Least Common Multiple of 6418 and 6421

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 6421 the smallest integer that is 41209978 that is divisible by both numbers.

Least Common Multiple (LCM) of 6418 and 6421 is 41209978.

LCM(6418,6421) = 41209978

LCM of 6418 and 6421

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

LCM of:
and

Least Common Multiple of 6418 and 6421

LCM of 6418 and 6421 is 41209978

Least common multiple can be found by multiplying the highest exponent prime factors of 6418 and 6421. First we will calculate the prime factors of 6418 and 6421.

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 6421


6421 6421
1

Prime factors of 6421 are 6421. Prime factorization of 6421 in exponential form is:

6421 = 64211

Now multiplying the highest exponent prime factors to calculate the LCM of 6418 and 6421.

LCM(6418,6421) = 21×32091×64211
LCM(6418,6421) = 41209978

Factors of 6418

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

1, 2, 3209, 6418

Factors of 6421

List of positive integer factors of 6421 that divides 6421 without a remainder.

1, 6421

Least Common Multiple of 6418 and 6421 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 6421, than apply into the LCM equation.

GCF(6418,6421) = 1
LCM(6418,6421) = ( 6418 × 6421) / 1
LCM(6418,6421) = 41209978 / 1
LCM(6418,6421) = 41209978

Properties of LCM 6418 and 6421

(i) The LCM of 6421 and 6418 is associative

LCM of 6418 and 6421 = LCM of 6421 and 6418

Related Least Common Multiples of 6418

Related Least Common Multiples of 6421

Frequently Asked Questions on LCM of 6418 and 6421

1. What is the LCM of 6418 and 6421?

Answer: LCM of 6418 and 6421 is 41209978.

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 6421?

Answer: Factors of 6421 are 1, 6421. There are 2 integers that are factors of 6421. The greatest factor of 6421 is 6421.

4. How to Find the LCM of 6418 and 6421?

Answer:

Least Common Multiple of 6418 and 6421 = 41209978

Step 1: Find the prime factorization of 6418

6418 = 2 x 3209

Step 2: Find the prime factorization of 6421

6421 = 6421

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

LCM = 41209978 = 2 x 3209 x 6421

Step 4: Therefore, the least common multiple of 6418 and 6421 is 41209978.