Least Common Multiple of 8025 and 8031

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 8031 the smallest integer that is 21482925 that is divisible by both numbers.

Least Common Multiple (LCM) of 8025 and 8031 is 21482925.

LCM(8025,8031) = 21482925

LCM of 8025 and 8031

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

LCM of:
and

Least Common Multiple of 8025 and 8031

LCM of 8025 and 8031 is 21482925

Least common multiple can be found by multiplying the highest exponent prime factors of 8025 and 8031. First we will calculate the prime factors of 8025 and 8031.

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 8031


3 8031
2677 2677
1

Prime factors of 8031 are 3,2677. Prime factorization of 8031 in exponential form is:

8031 = 31×26771

Now multiplying the highest exponent prime factors to calculate the LCM of 8025 and 8031.

LCM(8025,8031) = 31×52×1071×26771
LCM(8025,8031) = 21482925

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 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1, 3, 2677, 8031

Least Common Multiple of 8025 and 8031 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 8031, than apply into the LCM equation.

GCF(8025,8031) = 3
LCM(8025,8031) = ( 8025 × 8031) / 3
LCM(8025,8031) = 64448775 / 3
LCM(8025,8031) = 21482925

Properties of LCM 8025 and 8031

(i) The LCM of 8031 and 8025 is associative

LCM of 8025 and 8031 = LCM of 8031 and 8025

Related Least Common Multiples of 8025

Related Least Common Multiples of 8031

Frequently Asked Questions on LCM of 8025 and 8031

1. What is the LCM of 8025 and 8031?

Answer: LCM of 8025 and 8031 is 21482925.

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 8031?

Answer: Factors of 8031 are 1, 3, 2677, 8031. There are 4 integers that are factors of 8031. The greatest factor of 8031 is 8031.

4. How to Find the LCM of 8025 and 8031?

Answer:

Least Common Multiple of 8025 and 8031 = 21482925

Step 1: Find the prime factorization of 8025

8025 = 3 x 5 x 5 x 107

Step 2: Find the prime factorization of 8031

8031 = 3 x 2677

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

LCM = 21482925 = 3 x 5 x 5 x 107 x 2677

Step 4: Therefore, the least common multiple of 8025 and 8031 is 21482925.