Least Common Multiple of 6438 and 6442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6438 and 6442 the smallest integer that is 20736798 that is divisible by both numbers.

Least Common Multiple (LCM) of 6438 and 6442 is 20736798.

LCM(6438,6442) = 20736798

LCM of 6438 and 6442

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

LCM of:
and

Least Common Multiple of 6438 and 6442

LCM of 6438 and 6442 is 20736798

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6442. First we will calculate the prime factors of 6438 and 6442.

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

Prime Factorization of 6442


2 6442
3221 3221
1

Prime factors of 6442 are 2,3221. Prime factorization of 6442 in exponential form is:

6442 = 21×32211

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6442.

LCM(6438,6442) = 21×31×291×371×32211
LCM(6438,6442) = 20736798

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

Factors of 6442

List of positive integer factors of 6442 that divides 6442 without a remainder.

1, 2, 3221, 6442

Least Common Multiple of 6438 and 6442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6438 and 6442, than apply into the LCM equation.

GCF(6438,6442) = 2
LCM(6438,6442) = ( 6438 × 6442) / 2
LCM(6438,6442) = 41473596 / 2
LCM(6438,6442) = 20736798

Properties of LCM 6438 and 6442

(i) The LCM of 6442 and 6438 is associative

LCM of 6438 and 6442 = LCM of 6442 and 6438

Related Least Common Multiples of 6438

Related Least Common Multiples of 6442

Frequently Asked Questions on LCM of 6438 and 6442

1. What is the LCM of 6438 and 6442?

Answer: LCM of 6438 and 6442 is 20736798.

2. 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.

3. What are the Factors of 6442?

Answer: Factors of 6442 are 1, 2, 3221, 6442. There are 4 integers that are factors of 6442. The greatest factor of 6442 is 6442.

4. How to Find the LCM of 6438 and 6442?

Answer:

Least Common Multiple of 6438 and 6442 = 20736798

Step 1: Find the prime factorization of 6438

6438 = 2 x 3 x 29 x 37

Step 2: Find the prime factorization of 6442

6442 = 2 x 3221

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

LCM = 20736798 = 2 x 3 x 29 x 37 x 3221

Step 4: Therefore, the least common multiple of 6438 and 6442 is 20736798.