Least Common Multiple of 3025 and 3032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3025 and 3032 the smallest integer that is 9171800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3025 and 3032 is 9171800.

LCM(3025,3032) = 9171800

LCM of 3025 and 3032

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

LCM of:
and

Least Common Multiple of 3025 and 3032

LCM of 3025 and 3032 is 9171800

Least common multiple can be found by multiplying the highest exponent prime factors of 3025 and 3032. First we will calculate the prime factors of 3025 and 3032.

Prime Factorization of 3025


5 3025
5 605
11 121
11 11
1

Prime factors of 3025 are 5,11. Prime factorization of 3025 in exponential form is:

3025 = 52×112

Prime Factorization of 3032


2 3032
2 1516
2 758
379 379
1

Prime factors of 3032 are 2,379. Prime factorization of 3032 in exponential form is:

3032 = 23×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 3025 and 3032.

LCM(3025,3032) = 23×52×112×3791
LCM(3025,3032) = 9171800

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1, 5, 11, 25, 55, 121, 275, 605, 3025

Factors of 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1, 2, 4, 8, 379, 758, 1516, 3032

Least Common Multiple of 3025 and 3032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3025 and 3032, than apply into the LCM equation.

GCF(3025,3032) = 1
LCM(3025,3032) = ( 3025 × 3032) / 1
LCM(3025,3032) = 9171800 / 1
LCM(3025,3032) = 9171800

Properties of LCM 3025 and 3032

(i) The LCM of 3032 and 3025 is associative

LCM of 3025 and 3032 = LCM of 3032 and 3025

Related Least Common Multiples of 3025

Related Least Common Multiples of 3032

Frequently Asked Questions on LCM of 3025 and 3032

1. What is the LCM of 3025 and 3032?

Answer: LCM of 3025 and 3032 is 9171800.

2. What are the Factors of 3025?

Answer: Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. There are 9 integers that are factors of 3025. The greatest factor of 3025 is 3025.

3. What are the Factors of 3032?

Answer: Factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032. There are 8 integers that are factors of 3032. The greatest factor of 3032 is 3032.

4. How to Find the LCM of 3025 and 3032?

Answer:

Least Common Multiple of 3025 and 3032 = 9171800

Step 1: Find the prime factorization of 3025

3025 = 5 x 5 x 11 x 11

Step 2: Find the prime factorization of 3032

3032 = 2 x 2 x 2 x 379

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

LCM = 9171800 = 2 x 2 x 2 x 5 x 5 x 11 x 11 x 379

Step 4: Therefore, the least common multiple of 3025 and 3032 is 9171800.