Least Common Multiple of 7120 and 7125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7120 and 7125 the smallest integer that is 10146000 that is divisible by both numbers.

Least Common Multiple (LCM) of 7120 and 7125 is 10146000.

LCM(7120,7125) = 10146000

LCM of 7120 and 7125

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

LCM of:
and

Least Common Multiple of 7120 and 7125

LCM of 7120 and 7125 is 10146000

Least common multiple can be found by multiplying the highest exponent prime factors of 7120 and 7125. First we will calculate the prime factors of 7120 and 7125.

Prime Factorization of 7120


2 7120
2 3560
2 1780
2 890
5 445
89 89
1

Prime factors of 7120 are 2, 5,89. Prime factorization of 7120 in exponential form is:

7120 = 24×51×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7120 and 7125.

LCM(7120,7125) = 24×31×53×191×891
LCM(7120,7125) = 10146000

Factors of 7120

List of positive integer factors of 7120 that divides 7120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120

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

Least Common Multiple of 7120 and 7125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7120 and 7125, than apply into the LCM equation.

GCF(7120,7125) = 5
LCM(7120,7125) = ( 7120 × 7125) / 5
LCM(7120,7125) = 50730000 / 5
LCM(7120,7125) = 10146000

Properties of LCM 7120 and 7125

(i) The LCM of 7125 and 7120 is associative

LCM of 7120 and 7125 = LCM of 7125 and 7120

Related Least Common Multiples of 7120

Related Least Common Multiples of 7125

Frequently Asked Questions on LCM of 7120 and 7125

1. What is the LCM of 7120 and 7125?

Answer: LCM of 7120 and 7125 is 10146000.

2. What are the Factors of 7120?

Answer: Factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120. There are 20 integers that are factors of 7120. The greatest factor of 7120 is 7120.

3. 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.

4. How to Find the LCM of 7120 and 7125?

Answer:

Least Common Multiple of 7120 and 7125 = 10146000

Step 1: Find the prime factorization of 7120

7120 = 2 x 2 x 2 x 2 x 5 x 89

Step 2: Find the prime factorization of 7125

7125 = 3 x 5 x 5 x 5 x 19

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

LCM = 10146000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 19 x 89

Step 4: Therefore, the least common multiple of 7120 and 7125 is 10146000.