Least Common Multiple of 6438 and 6444

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 6444 the smallest integer that is 6914412 that is divisible by both numbers.

Least Common Multiple (LCM) of 6438 and 6444 is 6914412.

LCM(6438,6444) = 6914412

LCM of 6438 and 6444

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

LCM of:
and

Least Common Multiple of 6438 and 6444

LCM of 6438 and 6444 is 6914412

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6444. First we will calculate the prime factors of 6438 and 6444.

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 6444


2 6444
2 3222
3 1611
3 537
179 179
1

Prime factors of 6444 are 2, 3,179. Prime factorization of 6444 in exponential form is:

6444 = 22×32×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6444.

LCM(6438,6444) = 22×32×291×371×1791
LCM(6438,6444) = 6914412

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 6444

List of positive integer factors of 6444 that divides 6444 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444

Least Common Multiple of 6438 and 6444 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 6444, than apply into the LCM equation.

GCF(6438,6444) = 6
LCM(6438,6444) = ( 6438 × 6444) / 6
LCM(6438,6444) = 41486472 / 6
LCM(6438,6444) = 6914412

Properties of LCM 6438 and 6444

(i) The LCM of 6444 and 6438 is associative

LCM of 6438 and 6444 = LCM of 6444 and 6438

Related Least Common Multiples of 6438

Related Least Common Multiples of 6444

Frequently Asked Questions on LCM of 6438 and 6444

1. What is the LCM of 6438 and 6444?

Answer: LCM of 6438 and 6444 is 6914412.

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 6444?

Answer: Factors of 6444 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444. There are 18 integers that are factors of 6444. The greatest factor of 6444 is 6444.

4. How to Find the LCM of 6438 and 6444?

Answer:

Least Common Multiple of 6438 and 6444 = 6914412

Step 1: Find the prime factorization of 6438

6438 = 2 x 3 x 29 x 37

Step 2: Find the prime factorization of 6444

6444 = 2 x 2 x 3 x 3 x 179

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

LCM = 6914412 = 2 x 2 x 3 x 3 x 29 x 37 x 179

Step 4: Therefore, the least common multiple of 6438 and 6444 is 6914412.