Least Common Multiple of 6426 and 6430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6426 and 6430 the smallest integer that is 20659590 that is divisible by both numbers.

Least Common Multiple (LCM) of 6426 and 6430 is 20659590.

LCM(6426,6430) = 20659590

LCM of 6426 and 6430

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

LCM of:
and

Least Common Multiple of 6426 and 6430

LCM of 6426 and 6430 is 20659590

Least common multiple can be found by multiplying the highest exponent prime factors of 6426 and 6430. First we will calculate the prime factors of 6426 and 6430.

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

Prime Factorization of 6430


2 6430
5 3215
643 643
1

Prime factors of 6430 are 2, 5,643. Prime factorization of 6430 in exponential form is:

6430 = 21×51×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 6426 and 6430.

LCM(6426,6430) = 21×33×51×71×171×6431
LCM(6426,6430) = 20659590

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

Factors of 6430

List of positive integer factors of 6430 that divides 6430 without a remainder.

1, 2, 5, 10, 643, 1286, 3215, 6430

Least Common Multiple of 6426 and 6430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6426 and 6430, than apply into the LCM equation.

GCF(6426,6430) = 2
LCM(6426,6430) = ( 6426 × 6430) / 2
LCM(6426,6430) = 41319180 / 2
LCM(6426,6430) = 20659590

Properties of LCM 6426 and 6430

(i) The LCM of 6430 and 6426 is associative

LCM of 6426 and 6430 = LCM of 6430 and 6426

Related Least Common Multiples of 6426

Related Least Common Multiples of 6430

Frequently Asked Questions on LCM of 6426 and 6430

1. What is the LCM of 6426 and 6430?

Answer: LCM of 6426 and 6430 is 20659590.

2. 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.

3. What are the Factors of 6430?

Answer: Factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430. There are 8 integers that are factors of 6430. The greatest factor of 6430 is 6430.

4. How to Find the LCM of 6426 and 6430?

Answer:

Least Common Multiple of 6426 and 6430 = 20659590

Step 1: Find the prime factorization of 6426

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

Step 2: Find the prime factorization of 6430

6430 = 2 x 5 x 643

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

LCM = 20659590 = 2 x 3 x 3 x 3 x 5 x 7 x 17 x 643

Step 4: Therefore, the least common multiple of 6426 and 6430 is 20659590.