Least Common Multiple of 8024 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 8024 and 8025 the smallest integer that is 64392600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8024 and 8025 is 64392600.

LCM(8024,8025) = 64392600

LCM of 8024 and 8025

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

LCM of:
and

Least Common Multiple of 8024 and 8025

LCM of 8024 and 8025 is 64392600

Least common multiple can be found by multiplying the highest exponent prime factors of 8024 and 8025. First we will calculate the prime factors of 8024 and 8025.

Prime Factorization of 8024


2 8024
2 4012
2 2006
17 1003
59 59
1

Prime factors of 8024 are 2, 17,59. Prime factorization of 8024 in exponential form is:

8024 = 23×171×591

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 8024 and 8025.

LCM(8024,8025) = 23×31×52×171×591×1071
LCM(8024,8025) = 64392600

Factors of 8024

List of positive integer factors of 8024 that divides 8024 without a remainder.

1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024

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 8024 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 8024 and 8025, than apply into the LCM equation.

GCF(8024,8025) = 1
LCM(8024,8025) = ( 8024 × 8025) / 1
LCM(8024,8025) = 64392600 / 1
LCM(8024,8025) = 64392600

Properties of LCM 8024 and 8025

(i) The LCM of 8025 and 8024 is associative

LCM of 8024 and 8025 = LCM of 8025 and 8024

Related Least Common Multiples of 8024

Related Least Common Multiples of 8025

Frequently Asked Questions on LCM of 8024 and 8025

1. What is the LCM of 8024 and 8025?

Answer: LCM of 8024 and 8025 is 64392600.

2. What are the Factors of 8024?

Answer: Factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024. There are 16 integers that are factors of 8024. The greatest factor of 8024 is 8024.

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 8024 and 8025?

Answer:

Least Common Multiple of 8024 and 8025 = 64392600

Step 1: Find the prime factorization of 8024

8024 = 2 x 2 x 2 x 17 x 59

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 = 64392600 = 2 x 2 x 2 x 3 x 5 x 5 x 17 x 59 x 107

Step 4: Therefore, the least common multiple of 8024 and 8025 is 64392600.