Least Common Multiple of 8120 and 8125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8120 and 8125 the smallest integer that is 13195000 that is divisible by both numbers.

Least Common Multiple (LCM) of 8120 and 8125 is 13195000.

LCM(8120,8125) = 13195000

LCM of 8120 and 8125

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

LCM of:
and

Least Common Multiple of 8120 and 8125

LCM of 8120 and 8125 is 13195000

Least common multiple can be found by multiplying the highest exponent prime factors of 8120 and 8125. First we will calculate the prime factors of 8120 and 8125.

Prime Factorization of 8120


2 8120
2 4060
2 2030
5 1015
7 203
29 29
1

Prime factors of 8120 are 2, 5, 7,29. Prime factorization of 8120 in exponential form is:

8120 = 23×51×71×291

Prime Factorization of 8125


5 8125
5 1625
5 325
5 65
13 13
1

Prime factors of 8125 are 5,13. Prime factorization of 8125 in exponential form is:

8125 = 54×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8120 and 8125.

LCM(8120,8125) = 23×54×71×131×291
LCM(8120,8125) = 13195000

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125

Least Common Multiple of 8120 and 8125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8120 and 8125, than apply into the LCM equation.

GCF(8120,8125) = 5
LCM(8120,8125) = ( 8120 × 8125) / 5
LCM(8120,8125) = 65975000 / 5
LCM(8120,8125) = 13195000

Properties of LCM 8120 and 8125

(i) The LCM of 8125 and 8120 is associative

LCM of 8120 and 8125 = LCM of 8125 and 8120

Related Least Common Multiples of 8120

Related Least Common Multiples of 8125

Frequently Asked Questions on LCM of 8120 and 8125

1. What is the LCM of 8120 and 8125?

Answer: LCM of 8120 and 8125 is 13195000.

2. What are the Factors of 8120?

Answer: Factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120. There are 32 integers that are factors of 8120. The greatest factor of 8120 is 8120.

3. What are the Factors of 8125?

Answer: Factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125. There are 10 integers that are factors of 8125. The greatest factor of 8125 is 8125.

4. How to Find the LCM of 8120 and 8125?

Answer:

Least Common Multiple of 8120 and 8125 = 13195000

Step 1: Find the prime factorization of 8120

8120 = 2 x 2 x 2 x 5 x 7 x 29

Step 2: Find the prime factorization of 8125

8125 = 5 x 5 x 5 x 5 x 13

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

LCM = 13195000 = 2 x 2 x 2 x 5 x 5 x 5 x 5 x 7 x 13 x 29

Step 4: Therefore, the least common multiple of 8120 and 8125 is 13195000.