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 6443 the smallest integer that is 41460705 that is divisible by both numbers.
Least Common Multiple (LCM) of 6435 and 6443 is 41460705.
LCM(6435,6443) = 41460705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6435 and 6443. First we will calculate the prime factors of 6435 and 6443.
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 6443
17 | 6443 |
379 | 379 |
1 |
Prime factors of 6443 are 17,379. Prime factorization of 6443 in exponential form is:
6443 = 171×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 6435 and 6443.
LCM(6435,6443) = 32×51×111×131×171×3791
LCM(6435,6443) = 41460705
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 6443
List of positive integer factors of 6443 that divides 6443 without a remainder.
1, 17, 379, 6443
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6435 and 6443, than apply into the LCM equation.
GCF(6435,6443) = 1
LCM(6435,6443) = ( 6435 × 6443) / 1
LCM(6435,6443) = 41460705 / 1
LCM(6435,6443) = 41460705
(i) The LCM of 6443 and 6435 is associative
LCM of 6435 and 6443 = LCM of 6443 and 6435
1. What is the LCM of 6435 and 6443?
Answer: LCM of 6435 and 6443 is 41460705.
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 6443?
Answer: Factors of 6443 are 1, 17, 379, 6443. There are 4 integers that are factors of 6443. The greatest factor of 6443 is 6443.
4. How to Find the LCM of 6435 and 6443?
Answer:
Least Common Multiple of 6435 and 6443 = 41460705
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 6443
6443 = 17 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41460705 = 3 x 3 x 5 x 11 x 13 x 17 x 379
Step 4: Therefore, the least common multiple of 6435 and 6443 is 41460705.