Least Common Multiple of 6430 and 6438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6430 and 6438 the smallest integer that is 20698170 that is divisible by both numbers.

Least Common Multiple (LCM) of 6430 and 6438 is 20698170.

LCM(6430,6438) = 20698170

LCM of 6430 and 6438

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

LCM of:
and

Least Common Multiple of 6430 and 6438

LCM of 6430 and 6438 is 20698170

Least common multiple can be found by multiplying the highest exponent prime factors of 6430 and 6438. First we will calculate the prime factors of 6430 and 6438.

Prime Factorization of 6430


2 6430
5 3215
643 643
1

Prime factors of 6430 are 2, 5,643. Prime factorization of 6430 in exponential form is:

6430 = 21×51×6431

Prime Factorization of 6438


2 6438
3 3219
29 1073
37 37
1

Prime factors of 6438 are 2, 3, 29,37. Prime factorization of 6438 in exponential form is:

6438 = 21×31×291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6430 and 6438.

LCM(6430,6438) = 21×31×51×291×371×6431
LCM(6430,6438) = 20698170

Factors of 6430

List of positive integer factors of 6430 that divides 6430 without a remainder.

1, 2, 5, 10, 643, 1286, 3215, 6430

Factors of 6438

List of positive integer factors of 6438 that divides 6438 without a remainder.

1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438

Least Common Multiple of 6430 and 6438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6430 and 6438, than apply into the LCM equation.

GCF(6430,6438) = 2
LCM(6430,6438) = ( 6430 × 6438) / 2
LCM(6430,6438) = 41396340 / 2
LCM(6430,6438) = 20698170

Properties of LCM 6430 and 6438

(i) The LCM of 6438 and 6430 is associative

LCM of 6430 and 6438 = LCM of 6438 and 6430

Related Least Common Multiples of 6430

Related Least Common Multiples of 6438

Frequently Asked Questions on LCM of 6430 and 6438

1. What is the LCM of 6430 and 6438?

Answer: LCM of 6430 and 6438 is 20698170.

2. What are the Factors of 6430?

Answer: Factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430. There are 8 integers that are factors of 6430. The greatest factor of 6430 is 6430.

3. What are the Factors of 6438?

Answer: Factors of 6438 are 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438. There are 16 integers that are factors of 6438. The greatest factor of 6438 is 6438.

4. How to Find the LCM of 6430 and 6438?

Answer:

Least Common Multiple of 6430 and 6438 = 20698170

Step 1: Find the prime factorization of 6430

6430 = 2 x 5 x 643

Step 2: Find the prime factorization of 6438

6438 = 2 x 3 x 29 x 37

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

LCM = 20698170 = 2 x 3 x 5 x 29 x 37 x 643

Step 4: Therefore, the least common multiple of 6430 and 6438 is 20698170.