Least Common Multiple of 6421 and 6424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6421 and 6424 the smallest integer that is 41248504 that is divisible by both numbers.

Least Common Multiple (LCM) of 6421 and 6424 is 41248504.

LCM(6421,6424) = 41248504

LCM of 6421 and 6424

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

LCM of:
and

Least Common Multiple of 6421 and 6424

LCM of 6421 and 6424 is 41248504

Least common multiple can be found by multiplying the highest exponent prime factors of 6421 and 6424. First we will calculate the prime factors of 6421 and 6424.

Prime Factorization of 6421


6421 6421
1

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

6421 = 64211

Prime Factorization of 6424


2 6424
2 3212
2 1606
11 803
73 73
1

Prime factors of 6424 are 2, 11,73. Prime factorization of 6424 in exponential form is:

6424 = 23×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6421 and 6424.

LCM(6421,6424) = 23×111×731×64211
LCM(6421,6424) = 41248504

Factors of 6421

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

1, 6421

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424

Least Common Multiple of 6421 and 6424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6421 and 6424, than apply into the LCM equation.

GCF(6421,6424) = 1
LCM(6421,6424) = ( 6421 × 6424) / 1
LCM(6421,6424) = 41248504 / 1
LCM(6421,6424) = 41248504

Properties of LCM 6421 and 6424

(i) The LCM of 6424 and 6421 is associative

LCM of 6421 and 6424 = LCM of 6424 and 6421

Related Least Common Multiples of 6421

Related Least Common Multiples of 6424

Frequently Asked Questions on LCM of 6421 and 6424

1. What is the LCM of 6421 and 6424?

Answer: LCM of 6421 and 6424 is 41248504.

2. 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.

3. What are the Factors of 6424?

Answer: Factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424. There are 16 integers that are factors of 6424. The greatest factor of 6424 is 6424.

4. How to Find the LCM of 6421 and 6424?

Answer:

Least Common Multiple of 6421 and 6424 = 41248504

Step 1: Find the prime factorization of 6421

6421 = 6421

Step 2: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

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

LCM = 41248504 = 2 x 2 x 2 x 11 x 73 x 6421

Step 4: Therefore, the least common multiple of 6421 and 6424 is 41248504.