Least Common Multiple of 7131 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 7131 and 7137 the smallest integer that is 16964649 that is divisible by both numbers.

Least Common Multiple (LCM) of 7131 and 7137 is 16964649.

LCM(7131,7137) = 16964649

LCM of 7131 and 7137

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

LCM of:
and

Least Common Multiple of 7131 and 7137

LCM of 7131 and 7137 is 16964649

Least common multiple can be found by multiplying the highest exponent prime factors of 7131 and 7137. First we will calculate the prime factors of 7131 and 7137.

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

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 7131 and 7137.

LCM(7131,7137) = 32×131×611×23771
LCM(7131,7137) = 16964649

Factors of 7131

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

1, 3, 2377, 7131

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 7131 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 7131 and 7137, than apply into the LCM equation.

GCF(7131,7137) = 3
LCM(7131,7137) = ( 7131 × 7137) / 3
LCM(7131,7137) = 50893947 / 3
LCM(7131,7137) = 16964649

Properties of LCM 7131 and 7137

(i) The LCM of 7137 and 7131 is associative

LCM of 7131 and 7137 = LCM of 7137 and 7131

Related Least Common Multiples of 7131

Related Least Common Multiples of 7137

Frequently Asked Questions on LCM of 7131 and 7137

1. What is the LCM of 7131 and 7137?

Answer: LCM of 7131 and 7137 is 16964649.

2. 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.

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 7131 and 7137?

Answer:

Least Common Multiple of 7131 and 7137 = 16964649

Step 1: Find the prime factorization of 7131

7131 = 3 x 2377

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 = 16964649 = 3 x 3 x 13 x 61 x 2377

Step 4: Therefore, the least common multiple of 7131 and 7137 is 16964649.