Least Common Multiple of 6418 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 6418 and 6426 the smallest integer that is 20621034 that is divisible by both numbers.

Least Common Multiple (LCM) of 6418 and 6426 is 20621034.

LCM(6418,6426) = 20621034

LCM of 6418 and 6426

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

LCM of:
and

Least Common Multiple of 6418 and 6426

LCM of 6418 and 6426 is 20621034

Least common multiple can be found by multiplying the highest exponent prime factors of 6418 and 6426. First we will calculate the prime factors of 6418 and 6426.

Prime Factorization of 6418


2 6418
3209 3209
1

Prime factors of 6418 are 2,3209. Prime factorization of 6418 in exponential form is:

6418 = 21×32091

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 6418 and 6426.

LCM(6418,6426) = 21×33×71×171×32091
LCM(6418,6426) = 20621034

Factors of 6418

List of positive integer factors of 6418 that divides 6418 without a remainder.

1, 2, 3209, 6418

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 6418 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 6418 and 6426, than apply into the LCM equation.

GCF(6418,6426) = 2
LCM(6418,6426) = ( 6418 × 6426) / 2
LCM(6418,6426) = 41242068 / 2
LCM(6418,6426) = 20621034

Properties of LCM 6418 and 6426

(i) The LCM of 6426 and 6418 is associative

LCM of 6418 and 6426 = LCM of 6426 and 6418

Related Least Common Multiples of 6418

Related Least Common Multiples of 6426

Frequently Asked Questions on LCM of 6418 and 6426

1. What is the LCM of 6418 and 6426?

Answer: LCM of 6418 and 6426 is 20621034.

2. What are the Factors of 6418?

Answer: Factors of 6418 are 1, 2, 3209, 6418. There are 4 integers that are factors of 6418. The greatest factor of 6418 is 6418.

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 6418 and 6426?

Answer:

Least Common Multiple of 6418 and 6426 = 20621034

Step 1: Find the prime factorization of 6418

6418 = 2 x 3209

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 = 20621034 = 2 x 3 x 3 x 3 x 7 x 17 x 3209

Step 4: Therefore, the least common multiple of 6418 and 6426 is 20621034.