41
1

Prime factors of 5166 are 2, 3, 7,41. Prime factorization of 5166 in exponential form is:

5166 = 21×32×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5158 and 5166.

LCM(5158,5166) = 21×32×71×411×25791
LCM(5158,5166) = 13323114

Factors of 5158

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

1, 2, 2579, 5158

Factors of 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166

Least Common Multiple of 5158 and 5166 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 5166, than apply into the LCM equation.

GCF(5158,5166) = 2
LCM(5158,5166) = ( 5158 × 5166) / 2
LCM(5158,5166) = 26646228 / 2
LCM(5158,5166) = 13323114

Properties of LCM 5158 and 5166

(i) The LCM of 5166 and 5158 is associative

LCM of 5158 and 5166 = LCM of 5166 and 5158

Related Least Common Multiples of 5158

Related Least Common Multiples of 5166

Frequently Asked Questions on LCM of 5158 and 5166

1. What is the LCM of 5158 and 5166?

Answer: LCM of 5158 and 5166 is 13323114.

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 5166?

Answer: Factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166. There are 24 integers that are factors of 5166. The greatest factor of 5166 is 5166.

4. How to Find the LCM of 5158 and 5166?

Answer:

Least Common Multiple of 5158 and 5166 = 13323114

Step 1: Find the prime factorization of 5158

5158 = 2 x 2579

Step 2: Find the prime factorization of 5166

5166 = 2 x 3 x 3 x 7 x 41

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

LCM = 13323114 = 2 x 3 x 3 x 7 x 41 x 2579

Step 4: Therefore, the least common multiple of 5158 and 5166 is 13323114.