Least Common Multiple of 6422 and 6426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6422 and 6426 the smallest integer that is 20633886 that is divisible by both numbers.

Least Common Multiple (LCM) of 6422 and 6426 is 20633886.

LCM(6422,6426) = 20633886

LCM of 6422 and 6426

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

LCM of:
and

Least Common Multiple of 6422 and 6426

LCM of 6422 and 6426 is 20633886

Least common multiple can be found by multiplying the highest exponent prime factors of 6422 and 6426. First we will calculate the prime factors of 6422 and 6426.

Prime Factorization of 6422


2 6422
13 3211
13 247
19 19
1

Prime factors of 6422 are 2, 13,19. Prime factorization of 6422 in exponential form is:

6422 = 21×132×191

Prime Factorization of 6426


2 6426
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 6426 are 2, 3, 7,17. Prime factorization of 6426 in exponential form is:

6426 = 21×33×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6422 and 6426.

LCM(6422,6426) = 21×33×71×132×171×191
LCM(6422,6426) = 20633886

Factors of 6422

List of positive integer factors of 6422 that divides 6422 without a remainder.

1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422

Factors of 6426

List of positive integer factors of 6426 that divides 6426 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426

Least Common Multiple of 6422 and 6426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6422 and 6426, than apply into the LCM equation.

GCF(6422,6426) = 2
LCM(6422,6426) = ( 6422 × 6426) / 2
LCM(6422,6426) = 41267772 / 2
LCM(6422,6426) = 20633886

Properties of LCM 6422 and 6426

(i) The LCM of 6426 and 6422 is associative

LCM of 6422 and 6426 = LCM of 6426 and 6422

Related Least Common Multiples of 6422

Related Least Common Multiples of 6426

Frequently Asked Questions on LCM of 6422 and 6426

1. What is the LCM of 6422 and 6426?

Answer: LCM of 6422 and 6426 is 20633886.

2. What are the Factors of 6422?

Answer: Factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422. There are 12 integers that are factors of 6422. The greatest factor of 6422 is 6422.

3. What are the Factors of 6426?

Answer: Factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426. There are 32 integers that are factors of 6426. The greatest factor of 6426 is 6426.

4. How to Find the LCM of 6422 and 6426?

Answer:

Least Common Multiple of 6422 and 6426 = 20633886

Step 1: Find the prime factorization of 6422

6422 = 2 x 13 x 13 x 19

Step 2: Find the prime factorization of 6426

6426 = 2 x 3 x 3 x 3 x 7 x 17

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

LCM = 20633886 = 2 x 3 x 3 x 3 x 7 x 13 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 6422 and 6426 is 20633886.