Least Common Multiple of 7125 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 7125 and 7131 the smallest integer that is 16936125 that is divisible by both numbers.

Least Common Multiple (LCM) of 7125 and 7131 is 16936125.

LCM(7125,7131) = 16936125

LCM of 7125 and 7131

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

LCM of:
and

Least Common Multiple of 7125 and 7131

LCM of 7125 and 7131 is 16936125

Least common multiple can be found by multiplying the highest exponent prime factors of 7125 and 7131. First we will calculate the prime factors of 7125 and 7131.

Prime Factorization of 7125


3 7125
5 2375
5 475
5 95
19 19
1

Prime factors of 7125 are 3, 5,19. Prime factorization of 7125 in exponential form is:

7125 = 31×53×191

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 7125 and 7131.

LCM(7125,7131) = 31×53×191×23771
LCM(7125,7131) = 16936125

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125

Factors of 7131

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

1, 3, 2377, 7131

Least Common Multiple of 7125 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 7125 and 7131, than apply into the LCM equation.

GCF(7125,7131) = 3
LCM(7125,7131) = ( 7125 × 7131) / 3
LCM(7125,7131) = 50808375 / 3
LCM(7125,7131) = 16936125

Properties of LCM 7125 and 7131

(i) The LCM of 7131 and 7125 is associative

LCM of 7125 and 7131 = LCM of 7131 and 7125

Related Least Common Multiples of 7125

Related Least Common Multiples of 7131

Frequently Asked Questions on LCM of 7125 and 7131

1. What is the LCM of 7125 and 7131?

Answer: LCM of 7125 and 7131 is 16936125.

2. What are the Factors of 7125?

Answer: Factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125. There are 16 integers that are factors of 7125. The greatest factor of 7125 is 7125.

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 7125 and 7131?

Answer:

Least Common Multiple of 7125 and 7131 = 16936125

Step 1: Find the prime factorization of 7125

7125 = 3 x 5 x 5 x 5 x 19

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 = 16936125 = 3 x 5 x 5 x 5 x 19 x 2377

Step 4: Therefore, the least common multiple of 7125 and 7131 is 16936125.