Least Common Multiple of 6571 and 6578
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6571 and 6578 the smallest integer that is 43224038 that is divisible by both numbers.
Least Common Multiple (LCM) of 6571 and 6578 is 43224038.
LCM(6571,6578) = 43224038
LCM of 6571 and 6578
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6571 and 6578 by Prime method
- Least Common Multiple of 6571 and 6578 with GCF Formula
LCM of 6571 and 6578 is 43224038
Least common multiple can be found by multiplying the highest exponent prime factors of 6571 and 6578. First we will calculate the prime factors of 6571 and 6578.
Prime Factorization of 6571
| 6571 | 6571 |
| 1 |
Prime factors of 6571 are 6571. Prime factorization of 6571 in exponential form is:
6571 = 65711
Prime Factorization of 6578
| 2 | 6578 |
| 11 | 3289 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 6578 are 2, 11, 13,23. Prime factorization of 6578 in exponential form is:
6578 = 21×111×131×231
Now multiplying the highest exponent prime factors to calculate the LCM of 6571 and 6578.
LCM(6571,6578) = 21×111×131×231×65711
LCM(6571,6578) = 43224038
Factors of 6571
List of positive integer factors of 6571 that divides 6571 without a remainder.
1, 6571
Factors of 6578
List of positive integer factors of 6578 that divides 6578 without a remainder.
1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578
Least Common Multiple of 6571 and 6578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6571 and 6578, than apply into the LCM equation.
GCF(6571,6578) = 1
LCM(6571,6578) = ( 6571 × 6578) / 1
LCM(6571,6578) = 43224038 / 1
LCM(6571,6578) = 43224038
Properties of LCM 6571 and 6578
(i) The LCM of 6578 and 6571 is associative
LCM of 6571 and 6578 = LCM of 6578 and 6571
Related Least Common Multiples of 6571
Related Least Common Multiples of 6578
Frequently Asked Questions on LCM of 6571 and 6578
1. What is the LCM of 6571 and 6578?
Answer: LCM of 6571 and 6578 is 43224038.
2. What are the Factors of 6571?
Answer: Factors of 6571 are 1, 6571. There are 2 integers that are factors of 6571. The greatest factor of 6571 is 6571.
3. What are the Factors of 6578?
Answer: Factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578. There are 16 integers that are factors of 6578. The greatest factor of 6578 is 6578.
4. How to Find the LCM of 6571 and 6578?
Answer:
Least Common Multiple of 6571 and 6578 = 43224038
Step 1: Find the prime factorization of 6571
6571 = 6571
Step 2: Find the prime factorization of 6578
6578 = 2 x 11 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43224038 = 2 x 11 x 13 x 23 x 6571
Step 4: Therefore, the least common multiple of 6571 and 6578 is 43224038.