Least Common Multiple of 6416 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 6416 and 6421 the smallest integer that is 41197136 that is divisible by both numbers.

Least Common Multiple (LCM) of 6416 and 6421 is 41197136.

LCM(6416,6421) = 41197136

LCM of 6416 and 6421

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

LCM of:
and

Least Common Multiple of 6416 and 6421

LCM of 6416 and 6421 is 41197136

Least common multiple can be found by multiplying the highest exponent prime factors of 6416 and 6421. First we will calculate the prime factors of 6416 and 6421.

Prime Factorization of 6416


2 6416
2 3208
2 1604
2 802
401 401
1

Prime factors of 6416 are 2,401. Prime factorization of 6416 in exponential form is:

6416 = 24×4011

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 6416 and 6421.

LCM(6416,6421) = 24×4011×64211
LCM(6416,6421) = 41197136

Factors of 6416

List of positive integer factors of 6416 that divides 6416 without a remainder.

1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416

Factors of 6421

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

1, 6421

Least Common Multiple of 6416 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 6416 and 6421, than apply into the LCM equation.

GCF(6416,6421) = 1
LCM(6416,6421) = ( 6416 × 6421) / 1
LCM(6416,6421) = 41197136 / 1
LCM(6416,6421) = 41197136

Properties of LCM 6416 and 6421

(i) The LCM of 6421 and 6416 is associative

LCM of 6416 and 6421 = LCM of 6421 and 6416

Related Least Common Multiples of 6416

Related Least Common Multiples of 6421

Frequently Asked Questions on LCM of 6416 and 6421

1. What is the LCM of 6416 and 6421?

Answer: LCM of 6416 and 6421 is 41197136.

2. What are the Factors of 6416?

Answer: Factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416. There are 10 integers that are factors of 6416. The greatest factor of 6416 is 6416.

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 6416 and 6421?

Answer:

Least Common Multiple of 6416 and 6421 = 41197136

Step 1: Find the prime factorization of 6416

6416 = 2 x 2 x 2 x 2 x 401

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 = 41197136 = 2 x 2 x 2 x 2 x 401 x 6421

Step 4: Therefore, the least common multiple of 6416 and 6421 is 41197136.