Least Common Multiple of 6405 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 6405 and 6407 the smallest integer that is 41036835 that is divisible by both numbers.
Least Common Multiple (LCM) of 6405 and 6407 is 41036835.
LCM(6405,6407) = 41036835
LCM of 6405 and 6407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6405 and 6407 by Prime method
- Least Common Multiple of 6405 and 6407 with GCF Formula
LCM of 6405 and 6407 is 41036835
Least common multiple can be found by multiplying the highest exponent prime factors of 6405 and 6407. First we will calculate the prime factors of 6405 and 6407.
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
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 6405 and 6407.
LCM(6405,6407) = 31×51×71×431×611×1491
LCM(6405,6407) = 41036835
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
Factors of 6407
List of positive integer factors of 6407 that divides 6407 without a remainder.
1, 43, 149, 6407
Least Common Multiple of 6405 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 6405 and 6407, than apply into the LCM equation.
GCF(6405,6407) = 1
LCM(6405,6407) = ( 6405 × 6407) / 1
LCM(6405,6407) = 41036835 / 1
LCM(6405,6407) = 41036835
Properties of LCM 6405 and 6407
(i) The LCM of 6407 and 6405 is associative
LCM of 6405 and 6407 = LCM of 6407 and 6405
Related Least Common Multiples of 6405
Related Least Common Multiples of 6407
Frequently Asked Questions on LCM of 6405 and 6407
1. What is the LCM of 6405 and 6407?
Answer: LCM of 6405 and 6407 is 41036835.
2. 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.
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 6405 and 6407?
Answer:
Least Common Multiple of 6405 and 6407 = 41036835
Step 1: Find the prime factorization of 6405
6405 = 3 x 5 x 7 x 61
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 = 41036835 = 3 x 5 x 7 x 43 x 61 x 149
Step 4: Therefore, the least common multiple of 6405 and 6407 is 41036835.