Least Common Multiple of 6399 and 6404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6399 and 6404 the smallest integer that is 40979196 that is divisible by both numbers.

Least Common Multiple (LCM) of 6399 and 6404 is 40979196.

LCM(6399,6404) = 40979196

LCM of 6399 and 6404

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

LCM of:
and

Least Common Multiple of 6399 and 6404

LCM of 6399 and 6404 is 40979196

Least common multiple can be found by multiplying the highest exponent prime factors of 6399 and 6404. First we will calculate the prime factors of 6399 and 6404.

Prime Factorization of 6399


3 6399
3 2133
3 711
3 237
79 79
1

Prime factors of 6399 are 3,79. Prime factorization of 6399 in exponential form is:

6399 = 34×791

Prime Factorization of 6404


2 6404
2 3202
1601 1601
1

Prime factors of 6404 are 2,1601. Prime factorization of 6404 in exponential form is:

6404 = 22×16011

Now multiplying the highest exponent prime factors to calculate the LCM of 6399 and 6404.

LCM(6399,6404) = 22×34×791×16011
LCM(6399,6404) = 40979196

Factors of 6399

List of positive integer factors of 6399 that divides 6399 without a remainder.

1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399

Factors of 6404

List of positive integer factors of 6404 that divides 6404 without a remainder.

1, 2, 4, 1601, 3202, 6404

Least Common Multiple of 6399 and 6404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6399 and 6404, than apply into the LCM equation.

GCF(6399,6404) = 1
LCM(6399,6404) = ( 6399 × 6404) / 1
LCM(6399,6404) = 40979196 / 1
LCM(6399,6404) = 40979196

Properties of LCM 6399 and 6404

(i) The LCM of 6404 and 6399 is associative

LCM of 6399 and 6404 = LCM of 6404 and 6399

Related Least Common Multiples of 6399

Related Least Common Multiples of 6404

Frequently Asked Questions on LCM of 6399 and 6404

1. What is the LCM of 6399 and 6404?

Answer: LCM of 6399 and 6404 is 40979196.

2. What are the Factors of 6399?

Answer: Factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399. There are 10 integers that are factors of 6399. The greatest factor of 6399 is 6399.

3. What are the Factors of 6404?

Answer: Factors of 6404 are 1, 2, 4, 1601, 3202, 6404. There are 6 integers that are factors of 6404. The greatest factor of 6404 is 6404.

4. How to Find the LCM of 6399 and 6404?

Answer:

Least Common Multiple of 6399 and 6404 = 40979196

Step 1: Find the prime factorization of 6399

6399 = 3 x 3 x 3 x 3 x 79

Step 2: Find the prime factorization of 6404

6404 = 2 x 2 x 1601

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

LCM = 40979196 = 2 x 2 x 3 x 3 x 3 x 3 x 79 x 1601

Step 4: Therefore, the least common multiple of 6399 and 6404 is 40979196.