Least Common Multiple of 7130 and 7131

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 7131 the smallest integer that is 50844030 that is divisible by both numbers.

Least Common Multiple (LCM) of 7130 and 7131 is 50844030.

LCM(7130,7131) = 50844030

LCM of 7130 and 7131

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

LCM of:
and

Least Common Multiple of 7130 and 7131

LCM of 7130 and 7131 is 50844030

Least common multiple can be found by multiplying the highest exponent prime factors of 7130 and 7131. First we will calculate the prime factors of 7130 and 7131.

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 7131


3 7131
2377 2377
1

Prime factors of 7131 are 3,2377. Prime factorization of 7131 in exponential form is:

7131 = 31×23771

Now multiplying the highest exponent prime factors to calculate the LCM of 7130 and 7131.

LCM(7130,7131) = 21×31×51×231×311×23771
LCM(7130,7131) = 50844030

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 7131

List of positive integer factors of 7131 that divides 7131 without a remainder.

1, 3, 2377, 7131

Least Common Multiple of 7130 and 7131 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 7131, than apply into the LCM equation.

GCF(7130,7131) = 1
LCM(7130,7131) = ( 7130 × 7131) / 1
LCM(7130,7131) = 50844030 / 1
LCM(7130,7131) = 50844030

Properties of LCM 7130 and 7131

(i) The LCM of 7131 and 7130 is associative

LCM of 7130 and 7131 = LCM of 7131 and 7130

Related Least Common Multiples of 7130

Related Least Common Multiples of 7131

Frequently Asked Questions on LCM of 7130 and 7131

1. What is the LCM of 7130 and 7131?

Answer: LCM of 7130 and 7131 is 50844030.

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 7131?

Answer: Factors of 7131 are 1, 3, 2377, 7131. There are 4 integers that are factors of 7131. The greatest factor of 7131 is 7131.

4. How to Find the LCM of 7130 and 7131?

Answer:

Least Common Multiple of 7130 and 7131 = 50844030

Step 1: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

Step 2: Find the prime factorization of 7131

7131 = 3 x 2377

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

LCM = 50844030 = 2 x 3 x 5 x 23 x 31 x 2377

Step 4: Therefore, the least common multiple of 7130 and 7131 is 50844030.