Least Common Multiple of 6024 and 6025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6024 and 6025 the smallest integer that is 36294600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6024 and 6025 is 36294600.

LCM(6024,6025) = 36294600

LCM of 6024 and 6025

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

LCM of:
and

Least Common Multiple of 6024 and 6025

LCM of 6024 and 6025 is 36294600

Least common multiple can be found by multiplying the highest exponent prime factors of 6024 and 6025. First we will calculate the prime factors of 6024 and 6025.

Prime Factorization of 6024


2 6024
2 3012
2 1506
3 753
251 251
1

Prime factors of 6024 are 2, 3,251. Prime factorization of 6024 in exponential form is:

6024 = 23×31×2511

Prime Factorization of 6025


5 6025
5 1205
241 241
1

Prime factors of 6025 are 5,241. Prime factorization of 6025 in exponential form is:

6025 = 52×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6024 and 6025.

LCM(6024,6025) = 23×31×52×2411×2511
LCM(6024,6025) = 36294600

Factors of 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024

Factors of 6025

List of positive integer factors of 6025 that divides 6025 without a remainder.

1, 5, 25, 241, 1205, 6025

Least Common Multiple of 6024 and 6025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6024 and 6025, than apply into the LCM equation.

GCF(6024,6025) = 1
LCM(6024,6025) = ( 6024 × 6025) / 1
LCM(6024,6025) = 36294600 / 1
LCM(6024,6025) = 36294600

Properties of LCM 6024 and 6025

(i) The LCM of 6025 and 6024 is associative

LCM of 6024 and 6025 = LCM of 6025 and 6024

Related Least Common Multiples of 6024

Related Least Common Multiples of 6025

Frequently Asked Questions on LCM of 6024 and 6025

1. What is the LCM of 6024 and 6025?

Answer: LCM of 6024 and 6025 is 36294600.

2. What are the Factors of 6024?

Answer: Factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024. There are 16 integers that are factors of 6024. The greatest factor of 6024 is 6024.

3. What are the Factors of 6025?

Answer: Factors of 6025 are 1, 5, 25, 241, 1205, 6025. There are 6 integers that are factors of 6025. The greatest factor of 6025 is 6025.

4. How to Find the LCM of 6024 and 6025?

Answer:

Least Common Multiple of 6024 and 6025 = 36294600

Step 1: Find the prime factorization of 6024

6024 = 2 x 2 x 2 x 3 x 251

Step 2: Find the prime factorization of 6025

6025 = 5 x 5 x 241

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

LCM = 36294600 = 2 x 2 x 2 x 3 x 5 x 5 x 241 x 251

Step 4: Therefore, the least common multiple of 6024 and 6025 is 36294600.