Least Common Multiple of 5158 and 5162

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 5162 the smallest integer that is 13312798 that is divisible by both numbers.

Least Common Multiple (LCM) of 5158 and 5162 is 13312798.

LCM(5158,5162) = 13312798

LCM of 5158 and 5162

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

LCM of:
and

Least Common Multiple of 5158 and 5162

LCM of 5158 and 5162 is 13312798

Least common multiple can be found by multiplying the highest exponent prime factors of 5158 and 5162. First we will calculate the prime factors of 5158 and 5162.

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 5162


2 5162
29 2581
89 89
1

Prime factors of 5162 are 2, 29,89. Prime factorization of 5162 in exponential form is:

5162 = 21×291×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5158 and 5162.

LCM(5158,5162) = 21×291×891×25791
LCM(5158,5162) = 13312798

Factors of 5158

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

1, 2, 2579, 5158

Factors of 5162

List of positive integer factors of 5162 that divides 5162 without a remainder.

1, 2, 29, 58, 89, 178, 2581, 5162

Least Common Multiple of 5158 and 5162 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 5162, than apply into the LCM equation.

GCF(5158,5162) = 2
LCM(5158,5162) = ( 5158 × 5162) / 2
LCM(5158,5162) = 26625596 / 2
LCM(5158,5162) = 13312798

Properties of LCM 5158 and 5162

(i) The LCM of 5162 and 5158 is associative

LCM of 5158 and 5162 = LCM of 5162 and 5158

Related Least Common Multiples of 5158

Related Least Common Multiples of 5162

Frequently Asked Questions on LCM of 5158 and 5162

1. What is the LCM of 5158 and 5162?

Answer: LCM of 5158 and 5162 is 13312798.

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 5162?

Answer: Factors of 5162 are 1, 2, 29, 58, 89, 178, 2581, 5162. There are 8 integers that are factors of 5162. The greatest factor of 5162 is 5162.

4. How to Find the LCM of 5158 and 5162?

Answer:

Least Common Multiple of 5158 and 5162 = 13312798

Step 1: Find the prime factorization of 5158

5158 = 2 x 2579

Step 2: Find the prime factorization of 5162

5162 = 2 x 29 x 89

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

LCM = 13312798 = 2 x 29 x 89 x 2579

Step 4: Therefore, the least common multiple of 5158 and 5162 is 13312798.