Least Common Multiple of 2432 and 2436

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 2436 the smallest integer that is 1481088 that is divisible by both numbers.

Least Common Multiple (LCM) of 2432 and 2436 is 1481088.

LCM(2432,2436) = 1481088

LCM of 2432 and 2436

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

LCM of:
and

Least Common Multiple of 2432 and 2436

LCM of 2432 and 2436 is 1481088

Least common multiple can be found by multiplying the highest exponent prime factors of 2432 and 2436. First we will calculate the prime factors of 2432 and 2436.

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 2436


2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 2436 are 2, 3, 7,29. Prime factorization of 2436 in exponential form is:

2436 = 22×31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2432 and 2436.

LCM(2432,2436) = 27×31×71×191×291
LCM(2432,2436) = 1481088

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 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436

Least Common Multiple of 2432 and 2436 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 2436, than apply into the LCM equation.

GCF(2432,2436) = 4
LCM(2432,2436) = ( 2432 × 2436) / 4
LCM(2432,2436) = 5924352 / 4
LCM(2432,2436) = 1481088

Properties of LCM 2432 and 2436

(i) The LCM of 2436 and 2432 is associative

LCM of 2432 and 2436 = LCM of 2436 and 2432

Related Least Common Multiples of 2432

Related Least Common Multiples of 2436

Frequently Asked Questions on LCM of 2432 and 2436

1. What is the LCM of 2432 and 2436?

Answer: LCM of 2432 and 2436 is 1481088.

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 2436?

Answer: Factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436. There are 24 integers that are factors of 2436. The greatest factor of 2436 is 2436.

4. How to Find the LCM of 2432 and 2436?

Answer:

Least Common Multiple of 2432 and 2436 = 1481088

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 2436

2436 = 2 x 2 x 3 x 7 x 29

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

LCM = 1481088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 2432 and 2436 is 1481088.