Least Common Multiple of 10432 and 10440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10432 and 10440 the smallest integer that is 13613760 that is divisible by both numbers.

Least Common Multiple (LCM) of 10432 and 10440 is 13613760.

LCM(10432,10440) = 13613760

LCM of 10432 and 10440

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

LCM of:
and

Least Common Multiple of 10432 and 10440

LCM of 10432 and 10440 is 13613760

Least common multiple can be found by multiplying the highest exponent prime factors of 10432 and 10440. First we will calculate the prime factors of 10432 and 10440.

Prime Factorization of 10432


2 10432
2 5216
2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 10432 are 2,163. Prime factorization of 10432 in exponential form is:

10432 = 26×1631

Prime Factorization of 10440


2 10440
2 5220
2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 10440 are 2, 3, 5,29. Prime factorization of 10440 in exponential form is:

10440 = 23×32×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 10432 and 10440.

LCM(10432,10440) = 26×32×51×291×1631
LCM(10432,10440) = 13613760

Factors of 10432

List of positive integer factors of 10432 that divides 10432 without a remainder.

1, 2, 4, 8, 16, 32, 64, 163, 326, 652, 1304, 2608, 5216, 10432

Factors of 10440

List of positive integer factors of 10440 that divides 10440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 29, 30, 36, 40, 45, 58, 60, 72, 87, 90, 116, 120, 145, 174, 180, 232, 261, 290, 348, 360, 435, 522, 580, 696, 870, 1044, 1160, 1305, 1740, 2088, 2610, 3480, 5220, 10440

Least Common Multiple of 10432 and 10440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10432 and 10440, than apply into the LCM equation.

GCF(10432,10440) = 8
LCM(10432,10440) = ( 10432 × 10440) / 8
LCM(10432,10440) = 108910080 / 8
LCM(10432,10440) = 13613760

Properties of LCM 10432 and 10440

(i) The LCM of 10440 and 10432 is associative

LCM of 10432 and 10440 = LCM of 10440 and 10432

Related Least Common Multiples of 10432

Related Least Common Multiples of 10440

Frequently Asked Questions on LCM of 10432 and 10440

1. What is the LCM of 10432 and 10440?

Answer: LCM of 10432 and 10440 is 13613760.

2. What are the Factors of 10432?

Answer: Factors of 10432 are 1, 2, 4, 8, 16, 32, 64, 163, 326, 652, 1304, 2608, 5216, 10432. There are 14 integers that are factors of 10432. The greatest factor of 10432 is 10432.

3. What are the Factors of 10440?

Answer: Factors of 10440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 29, 30, 36, 40, 45, 58, 60, 72, 87, 90, 116, 120, 145, 174, 180, 232, 261, 290, 348, 360, 435, 522, 580, 696, 870, 1044, 1160, 1305, 1740, 2088, 2610, 3480, 5220, 10440. There are 48 integers that are factors of 10440. The greatest factor of 10440 is 10440.

4. How to Find the LCM of 10432 and 10440?

Answer:

Least Common Multiple of 10432 and 10440 = 13613760

Step 1: Find the prime factorization of 10432

10432 = 2 x 2 x 2 x 2 x 2 x 2 x 163

Step 2: Find the prime factorization of 10440

10440 = 2 x 2 x 2 x 3 x 3 x 5 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 = 13613760 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 29 x 163

Step 4: Therefore, the least common multiple of 10432 and 10440 is 13613760.