Least Common Multiple of 6434 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 6434 and 6438 the smallest integer that is 20711046 that is divisible by both numbers.

Least Common Multiple (LCM) of 6434 and 6438 is 20711046.

LCM(6434,6438) = 20711046

LCM of 6434 and 6438

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

LCM of:
and

Least Common Multiple of 6434 and 6438

LCM of 6434 and 6438 is 20711046

Least common multiple can be found by multiplying the highest exponent prime factors of 6434 and 6438. First we will calculate the prime factors of 6434 and 6438.

Prime Factorization of 6434


2 6434
3217 3217
1

Prime factors of 6434 are 2,3217. Prime factorization of 6434 in exponential form is:

6434 = 21×32171

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 6434 and 6438.

LCM(6434,6438) = 21×31×291×371×32171
LCM(6434,6438) = 20711046

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1, 2, 3217, 6434

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 6434 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 6434 and 6438, than apply into the LCM equation.

GCF(6434,6438) = 2
LCM(6434,6438) = ( 6434 × 6438) / 2
LCM(6434,6438) = 41422092 / 2
LCM(6434,6438) = 20711046

Properties of LCM 6434 and 6438

(i) The LCM of 6438 and 6434 is associative

LCM of 6434 and 6438 = LCM of 6438 and 6434

Related Least Common Multiples of 6434

Related Least Common Multiples of 6438

Frequently Asked Questions on LCM of 6434 and 6438

1. What is the LCM of 6434 and 6438?

Answer: LCM of 6434 and 6438 is 20711046.

2. What are the Factors of 6434?

Answer: Factors of 6434 are 1, 2, 3217, 6434. There are 4 integers that are factors of 6434. The greatest factor of 6434 is 6434.

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 6434 and 6438?

Answer:

Least Common Multiple of 6434 and 6438 = 20711046

Step 1: Find the prime factorization of 6434

6434 = 2 x 3217

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 = 20711046 = 2 x 3 x 29 x 37 x 3217

Step 4: Therefore, the least common multiple of 6434 and 6438 is 20711046.