Least Common Multiple of 2432 and 2440

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 2440 the smallest integer that is 741760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2432 and 2440 is 741760.

LCM(2432,2440) = 741760

LCM of 2432 and 2440

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

LCM of:
and

Least Common Multiple of 2432 and 2440

LCM of 2432 and 2440 is 741760

Least common multiple can be found by multiplying the highest exponent prime factors of 2432 and 2440. First we will calculate the prime factors of 2432 and 2440.

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 2440


2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 2440 are 2, 5,61. Prime factorization of 2440 in exponential form is:

2440 = 23×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2432 and 2440.

LCM(2432,2440) = 27×51×191×611
LCM(2432,2440) = 741760

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 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440

Least Common Multiple of 2432 and 2440 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 2440, than apply into the LCM equation.

GCF(2432,2440) = 8
LCM(2432,2440) = ( 2432 × 2440) / 8
LCM(2432,2440) = 5934080 / 8
LCM(2432,2440) = 741760

Properties of LCM 2432 and 2440

(i) The LCM of 2440 and 2432 is associative

LCM of 2432 and 2440 = LCM of 2440 and 2432

Related Least Common Multiples of 2432

Related Least Common Multiples of 2440

Frequently Asked Questions on LCM of 2432 and 2440

1. What is the LCM of 2432 and 2440?

Answer: LCM of 2432 and 2440 is 741760.

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 2440?

Answer: Factors of 2440 are 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440. There are 16 integers that are factors of 2440. The greatest factor of 2440 is 2440.

4. How to Find the LCM of 2432 and 2440?

Answer:

Least Common Multiple of 2432 and 2440 = 741760

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 2440

2440 = 2 x 2 x 2 x 5 x 61

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

LCM = 741760 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 61

Step 4: Therefore, the least common multiple of 2432 and 2440 is 741760.