Least Common Multiple of 6443 and 6447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6443 and 6447 the smallest integer that is 41538021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6443 and 6447 is 41538021.

LCM(6443,6447) = 41538021

LCM of 6443 and 6447

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

LCM of:
and

Least Common Multiple of 6443 and 6447

LCM of 6443 and 6447 is 41538021

Least common multiple can be found by multiplying the highest exponent prime factors of 6443 and 6447. First we will calculate the prime factors of 6443 and 6447.

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

Prime Factorization of 6447


3 6447
7 2149
307 307
1

Prime factors of 6447 are 3, 7,307. Prime factorization of 6447 in exponential form is:

6447 = 31×71×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 6443 and 6447.

LCM(6443,6447) = 31×71×171×3071×3791
LCM(6443,6447) = 41538021

Factors of 6443

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

1, 17, 379, 6443

Factors of 6447

List of positive integer factors of 6447 that divides 6447 without a remainder.

1, 3, 7, 21, 307, 921, 2149, 6447

Least Common Multiple of 6443 and 6447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6443 and 6447, than apply into the LCM equation.

GCF(6443,6447) = 1
LCM(6443,6447) = ( 6443 × 6447) / 1
LCM(6443,6447) = 41538021 / 1
LCM(6443,6447) = 41538021

Properties of LCM 6443 and 6447

(i) The LCM of 6447 and 6443 is associative

LCM of 6443 and 6447 = LCM of 6447 and 6443

Related Least Common Multiples of 6443

Related Least Common Multiples of 6447

Frequently Asked Questions on LCM of 6443 and 6447

1. What is the LCM of 6443 and 6447?

Answer: LCM of 6443 and 6447 is 41538021.

2. 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.

3. What are the Factors of 6447?

Answer: Factors of 6447 are 1, 3, 7, 21, 307, 921, 2149, 6447. There are 8 integers that are factors of 6447. The greatest factor of 6447 is 6447.

4. How to Find the LCM of 6443 and 6447?

Answer:

Least Common Multiple of 6443 and 6447 = 41538021

Step 1: Find the prime factorization of 6443

6443 = 17 x 379

Step 2: Find the prime factorization of 6447

6447 = 3 x 7 x 307

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

LCM = 41538021 = 3 x 7 x 17 x 307 x 379

Step 4: Therefore, the least common multiple of 6443 and 6447 is 41538021.