Least Common Multiple of 5130 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 5130 and 5137 the smallest integer that is 26352810 that is divisible by both numbers.

Least Common Multiple (LCM) of 5130 and 5137 is 26352810.

LCM(5130,5137) = 26352810

LCM of 5130 and 5137

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

LCM of:
and

Least Common Multiple of 5130 and 5137

LCM of 5130 and 5137 is 26352810

Least common multiple can be found by multiplying the highest exponent prime factors of 5130 and 5137. First we will calculate the prime factors of 5130 and 5137.

Prime Factorization of 5130


2 5130
3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 5130 are 2, 3, 5,19. Prime factorization of 5130 in exponential form is:

5130 = 21×33×51×191

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 5130 and 5137.

LCM(5130,5137) = 21×33×51×111×191×4671
LCM(5130,5137) = 26352810

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130

Factors of 5137

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

1, 11, 467, 5137

Least Common Multiple of 5130 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 5130 and 5137, than apply into the LCM equation.

GCF(5130,5137) = 1
LCM(5130,5137) = ( 5130 × 5137) / 1
LCM(5130,5137) = 26352810 / 1
LCM(5130,5137) = 26352810

Properties of LCM 5130 and 5137

(i) The LCM of 5137 and 5130 is associative

LCM of 5130 and 5137 = LCM of 5137 and 5130

Related Least Common Multiples of 5130

Related Least Common Multiples of 5137

Frequently Asked Questions on LCM of 5130 and 5137

1. What is the LCM of 5130 and 5137?

Answer: LCM of 5130 and 5137 is 26352810.

2. What are the Factors of 5130?

Answer: Factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130. There are 32 integers that are factors of 5130. The greatest factor of 5130 is 5130.

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 5130 and 5137?

Answer:

Least Common Multiple of 5130 and 5137 = 26352810

Step 1: Find the prime factorization of 5130

5130 = 2 x 3 x 3 x 3 x 5 x 19

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 = 26352810 = 2 x 3 x 3 x 3 x 5 x 11 x 19 x 467

Step 4: Therefore, the least common multiple of 5130 and 5137 is 26352810.