Least Common Multiple of 6424 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 6424 and 6426 the smallest integer that is 20640312 that is divisible by both numbers.

Least Common Multiple (LCM) of 6424 and 6426 is 20640312.

LCM(6424,6426) = 20640312

LCM of 6424 and 6426

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

LCM of:
and

Least Common Multiple of 6424 and 6426

LCM of 6424 and 6426 is 20640312

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6426. First we will calculate the prime factors of 6424 and 6426.

Prime Factorization of 6424


2 6424
2 3212
2 1606
11 803
73 73
1

Prime factors of 6424 are 2, 11,73. Prime factorization of 6424 in exponential form is:

6424 = 23×111×731

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 6424 and 6426.

LCM(6424,6426) = 23×33×71×111×171×731
LCM(6424,6426) = 20640312

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424

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 6424 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 6424 and 6426, than apply into the LCM equation.

GCF(6424,6426) = 2
LCM(6424,6426) = ( 6424 × 6426) / 2
LCM(6424,6426) = 41280624 / 2
LCM(6424,6426) = 20640312

Properties of LCM 6424 and 6426

(i) The LCM of 6426 and 6424 is associative

LCM of 6424 and 6426 = LCM of 6426 and 6424

Related Least Common Multiples of 6424

Related Least Common Multiples of 6426

Frequently Asked Questions on LCM of 6424 and 6426

1. What is the LCM of 6424 and 6426?

Answer: LCM of 6424 and 6426 is 20640312.

2. What are the Factors of 6424?

Answer: Factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424. There are 16 integers that are factors of 6424. The greatest factor of 6424 is 6424.

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 6424 and 6426?

Answer:

Least Common Multiple of 6424 and 6426 = 20640312

Step 1: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

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 = 20640312 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 17 x 73

Step 4: Therefore, the least common multiple of 6424 and 6426 is 20640312.