Least Common Multiple of 7130 and 7137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7130 and 7137 the smallest integer that is 50886810 that is divisible by both numbers.

Least Common Multiple (LCM) of 7130 and 7137 is 50886810.

LCM(7130,7137) = 50886810

LCM of 7130 and 7137

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

LCM of:
and

Least Common Multiple of 7130 and 7137

LCM of 7130 and 7137 is 50886810

Least common multiple can be found by multiplying the highest exponent prime factors of 7130 and 7137. First we will calculate the prime factors of 7130 and 7137.

Prime Factorization of 7130


2 7130
5 3565
23 713
31 31
1

Prime factors of 7130 are 2, 5, 23,31. Prime factorization of 7130 in exponential form is:

7130 = 21×51×231×311

Prime Factorization of 7137


3 7137
3 2379
13 793
61 61
1

Prime factors of 7137 are 3, 13,61. Prime factorization of 7137 in exponential form is:

7137 = 32×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7130 and 7137.

LCM(7130,7137) = 21×32×51×131×231×311×611
LCM(7130,7137) = 50886810

Factors of 7130

List of positive integer factors of 7130 that divides 7130 without a remainder.

1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130

Factors of 7137

List of positive integer factors of 7137 that divides 7137 without a remainder.

1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137

Least Common Multiple of 7130 and 7137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7130 and 7137, than apply into the LCM equation.

GCF(7130,7137) = 1
LCM(7130,7137) = ( 7130 × 7137) / 1
LCM(7130,7137) = 50886810 / 1
LCM(7130,7137) = 50886810

Properties of LCM 7130 and 7137

(i) The LCM of 7137 and 7130 is associative

LCM of 7130 and 7137 = LCM of 7137 and 7130

Related Least Common Multiples of 7130

Related Least Common Multiples of 7137

Frequently Asked Questions on LCM of 7130 and 7137

1. What is the LCM of 7130 and 7137?

Answer: LCM of 7130 and 7137 is 50886810.

2. What are the Factors of 7130?

Answer: Factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130. There are 16 integers that are factors of 7130. The greatest factor of 7130 is 7130.

3. What are the Factors of 7137?

Answer: Factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137. There are 12 integers that are factors of 7137. The greatest factor of 7137 is 7137.

4. How to Find the LCM of 7130 and 7137?

Answer:

Least Common Multiple of 7130 and 7137 = 50886810

Step 1: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

Step 2: Find the prime factorization of 7137

7137 = 3 x 3 x 13 x 61

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

LCM = 50886810 = 2 x 3 x 3 x 5 x 13 x 23 x 31 x 61

Step 4: Therefore, the least common multiple of 7130 and 7137 is 50886810.