Least Common Multiple of 6413 and 6418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6413 and 6418 the smallest integer that is 41158634 that is divisible by both numbers.

Least Common Multiple (LCM) of 6413 and 6418 is 41158634.

LCM(6413,6418) = 41158634

LCM of 6413 and 6418

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

LCM of:
and

Least Common Multiple of 6413 and 6418

LCM of 6413 and 6418 is 41158634

Least common multiple can be found by multiplying the highest exponent prime factors of 6413 and 6418. First we will calculate the prime factors of 6413 and 6418.

Prime Factorization of 6413


11 6413
11 583
53 53
1

Prime factors of 6413 are 11,53. Prime factorization of 6413 in exponential form is:

6413 = 112×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6413 and 6418.

LCM(6413,6418) = 21×112×531×32091
LCM(6413,6418) = 41158634

Factors of 6413

List of positive integer factors of 6413 that divides 6413 without a remainder.

1, 11, 53, 121, 583, 6413

Factors of 6418

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

1, 2, 3209, 6418

Least Common Multiple of 6413 and 6418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6413 and 6418, than apply into the LCM equation.

GCF(6413,6418) = 1
LCM(6413,6418) = ( 6413 × 6418) / 1
LCM(6413,6418) = 41158634 / 1
LCM(6413,6418) = 41158634

Properties of LCM 6413 and 6418

(i) The LCM of 6418 and 6413 is associative

LCM of 6413 and 6418 = LCM of 6418 and 6413

Related Least Common Multiples of 6413

Related Least Common Multiples of 6418

Frequently Asked Questions on LCM of 6413 and 6418

1. What is the LCM of 6413 and 6418?

Answer: LCM of 6413 and 6418 is 41158634.

2. What are the Factors of 6413?

Answer: Factors of 6413 are 1, 11, 53, 121, 583, 6413. There are 6 integers that are factors of 6413. The greatest factor of 6413 is 6413.

3. 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.

4. How to Find the LCM of 6413 and 6418?

Answer:

Least Common Multiple of 6413 and 6418 = 41158634

Step 1: Find the prime factorization of 6413

6413 = 11 x 11 x 53

Step 2: Find the prime factorization of 6418

6418 = 2 x 3209

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

LCM = 41158634 = 2 x 11 x 11 x 53 x 3209

Step 4: Therefore, the least common multiple of 6413 and 6418 is 41158634.