Least Common Multiple of 6399 and 6407
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 6407 the smallest integer that is 40998393 that is divisible by both numbers.
Least Common Multiple (LCM) of 6399 and 6407 is 40998393.
LCM(6399,6407) = 40998393
LCM of 6399 and 6407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6399 and 6407 by Prime method
- Least Common Multiple of 6399 and 6407 with GCF Formula
LCM of 6399 and 6407 is 40998393
Least common multiple can be found by multiplying the highest exponent prime factors of 6399 and 6407. First we will calculate the prime factors of 6399 and 6407.
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 6407
| 43 | 6407 |
| 149 | 149 |
| 1 |
Prime factors of 6407 are 43,149. Prime factorization of 6407 in exponential form is:
6407 = 431×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 6399 and 6407.
LCM(6399,6407) = 34×431×791×1491
LCM(6399,6407) = 40998393
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 6407
List of positive integer factors of 6407 that divides 6407 without a remainder.
1, 43, 149, 6407
Least Common Multiple of 6399 and 6407 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 6407, than apply into the LCM equation.
GCF(6399,6407) = 1
LCM(6399,6407) = ( 6399 × 6407) / 1
LCM(6399,6407) = 40998393 / 1
LCM(6399,6407) = 40998393
Properties of LCM 6399 and 6407
(i) The LCM of 6407 and 6399 is associative
LCM of 6399 and 6407 = LCM of 6407 and 6399
Related Least Common Multiples of 6399
Related Least Common Multiples of 6407
Frequently Asked Questions on LCM of 6399 and 6407
1. What is the LCM of 6399 and 6407?
Answer: LCM of 6399 and 6407 is 40998393.
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 6407?
Answer: Factors of 6407 are 1, 43, 149, 6407. There are 4 integers that are factors of 6407. The greatest factor of 6407 is 6407.
4. How to Find the LCM of 6399 and 6407?
Answer:
Least Common Multiple of 6399 and 6407 = 40998393
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 6407
6407 = 43 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40998393 = 3 x 3 x 3 x 3 x 43 x 79 x 149
Step 4: Therefore, the least common multiple of 6399 and 6407 is 40998393.