Least Common Multiple of 8017 and 8025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8017 and 8025 the smallest integer that is 64336425 that is divisible by both numbers.

Least Common Multiple (LCM) of 8017 and 8025 is 64336425.

LCM(8017,8025) = 64336425

LCM of 8017 and 8025

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

LCM of:
and

Least Common Multiple of 8017 and 8025

LCM of 8017 and 8025 is 64336425

Least common multiple can be found by multiplying the highest exponent prime factors of 8017 and 8025. First we will calculate the prime factors of 8017 and 8025.

Prime Factorization of 8017


8017 8017
1

Prime factors of 8017 are 8017. Prime factorization of 8017 in exponential form is:

8017 = 80171

Prime Factorization of 8025


3 8025
5 2675
5 535
107 107
1

Prime factors of 8025 are 3, 5,107. Prime factorization of 8025 in exponential form is:

8025 = 31×52×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8017 and 8025.

LCM(8017,8025) = 31×52×1071×80171
LCM(8017,8025) = 64336425

Factors of 8017

List of positive integer factors of 8017 that divides 8017 without a remainder.

1, 8017

Factors of 8025

List of positive integer factors of 8025 that divides 8025 without a remainder.

1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025

Least Common Multiple of 8017 and 8025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8017 and 8025, than apply into the LCM equation.

GCF(8017,8025) = 1
LCM(8017,8025) = ( 8017 × 8025) / 1
LCM(8017,8025) = 64336425 / 1
LCM(8017,8025) = 64336425

Properties of LCM 8017 and 8025

(i) The LCM of 8025 and 8017 is associative

LCM of 8017 and 8025 = LCM of 8025 and 8017

Related Least Common Multiples of 8017

Related Least Common Multiples of 8025

Frequently Asked Questions on LCM of 8017 and 8025

1. What is the LCM of 8017 and 8025?

Answer: LCM of 8017 and 8025 is 64336425.

2. What are the Factors of 8017?

Answer: Factors of 8017 are 1, 8017. There are 2 integers that are factors of 8017. The greatest factor of 8017 is 8017.

3. What are the Factors of 8025?

Answer: Factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025. There are 12 integers that are factors of 8025. The greatest factor of 8025 is 8025.

4. How to Find the LCM of 8017 and 8025?

Answer:

Least Common Multiple of 8017 and 8025 = 64336425

Step 1: Find the prime factorization of 8017

8017 = 8017

Step 2: Find the prime factorization of 8025

8025 = 3 x 5 x 5 x 107

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

LCM = 64336425 = 3 x 5 x 5 x 107 x 8017

Step 4: Therefore, the least common multiple of 8017 and 8025 is 64336425.