Least Common Multiple of 7125 and 7132

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 7132 the smallest integer that is 50815500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7125 and 7132 is 50815500.

LCM(7125,7132) = 50815500

LCM of 7125 and 7132

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

LCM of:
and

Least Common Multiple of 7125 and 7132

LCM of 7125 and 7132 is 50815500

Least common multiple can be found by multiplying the highest exponent prime factors of 7125 and 7132. First we will calculate the prime factors of 7125 and 7132.

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 7132


2 7132
2 3566
1783 1783
1

Prime factors of 7132 are 2,1783. Prime factorization of 7132 in exponential form is:

7132 = 22×17831

Now multiplying the highest exponent prime factors to calculate the LCM of 7125 and 7132.

LCM(7125,7132) = 22×31×53×191×17831
LCM(7125,7132) = 50815500

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 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1, 2, 4, 1783, 3566, 7132

Least Common Multiple of 7125 and 7132 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 7132, than apply into the LCM equation.

GCF(7125,7132) = 1
LCM(7125,7132) = ( 7125 × 7132) / 1
LCM(7125,7132) = 50815500 / 1
LCM(7125,7132) = 50815500

Properties of LCM 7125 and 7132

(i) The LCM of 7132 and 7125 is associative

LCM of 7125 and 7132 = LCM of 7132 and 7125

Related Least Common Multiples of 7125

Related Least Common Multiples of 7132

Frequently Asked Questions on LCM of 7125 and 7132

1. What is the LCM of 7125 and 7132?

Answer: LCM of 7125 and 7132 is 50815500.

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 7132?

Answer: Factors of 7132 are 1, 2, 4, 1783, 3566, 7132. There are 6 integers that are factors of 7132. The greatest factor of 7132 is 7132.

4. How to Find the LCM of 7125 and 7132?

Answer:

Least Common Multiple of 7125 and 7132 = 50815500

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 7132

7132 = 2 x 2 x 1783

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

LCM = 50815500 = 2 x 2 x 3 x 5 x 5 x 5 x 19 x 1783

Step 4: Therefore, the least common multiple of 7125 and 7132 is 50815500.