Least Common Multiple of 2425 and 2432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2425 and 2432 the smallest integer that is 5897600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2425 and 2432 is 5897600.

LCM(2425,2432) = 5897600

LCM of 2425 and 2432

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

LCM of:
and

Least Common Multiple of 2425 and 2432

LCM of 2425 and 2432 is 5897600

Least common multiple can be found by multiplying the highest exponent prime factors of 2425 and 2432. First we will calculate the prime factors of 2425 and 2432.

Prime Factorization of 2425


5 2425
5 485
97 97
1

Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:

2425 = 52×971

Prime Factorization of 2432


2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 2432 are 2,19. Prime factorization of 2432 in exponential form is:

2432 = 27×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2425 and 2432.

LCM(2425,2432) = 27×52×191×971
LCM(2425,2432) = 5897600

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1, 5, 25, 97, 485, 2425

Factors of 2432

List of positive integer factors of 2432 that divides 2432 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432

Least Common Multiple of 2425 and 2432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2425 and 2432, than apply into the LCM equation.

GCF(2425,2432) = 1
LCM(2425,2432) = ( 2425 × 2432) / 1
LCM(2425,2432) = 5897600 / 1
LCM(2425,2432) = 5897600

Properties of LCM 2425 and 2432

(i) The LCM of 2432 and 2425 is associative

LCM of 2425 and 2432 = LCM of 2432 and 2425

Related Least Common Multiples of 2425

Related Least Common Multiples of 2432

Frequently Asked Questions on LCM of 2425 and 2432

1. What is the LCM of 2425 and 2432?

Answer: LCM of 2425 and 2432 is 5897600.

2. What are the Factors of 2425?

Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.

3. What are the Factors of 2432?

Answer: Factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432. There are 16 integers that are factors of 2432. The greatest factor of 2432 is 2432.

4. How to Find the LCM of 2425 and 2432?

Answer:

Least Common Multiple of 2425 and 2432 = 5897600

Step 1: Find the prime factorization of 2425

2425 = 5 x 5 x 97

Step 2: Find the prime factorization of 2432

2432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 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 = 5897600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 19 x 97

Step 4: Therefore, the least common multiple of 2425 and 2432 is 5897600.