Least Common Multiple of 6438 and 6446

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 6446 the smallest integer that is 20749674 that is divisible by both numbers.

Least Common Multiple (LCM) of 6438 and 6446 is 20749674.

LCM(6438,6446) = 20749674

LCM of 6438 and 6446

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

LCM of:
and

Least Common Multiple of 6438 and 6446

LCM of 6438 and 6446 is 20749674

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6446. First we will calculate the prime factors of 6438 and 6446.

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 6446


2 6446
11 3223
293 293
1

Prime factors of 6446 are 2, 11,293. Prime factorization of 6446 in exponential form is:

6446 = 21×111×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6446.

LCM(6438,6446) = 21×31×111×291×371×2931
LCM(6438,6446) = 20749674

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 6446

List of positive integer factors of 6446 that divides 6446 without a remainder.

1, 2, 11, 22, 293, 586, 3223, 6446

Least Common Multiple of 6438 and 6446 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 6446, than apply into the LCM equation.

GCF(6438,6446) = 2
LCM(6438,6446) = ( 6438 × 6446) / 2
LCM(6438,6446) = 41499348 / 2
LCM(6438,6446) = 20749674

Properties of LCM 6438 and 6446

(i) The LCM of 6446 and 6438 is associative

LCM of 6438 and 6446 = LCM of 6446 and 6438

Related Least Common Multiples of 6438

Related Least Common Multiples of 6446

Frequently Asked Questions on LCM of 6438 and 6446

1. What is the LCM of 6438 and 6446?

Answer: LCM of 6438 and 6446 is 20749674.

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 6446?

Answer: Factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446. There are 8 integers that are factors of 6446. The greatest factor of 6446 is 6446.

4. How to Find the LCM of 6438 and 6446?

Answer:

Least Common Multiple of 6438 and 6446 = 20749674

Step 1: Find the prime factorization of 6438

6438 = 2 x 3 x 29 x 37

Step 2: Find the prime factorization of 6446

6446 = 2 x 11 x 293

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

LCM = 20749674 = 2 x 3 x 11 x 29 x 37 x 293

Step 4: Therefore, the least common multiple of 6438 and 6446 is 20749674.