Least Common Multiple of 9024 and 9025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9024 and 9025 the smallest integer that is 81441600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9024 and 9025 is 81441600.

LCM(9024,9025) = 81441600

LCM of 9024 and 9025

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

LCM of:
and

Least Common Multiple of 9024 and 9025

LCM of 9024 and 9025 is 81441600

Least common multiple can be found by multiplying the highest exponent prime factors of 9024 and 9025. First we will calculate the prime factors of 9024 and 9025.

Prime Factorization of 9024


2 9024
2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 9024 are 2, 3,47. Prime factorization of 9024 in exponential form is:

9024 = 26×31×471

Prime Factorization of 9025


5 9025
5 1805
19 361
19 19
1

Prime factors of 9025 are 5,19. Prime factorization of 9025 in exponential form is:

9025 = 52×192

Now multiplying the highest exponent prime factors to calculate the LCM of 9024 and 9025.

LCM(9024,9025) = 26×31×52×192×471
LCM(9024,9025) = 81441600

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024

Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1, 5, 19, 25, 95, 361, 475, 1805, 9025

Least Common Multiple of 9024 and 9025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9024 and 9025, than apply into the LCM equation.

GCF(9024,9025) = 1
LCM(9024,9025) = ( 9024 × 9025) / 1
LCM(9024,9025) = 81441600 / 1
LCM(9024,9025) = 81441600

Properties of LCM 9024 and 9025

(i) The LCM of 9025 and 9024 is associative

LCM of 9024 and 9025 = LCM of 9025 and 9024

Related Least Common Multiples of 9024

Related Least Common Multiples of 9025

Frequently Asked Questions on LCM of 9024 and 9025

1. What is the LCM of 9024 and 9025?

Answer: LCM of 9024 and 9025 is 81441600.

2. What are the Factors of 9024?

Answer: Factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024. There are 28 integers that are factors of 9024. The greatest factor of 9024 is 9024.

3. What are the Factors of 9025?

Answer: Factors of 9025 are 1, 5, 19, 25, 95, 361, 475, 1805, 9025. There are 9 integers that are factors of 9025. The greatest factor of 9025 is 9025.

4. How to Find the LCM of 9024 and 9025?

Answer:

Least Common Multiple of 9024 and 9025 = 81441600

Step 1: Find the prime factorization of 9024

9024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

Step 2: Find the prime factorization of 9025

9025 = 5 x 5 x 19 x 19

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

LCM = 81441600 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 19 x 19 x 47

Step 4: Therefore, the least common multiple of 9024 and 9025 is 81441600.