Least Common Multiple of 5131 and 5135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5131 and 5135 the smallest integer that is 26347685 that is divisible by both numbers.

Least Common Multiple (LCM) of 5131 and 5135 is 26347685.

LCM(5131,5135) = 26347685

LCM of 5131 and 5135

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

LCM of:
and

Least Common Multiple of 5131 and 5135

LCM of 5131 and 5135 is 26347685

Least common multiple can be found by multiplying the highest exponent prime factors of 5131 and 5135. First we will calculate the prime factors of 5131 and 5135.

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

Prime Factorization of 5135


5 5135
13 1027
79 79
1

Prime factors of 5135 are 5, 13,79. Prime factorization of 5135 in exponential form is:

5135 = 51×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5131 and 5135.

LCM(5131,5135) = 51×71×131×791×7331
LCM(5131,5135) = 26347685

Factors of 5131

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

1, 7, 733, 5131

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1, 5, 13, 65, 79, 395, 1027, 5135

Least Common Multiple of 5131 and 5135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5131 and 5135, than apply into the LCM equation.

GCF(5131,5135) = 1
LCM(5131,5135) = ( 5131 × 5135) / 1
LCM(5131,5135) = 26347685 / 1
LCM(5131,5135) = 26347685

Properties of LCM 5131 and 5135

(i) The LCM of 5135 and 5131 is associative

LCM of 5131 and 5135 = LCM of 5135 and 5131

Related Least Common Multiples of 5131

Related Least Common Multiples of 5135

Frequently Asked Questions on LCM of 5131 and 5135

1. What is the LCM of 5131 and 5135?

Answer: LCM of 5131 and 5135 is 26347685.

2. 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.

3. What are the Factors of 5135?

Answer: Factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135. There are 8 integers that are factors of 5135. The greatest factor of 5135 is 5135.

4. How to Find the LCM of 5131 and 5135?

Answer:

Least Common Multiple of 5131 and 5135 = 26347685

Step 1: Find the prime factorization of 5131

5131 = 7 x 733

Step 2: Find the prime factorization of 5135

5135 = 5 x 13 x 79

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

LCM = 26347685 = 5 x 7 x 13 x 79 x 733

Step 4: Therefore, the least common multiple of 5131 and 5135 is 26347685.