Least Common Multiple of 5127 and 5131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5127 and 5131 the smallest integer that is 26306637 that is divisible by both numbers.

Least Common Multiple (LCM) of 5127 and 5131 is 26306637.

LCM(5127,5131) = 26306637

LCM of 5127 and 5131

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

LCM of:
and

Least Common Multiple of 5127 and 5131

LCM of 5127 and 5131 is 26306637

Least common multiple can be found by multiplying the highest exponent prime factors of 5127 and 5131. First we will calculate the prime factors of 5127 and 5131.

Prime Factorization of 5127


3 5127
1709 1709
1

Prime factors of 5127 are 3,1709. Prime factorization of 5127 in exponential form is:

5127 = 31×17091

Prime Factorization of 5131


7 5131
733 733
1

Prime factors of 5131 are 7,733. Prime factorization of 5131 in exponential form is:

5131 = 71×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 5127 and 5131.

LCM(5127,5131) = 31×71×7331×17091
LCM(5127,5131) = 26306637

Factors of 5127

List of positive integer factors of 5127 that divides 5127 without a remainder.

1, 3, 1709, 5127

Factors of 5131

List of positive integer factors of 5131 that divides 5131 without a remainder.

1, 7, 733, 5131

Least Common Multiple of 5127 and 5131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5127 and 5131, than apply into the LCM equation.

GCF(5127,5131) = 1
LCM(5127,5131) = ( 5127 × 5131) / 1
LCM(5127,5131) = 26306637 / 1
LCM(5127,5131) = 26306637

Properties of LCM 5127 and 5131

(i) The LCM of 5131 and 5127 is associative

LCM of 5127 and 5131 = LCM of 5131 and 5127

Related Least Common Multiples of 5127

Related Least Common Multiples of 5131

Frequently Asked Questions on LCM of 5127 and 5131

1. What is the LCM of 5127 and 5131?

Answer: LCM of 5127 and 5131 is 26306637.

2. What are the Factors of 5127?

Answer: Factors of 5127 are 1, 3, 1709, 5127. There are 4 integers that are factors of 5127. The greatest factor of 5127 is 5127.

3. What are the Factors of 5131?

Answer: Factors of 5131 are 1, 7, 733, 5131. There are 4 integers that are factors of 5131. The greatest factor of 5131 is 5131.

4. How to Find the LCM of 5127 and 5131?

Answer:

Least Common Multiple of 5127 and 5131 = 26306637

Step 1: Find the prime factorization of 5127

5127 = 3 x 1709

Step 2: Find the prime factorization of 5131

5131 = 7 x 733

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

LCM = 26306637 = 3 x 7 x 733 x 1709

Step 4: Therefore, the least common multiple of 5127 and 5131 is 26306637.