Least Common Multiple of 6399 and 6405

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 6405 the smallest integer that is 13661865 that is divisible by both numbers.

Least Common Multiple (LCM) of 6399 and 6405 is 13661865.

LCM(6399,6405) = 13661865

LCM of 6399 and 6405

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

LCM of:
and

Least Common Multiple of 6399 and 6405

LCM of 6399 and 6405 is 13661865

Least common multiple can be found by multiplying the highest exponent prime factors of 6399 and 6405. First we will calculate the prime factors of 6399 and 6405.

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 6405


3 6405
5 2135
7 427
61 61
1

Prime factors of 6405 are 3, 5, 7,61. Prime factorization of 6405 in exponential form is:

6405 = 31×51×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6399 and 6405.

LCM(6399,6405) = 34×51×71×611×791
LCM(6399,6405) = 13661865

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 6405

List of positive integer factors of 6405 that divides 6405 without a remainder.

1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405

Least Common Multiple of 6399 and 6405 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 6405, than apply into the LCM equation.

GCF(6399,6405) = 3
LCM(6399,6405) = ( 6399 × 6405) / 3
LCM(6399,6405) = 40985595 / 3
LCM(6399,6405) = 13661865

Properties of LCM 6399 and 6405

(i) The LCM of 6405 and 6399 is associative

LCM of 6399 and 6405 = LCM of 6405 and 6399

Related Least Common Multiples of 6399

Related Least Common Multiples of 6405

Frequently Asked Questions on LCM of 6399 and 6405

1. What is the LCM of 6399 and 6405?

Answer: LCM of 6399 and 6405 is 13661865.

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 6405?

Answer: Factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405. There are 16 integers that are factors of 6405. The greatest factor of 6405 is 6405.

4. How to Find the LCM of 6399 and 6405?

Answer:

Least Common Multiple of 6399 and 6405 = 13661865

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 6405

6405 = 3 x 5 x 7 x 61

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

LCM = 13661865 = 3 x 3 x 3 x 3 x 5 x 7 x 61 x 79

Step 4: Therefore, the least common multiple of 6399 and 6405 is 13661865.