Least Common Multiple of 6435 and 6442
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6435 and 6442 the smallest integer that is 41454270 that is divisible by both numbers.
Least Common Multiple (LCM) of 6435 and 6442 is 41454270.
LCM(6435,6442) = 41454270
LCM of 6435 and 6442
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6435 and 6442 by Prime method
- Least Common Multiple of 6435 and 6442 with GCF Formula
LCM of 6435 and 6442 is 41454270
Least common multiple can be found by multiplying the highest exponent prime factors of 6435 and 6442. First we will calculate the prime factors of 6435 and 6442.
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
Prime Factorization of 6442
| 2 | 6442 |
| 3221 | 3221 |
| 1 |
Prime factors of 6442 are 2,3221. Prime factorization of 6442 in exponential form is:
6442 = 21×32211
Now multiplying the highest exponent prime factors to calculate the LCM of 6435 and 6442.
LCM(6435,6442) = 21×32×51×111×131×32211
LCM(6435,6442) = 41454270
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
Factors of 6442
List of positive integer factors of 6442 that divides 6442 without a remainder.
1, 2, 3221, 6442
Least Common Multiple of 6435 and 6442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6435 and 6442, than apply into the LCM equation.
GCF(6435,6442) = 1
LCM(6435,6442) = ( 6435 × 6442) / 1
LCM(6435,6442) = 41454270 / 1
LCM(6435,6442) = 41454270
Properties of LCM 6435 and 6442
(i) The LCM of 6442 and 6435 is associative
LCM of 6435 and 6442 = LCM of 6442 and 6435
Related Least Common Multiples of 6435
Related Least Common Multiples of 6442
Frequently Asked Questions on LCM of 6435 and 6442
1. What is the LCM of 6435 and 6442?
Answer: LCM of 6435 and 6442 is 41454270.
2. 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.
3. What are the Factors of 6442?
Answer: Factors of 6442 are 1, 2, 3221, 6442. There are 4 integers that are factors of 6442. The greatest factor of 6442 is 6442.
4. How to Find the LCM of 6435 and 6442?
Answer:
Least Common Multiple of 6435 and 6442 = 41454270
Step 1: Find the prime factorization of 6435
6435 = 3 x 3 x 5 x 11 x 13
Step 2: Find the prime factorization of 6442
6442 = 2 x 3221
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41454270 = 2 x 3 x 3 x 5 x 11 x 13 x 3221
Step 4: Therefore, the least common multiple of 6435 and 6442 is 41454270.