Least Common Multiple of 2432 and 2439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2432 and 2439 the smallest integer that is 5931648 that is divisible by both numbers.

Least Common Multiple (LCM) of 2432 and 2439 is 5931648.

LCM(2432,2439) = 5931648

LCM of 2432 and 2439

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

LCM of:
and

Least Common Multiple of 2432 and 2439

LCM of 2432 and 2439 is 5931648

Least common multiple can be found by multiplying the highest exponent prime factors of 2432 and 2439. First we will calculate the prime factors of 2432 and 2439.

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

Prime Factorization of 2439


3 2439
3 813
271 271
1

Prime factors of 2439 are 3,271. Prime factorization of 2439 in exponential form is:

2439 = 32×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2432 and 2439.

LCM(2432,2439) = 27×32×191×2711
LCM(2432,2439) = 5931648

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

Factors of 2439

List of positive integer factors of 2439 that divides 2439 without a remainder.

1, 3, 9, 271, 813, 2439

Least Common Multiple of 2432 and 2439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2432 and 2439, than apply into the LCM equation.

GCF(2432,2439) = 1
LCM(2432,2439) = ( 2432 × 2439) / 1
LCM(2432,2439) = 5931648 / 1
LCM(2432,2439) = 5931648

Properties of LCM 2432 and 2439

(i) The LCM of 2439 and 2432 is associative

LCM of 2432 and 2439 = LCM of 2439 and 2432

Related Least Common Multiples of 2432

Related Least Common Multiples of 2439

Frequently Asked Questions on LCM of 2432 and 2439

1. What is the LCM of 2432 and 2439?

Answer: LCM of 2432 and 2439 is 5931648.

2. 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.

3. What are the Factors of 2439?

Answer: Factors of 2439 are 1, 3, 9, 271, 813, 2439. There are 6 integers that are factors of 2439. The greatest factor of 2439 is 2439.

4. How to Find the LCM of 2432 and 2439?

Answer:

Least Common Multiple of 2432 and 2439 = 5931648

Step 1: Find the prime factorization of 2432

2432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 2439

2439 = 3 x 3 x 271

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

LCM = 5931648 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 271

Step 4: Therefore, the least common multiple of 2432 and 2439 is 5931648.