Least Common Multiple of 6436 and 6443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6436 and 6443 the smallest integer that is 41467148 that is divisible by both numbers.

Least Common Multiple (LCM) of 6436 and 6443 is 41467148.

LCM(6436,6443) = 41467148

LCM of 6436 and 6443

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

LCM of:
and

Least Common Multiple of 6436 and 6443

LCM of 6436 and 6443 is 41467148

Least common multiple can be found by multiplying the highest exponent prime factors of 6436 and 6443. First we will calculate the prime factors of 6436 and 6443.

Prime Factorization of 6436


2 6436
2 3218
1609 1609
1

Prime factors of 6436 are 2,1609. Prime factorization of 6436 in exponential form is:

6436 = 22×16091

Prime Factorization of 6443


17 6443
379 379
1

Prime factors of 6443 are 17,379. Prime factorization of 6443 in exponential form is:

6443 = 171×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 6436 and 6443.

LCM(6436,6443) = 22×171×3791×16091
LCM(6436,6443) = 41467148

Factors of 6436

List of positive integer factors of 6436 that divides 6436 without a remainder.

1, 2, 4, 1609, 3218, 6436

Factors of 6443

List of positive integer factors of 6443 that divides 6443 without a remainder.

1, 17, 379, 6443

Least Common Multiple of 6436 and 6443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6436 and 6443, than apply into the LCM equation.

GCF(6436,6443) = 1
LCM(6436,6443) = ( 6436 × 6443) / 1
LCM(6436,6443) = 41467148 / 1
LCM(6436,6443) = 41467148

Properties of LCM 6436 and 6443

(i) The LCM of 6443 and 6436 is associative

LCM of 6436 and 6443 = LCM of 6443 and 6436

Related Least Common Multiples of 6436

Related Least Common Multiples of 6443

Frequently Asked Questions on LCM of 6436 and 6443

1. What is the LCM of 6436 and 6443?

Answer: LCM of 6436 and 6443 is 41467148.

2. What are the Factors of 6436?

Answer: Factors of 6436 are 1, 2, 4, 1609, 3218, 6436. There are 6 integers that are factors of 6436. The greatest factor of 6436 is 6436.

3. What are the Factors of 6443?

Answer: Factors of 6443 are 1, 17, 379, 6443. There are 4 integers that are factors of 6443. The greatest factor of 6443 is 6443.

4. How to Find the LCM of 6436 and 6443?

Answer:

Least Common Multiple of 6436 and 6443 = 41467148

Step 1: Find the prime factorization of 6436

6436 = 2 x 2 x 1609

Step 2: Find the prime factorization of 6443

6443 = 17 x 379

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

LCM = 41467148 = 2 x 2 x 17 x 379 x 1609

Step 4: Therefore, the least common multiple of 6436 and 6443 is 41467148.