Least Common Multiple of 8025 and 8029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8025 and 8029 the smallest integer that is 64432725 that is divisible by both numbers.

Least Common Multiple (LCM) of 8025 and 8029 is 64432725.

LCM(8025,8029) = 64432725

LCM of 8025 and 8029

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

LCM of:
and

Least Common Multiple of 8025 and 8029

LCM of 8025 and 8029 is 64432725

Least common multiple can be found by multiplying the highest exponent prime factors of 8025 and 8029. First we will calculate the prime factors of 8025 and 8029.

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

Prime Factorization of 8029


7 8029
31 1147
37 37
1

Prime factors of 8029 are 7, 31,37. Prime factorization of 8029 in exponential form is:

8029 = 71×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8025 and 8029.

LCM(8025,8029) = 31×52×71×311×371×1071
LCM(8025,8029) = 64432725

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

Factors of 8029

List of positive integer factors of 8029 that divides 8029 without a remainder.

1, 7, 31, 37, 217, 259, 1147, 8029

Least Common Multiple of 8025 and 8029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8025 and 8029, than apply into the LCM equation.

GCF(8025,8029) = 1
LCM(8025,8029) = ( 8025 × 8029) / 1
LCM(8025,8029) = 64432725 / 1
LCM(8025,8029) = 64432725

Properties of LCM 8025 and 8029

(i) The LCM of 8029 and 8025 is associative

LCM of 8025 and 8029 = LCM of 8029 and 8025

Related Least Common Multiples of 8025

Related Least Common Multiples of 8029

Frequently Asked Questions on LCM of 8025 and 8029

1. What is the LCM of 8025 and 8029?

Answer: LCM of 8025 and 8029 is 64432725.

2. 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.

3. What are the Factors of 8029?

Answer: Factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029. There are 8 integers that are factors of 8029. The greatest factor of 8029 is 8029.

4. How to Find the LCM of 8025 and 8029?

Answer:

Least Common Multiple of 8025 and 8029 = 64432725

Step 1: Find the prime factorization of 8025

8025 = 3 x 5 x 5 x 107

Step 2: Find the prime factorization of 8029

8029 = 7 x 31 x 37

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

LCM = 64432725 = 3 x 5 x 5 x 7 x 31 x 37 x 107

Step 4: Therefore, the least common multiple of 8025 and 8029 is 64432725.