Least Common Multiple of 6436 and 6441

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 6441 the smallest integer that is 41454276 that is divisible by both numbers.

Least Common Multiple (LCM) of 6436 and 6441 is 41454276.

LCM(6436,6441) = 41454276

LCM of 6436 and 6441

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

LCM of:
and

Least Common Multiple of 6436 and 6441

LCM of 6436 and 6441 is 41454276

Least common multiple can be found by multiplying the highest exponent prime factors of 6436 and 6441. First we will calculate the prime factors of 6436 and 6441.

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 6441


3 6441
19 2147
113 113
1

Prime factors of 6441 are 3, 19,113. Prime factorization of 6441 in exponential form is:

6441 = 31×191×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6436 and 6441.

LCM(6436,6441) = 22×31×191×1131×16091
LCM(6436,6441) = 41454276

Factors of 6436

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

1, 2, 4, 1609, 3218, 6436

Factors of 6441

List of positive integer factors of 6441 that divides 6441 without a remainder.

1, 3, 19, 57, 113, 339, 2147, 6441

Least Common Multiple of 6436 and 6441 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 6441, than apply into the LCM equation.

GCF(6436,6441) = 1
LCM(6436,6441) = ( 6436 × 6441) / 1
LCM(6436,6441) = 41454276 / 1
LCM(6436,6441) = 41454276

Properties of LCM 6436 and 6441

(i) The LCM of 6441 and 6436 is associative

LCM of 6436 and 6441 = LCM of 6441 and 6436

Related Least Common Multiples of 6436

Related Least Common Multiples of 6441

Frequently Asked Questions on LCM of 6436 and 6441

1. What is the LCM of 6436 and 6441?

Answer: LCM of 6436 and 6441 is 41454276.

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 6441?

Answer: Factors of 6441 are 1, 3, 19, 57, 113, 339, 2147, 6441. There are 8 integers that are factors of 6441. The greatest factor of 6441 is 6441.

4. How to Find the LCM of 6436 and 6441?

Answer:

Least Common Multiple of 6436 and 6441 = 41454276

Step 1: Find the prime factorization of 6436

6436 = 2 x 2 x 1609

Step 2: Find the prime factorization of 6441

6441 = 3 x 19 x 113

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

LCM = 41454276 = 2 x 2 x 3 x 19 x 113 x 1609

Step 4: Therefore, the least common multiple of 6436 and 6441 is 41454276.