Least Common Multiple of 8020 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 8020 and 8025 the smallest integer that is 12872100 that is divisible by both numbers.

Least Common Multiple (LCM) of 8020 and 8025 is 12872100.

LCM(8020,8025) = 12872100

LCM of 8020 and 8025

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

LCM of:
and

Least Common Multiple of 8020 and 8025

LCM of 8020 and 8025 is 12872100

Least common multiple can be found by multiplying the highest exponent prime factors of 8020 and 8025. First we will calculate the prime factors of 8020 and 8025.

Prime Factorization of 8020


2 8020
2 4010
5 2005
401 401
1

Prime factors of 8020 are 2, 5,401. Prime factorization of 8020 in exponential form is:

8020 = 22×51×4011

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 8020 and 8025.

LCM(8020,8025) = 22×31×52×1071×4011
LCM(8020,8025) = 12872100

Factors of 8020

List of positive integer factors of 8020 that divides 8020 without a remainder.

1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020

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 8020 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 8020 and 8025, than apply into the LCM equation.

GCF(8020,8025) = 5
LCM(8020,8025) = ( 8020 × 8025) / 5
LCM(8020,8025) = 64360500 / 5
LCM(8020,8025) = 12872100

Properties of LCM 8020 and 8025

(i) The LCM of 8025 and 8020 is associative

LCM of 8020 and 8025 = LCM of 8025 and 8020

Related Least Common Multiples of 8020

Related Least Common Multiples of 8025

Frequently Asked Questions on LCM of 8020 and 8025

1. What is the LCM of 8020 and 8025?

Answer: LCM of 8020 and 8025 is 12872100.

2. What are the Factors of 8020?

Answer: Factors of 8020 are 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020. There are 12 integers that are factors of 8020. The greatest factor of 8020 is 8020.

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 8020 and 8025?

Answer:

Least Common Multiple of 8020 and 8025 = 12872100

Step 1: Find the prime factorization of 8020

8020 = 2 x 2 x 5 x 401

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 = 12872100 = 2 x 2 x 3 x 5 x 5 x 107 x 401

Step 4: Therefore, the least common multiple of 8020 and 8025 is 12872100.