Least Common Multiple of 8117 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 8117 and 8125 the smallest integer that is 65950625 that is divisible by both numbers.

Least Common Multiple (LCM) of 8117 and 8125 is 65950625.

LCM(8117,8125) = 65950625

LCM of 8117 and 8125

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

LCM of:
and

Least Common Multiple of 8117 and 8125

LCM of 8117 and 8125 is 65950625

Least common multiple can be found by multiplying the highest exponent prime factors of 8117 and 8125. First we will calculate the prime factors of 8117 and 8125.

Prime Factorization of 8117


8117 8117
1

Prime factors of 8117 are 8117. Prime factorization of 8117 in exponential form is:

8117 = 81171

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 8117 and 8125.

LCM(8117,8125) = 54×131×81171
LCM(8117,8125) = 65950625

Factors of 8117

List of positive integer factors of 8117 that divides 8117 without a remainder.

1, 8117

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 8117 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 8117 and 8125, than apply into the LCM equation.

GCF(8117,8125) = 1
LCM(8117,8125) = ( 8117 × 8125) / 1
LCM(8117,8125) = 65950625 / 1
LCM(8117,8125) = 65950625

Properties of LCM 8117 and 8125

(i) The LCM of 8125 and 8117 is associative

LCM of 8117 and 8125 = LCM of 8125 and 8117

Related Least Common Multiples of 8117

Related Least Common Multiples of 8125

Frequently Asked Questions on LCM of 8117 and 8125

1. What is the LCM of 8117 and 8125?

Answer: LCM of 8117 and 8125 is 65950625.

2. What are the Factors of 8117?

Answer: Factors of 8117 are 1, 8117. There are 2 integers that are factors of 8117. The greatest factor of 8117 is 8117.

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 8117 and 8125?

Answer:

Least Common Multiple of 8117 and 8125 = 65950625

Step 1: Find the prime factorization of 8117

8117 = 8117

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 = 65950625 = 5 x 5 x 5 x 5 x 13 x 8117

Step 4: Therefore, the least common multiple of 8117 and 8125 is 65950625.