Least Common Multiple of 5156 and 5158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5156 and 5158 the smallest integer that is 13297324 that is divisible by both numbers.

Least Common Multiple (LCM) of 5156 and 5158 is 13297324.

LCM(5156,5158) = 13297324

LCM of 5156 and 5158

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

LCM of:
and

Least Common Multiple of 5156 and 5158

LCM of 5156 and 5158 is 13297324

Least common multiple can be found by multiplying the highest exponent prime factors of 5156 and 5158. First we will calculate the prime factors of 5156 and 5158.

Prime Factorization of 5156


2 5156
2 2578
1289 1289
1

Prime factors of 5156 are 2,1289. Prime factorization of 5156 in exponential form is:

5156 = 22×12891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5156 and 5158.

LCM(5156,5158) = 22×12891×25791
LCM(5156,5158) = 13297324

Factors of 5156

List of positive integer factors of 5156 that divides 5156 without a remainder.

1, 2, 4, 1289, 2578, 5156

Factors of 5158

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

1, 2, 2579, 5158

Least Common Multiple of 5156 and 5158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5156 and 5158, than apply into the LCM equation.

GCF(5156,5158) = 2
LCM(5156,5158) = ( 5156 × 5158) / 2
LCM(5156,5158) = 26594648 / 2
LCM(5156,5158) = 13297324

Properties of LCM 5156 and 5158

(i) The LCM of 5158 and 5156 is associative

LCM of 5156 and 5158 = LCM of 5158 and 5156

Related Least Common Multiples of 5156

Related Least Common Multiples of 5158

Frequently Asked Questions on LCM of 5156 and 5158

1. What is the LCM of 5156 and 5158?

Answer: LCM of 5156 and 5158 is 13297324.

2. What are the Factors of 5156?

Answer: Factors of 5156 are 1, 2, 4, 1289, 2578, 5156. There are 6 integers that are factors of 5156. The greatest factor of 5156 is 5156.

3. 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.

4. How to Find the LCM of 5156 and 5158?

Answer:

Least Common Multiple of 5156 and 5158 = 13297324

Step 1: Find the prime factorization of 5156

5156 = 2 x 2 x 1289

Step 2: Find the prime factorization of 5158

5158 = 2 x 2579

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

LCM = 13297324 = 2 x 2 x 1289 x 2579

Step 4: Therefore, the least common multiple of 5156 and 5158 is 13297324.