Least Common Multiple of 6439 and 6446
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6439 and 6446 the smallest integer that is 41505794 that is divisible by both numbers.
Least Common Multiple (LCM) of 6439 and 6446 is 41505794.
LCM(6439,6446) = 41505794
LCM of 6439 and 6446
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6439 and 6446 by Prime method
- Least Common Multiple of 6439 and 6446 with GCF Formula
LCM of 6439 and 6446 is 41505794
Least common multiple can be found by multiplying the highest exponent prime factors of 6439 and 6446. First we will calculate the prime factors of 6439 and 6446.
Prime Factorization of 6439
| 47 | 6439 |
| 137 | 137 |
| 1 |
Prime factors of 6439 are 47,137. Prime factorization of 6439 in exponential form is:
6439 = 471×1371
Prime Factorization of 6446
| 2 | 6446 |
| 11 | 3223 |
| 293 | 293 |
| 1 |
Prime factors of 6446 are 2, 11,293. Prime factorization of 6446 in exponential form is:
6446 = 21×111×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 6439 and 6446.
LCM(6439,6446) = 21×111×471×1371×2931
LCM(6439,6446) = 41505794
Factors of 6439
List of positive integer factors of 6439 that divides 6439 without a remainder.
1, 47, 137, 6439
Factors of 6446
List of positive integer factors of 6446 that divides 6446 without a remainder.
1, 2, 11, 22, 293, 586, 3223, 6446
Least Common Multiple of 6439 and 6446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6439 and 6446, than apply into the LCM equation.
GCF(6439,6446) = 1
LCM(6439,6446) = ( 6439 × 6446) / 1
LCM(6439,6446) = 41505794 / 1
LCM(6439,6446) = 41505794
Properties of LCM 6439 and 6446
(i) The LCM of 6446 and 6439 is associative
LCM of 6439 and 6446 = LCM of 6446 and 6439
Related Least Common Multiples of 6439
Related Least Common Multiples of 6446
Frequently Asked Questions on LCM of 6439 and 6446
1. What is the LCM of 6439 and 6446?
Answer: LCM of 6439 and 6446 is 41505794.
2. What are the Factors of 6439?
Answer: Factors of 6439 are 1, 47, 137, 6439. There are 4 integers that are factors of 6439. The greatest factor of 6439 is 6439.
3. What are the Factors of 6446?
Answer: Factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446. There are 8 integers that are factors of 6446. The greatest factor of 6446 is 6446.
4. How to Find the LCM of 6439 and 6446?
Answer:
Least Common Multiple of 6439 and 6446 = 41505794
Step 1: Find the prime factorization of 6439
6439 = 47 x 137
Step 2: Find the prime factorization of 6446
6446 = 2 x 11 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41505794 = 2 x 11 x 47 x 137 x 293
Step 4: Therefore, the least common multiple of 6439 and 6446 is 41505794.