Least Common Multiple of 5132 and 5137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5132 and 5137 the smallest integer that is 26363084 that is divisible by both numbers.

Least Common Multiple (LCM) of 5132 and 5137 is 26363084.

LCM(5132,5137) = 26363084

LCM of 5132 and 5137

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

LCM of:
and

Least Common Multiple of 5132 and 5137

LCM of 5132 and 5137 is 26363084

Least common multiple can be found by multiplying the highest exponent prime factors of 5132 and 5137. First we will calculate the prime factors of 5132 and 5137.

Prime Factorization of 5132


2 5132
2 2566
1283 1283
1

Prime factors of 5132 are 2,1283. Prime factorization of 5132 in exponential form is:

5132 = 22×12831

Prime Factorization of 5137


11 5137
467 467
1

Prime factors of 5137 are 11,467. Prime factorization of 5137 in exponential form is:

5137 = 111×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 5132 and 5137.

LCM(5132,5137) = 22×111×4671×12831
LCM(5132,5137) = 26363084

Factors of 5132

List of positive integer factors of 5132 that divides 5132 without a remainder.

1, 2, 4, 1283, 2566, 5132

Factors of 5137

List of positive integer factors of 5137 that divides 5137 without a remainder.

1, 11, 467, 5137

Least Common Multiple of 5132 and 5137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5132 and 5137, than apply into the LCM equation.

GCF(5132,5137) = 1
LCM(5132,5137) = ( 5132 × 5137) / 1
LCM(5132,5137) = 26363084 / 1
LCM(5132,5137) = 26363084

Properties of LCM 5132 and 5137

(i) The LCM of 5137 and 5132 is associative

LCM of 5132 and 5137 = LCM of 5137 and 5132

Related Least Common Multiples of 5132

Related Least Common Multiples of 5137

Frequently Asked Questions on LCM of 5132 and 5137

1. What is the LCM of 5132 and 5137?

Answer: LCM of 5132 and 5137 is 26363084.

2. What are the Factors of 5132?

Answer: Factors of 5132 are 1, 2, 4, 1283, 2566, 5132. There are 6 integers that are factors of 5132. The greatest factor of 5132 is 5132.

3. What are the Factors of 5137?

Answer: Factors of 5137 are 1, 11, 467, 5137. There are 4 integers that are factors of 5137. The greatest factor of 5137 is 5137.

4. How to Find the LCM of 5132 and 5137?

Answer:

Least Common Multiple of 5132 and 5137 = 26363084

Step 1: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

Step 2: Find the prime factorization of 5137

5137 = 11 x 467

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

LCM = 26363084 = 2 x 2 x 11 x 467 x 1283

Step 4: Therefore, the least common multiple of 5132 and 5137 is 26363084.