Least Common Multiple of 10432 and 10436

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 10436 the smallest integer that is 27217088 that is divisible by both numbers.

Least Common Multiple (LCM) of 10432 and 10436 is 27217088.

LCM(10432,10436) = 27217088

LCM of 10432 and 10436

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

LCM of:
and

Least Common Multiple of 10432 and 10436

LCM of 10432 and 10436 is 27217088

Least common multiple can be found by multiplying the highest exponent prime factors of 10432 and 10436. First we will calculate the prime factors of 10432 and 10436.

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 10436


2 10436
2 5218
2609 2609
1

Prime factors of 10436 are 2,2609. Prime factorization of 10436 in exponential form is:

10436 = 22×26091

Now multiplying the highest exponent prime factors to calculate the LCM of 10432 and 10436.

LCM(10432,10436) = 26×1631×26091
LCM(10432,10436) = 27217088

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 10436

List of positive integer factors of 10436 that divides 10436 without a remainder.

1, 2, 4, 2609, 5218, 10436

Least Common Multiple of 10432 and 10436 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 10436, than apply into the LCM equation.

GCF(10432,10436) = 4
LCM(10432,10436) = ( 10432 × 10436) / 4
LCM(10432,10436) = 108868352 / 4
LCM(10432,10436) = 27217088

Properties of LCM 10432 and 10436

(i) The LCM of 10436 and 10432 is associative

LCM of 10432 and 10436 = LCM of 10436 and 10432

Related Least Common Multiples of 10432

Related Least Common Multiples of 10436

Frequently Asked Questions on LCM of 10432 and 10436

1. What is the LCM of 10432 and 10436?

Answer: LCM of 10432 and 10436 is 27217088.

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 10436?

Answer: Factors of 10436 are 1, 2, 4, 2609, 5218, 10436. There are 6 integers that are factors of 10436. The greatest factor of 10436 is 10436.

4. How to Find the LCM of 10432 and 10436?

Answer:

Least Common Multiple of 10432 and 10436 = 27217088

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 10436

10436 = 2 x 2 x 2609

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

LCM = 27217088 = 2 x 2 x 2 x 2 x 2 x 2 x 163 x 2609

Step 4: Therefore, the least common multiple of 10432 and 10436 is 27217088.