Least Common Multiple of 6427 and 6435
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6427 and 6435 the smallest integer that is 41357745 that is divisible by both numbers.
Least Common Multiple (LCM) of 6427 and 6435 is 41357745.
LCM(6427,6435) = 41357745
LCM of 6427 and 6435
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6427 and 6435 by Prime method
- Least Common Multiple of 6427 and 6435 with GCF Formula
LCM of 6427 and 6435 is 41357745
Least common multiple can be found by multiplying the highest exponent prime factors of 6427 and 6435. First we will calculate the prime factors of 6427 and 6435.
Prime Factorization of 6427
| 6427 | 6427 |
| 1 |
Prime factors of 6427 are 6427. Prime factorization of 6427 in exponential form is:
6427 = 64271
Prime Factorization of 6435
| 3 | 6435 |
| 3 | 2145 |
| 5 | 715 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 6435 are 3, 5, 11,13. Prime factorization of 6435 in exponential form is:
6435 = 32×51×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 6427 and 6435.
LCM(6427,6435) = 32×51×111×131×64271
LCM(6427,6435) = 41357745
Factors of 6427
List of positive integer factors of 6427 that divides 6427 without a remainder.
1, 6427
Factors of 6435
List of positive integer factors of 6435 that divides 6435 without a remainder.
1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435
Least Common Multiple of 6427 and 6435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6427 and 6435, than apply into the LCM equation.
GCF(6427,6435) = 1
LCM(6427,6435) = ( 6427 × 6435) / 1
LCM(6427,6435) = 41357745 / 1
LCM(6427,6435) = 41357745
Properties of LCM 6427 and 6435
(i) The LCM of 6435 and 6427 is associative
LCM of 6427 and 6435 = LCM of 6435 and 6427
Related Least Common Multiples of 6427
Related Least Common Multiples of 6435
Frequently Asked Questions on LCM of 6427 and 6435
1. What is the LCM of 6427 and 6435?
Answer: LCM of 6427 and 6435 is 41357745.
2. What are the Factors of 6427?
Answer: Factors of 6427 are 1, 6427. There are 2 integers that are factors of 6427. The greatest factor of 6427 is 6427.
3. What are the Factors of 6435?
Answer: Factors of 6435 are 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435. There are 24 integers that are factors of 6435. The greatest factor of 6435 is 6435.
4. How to Find the LCM of 6427 and 6435?
Answer:
Least Common Multiple of 6427 and 6435 = 41357745
Step 1: Find the prime factorization of 6427
6427 = 6427
Step 2: Find the prime factorization of 6435
6435 = 3 x 3 x 5 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41357745 = 3 x 3 x 5 x 11 x 13 x 6427
Step 4: Therefore, the least common multiple of 6427 and 6435 is 41357745.