Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6583 and 6590 the smallest integer that is 43381970 that is divisible by both numbers.
Least Common Multiple (LCM) of 6583 and 6590 is 43381970.
LCM(6583,6590) = 43381970
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 6583 and 6590. First we will calculate the prime factors of 6583 and 6590.
Prime Factorization of 6583
29 | 6583 |
227 | 227 |
1 |
Prime factors of 6583 are 29,227. Prime factorization of 6583 in exponential form is:
6583 = 291×2271
Prime Factorization of 6590
2 | 6590 |
5 | 3295 |
659 | 659 |
1 |
Prime factors of 6590 are 2, 5,659. Prime factorization of 6590 in exponential form is:
6590 = 21×51×6591
Now multiplying the highest exponent prime factors to calculate the LCM of 6583 and 6590.
LCM(6583,6590) = 21×51×291×2271×6591
LCM(6583,6590) = 43381970
Factors of 6583
List of positive integer factors of 6583 that divides 6583 without a remainder.
1, 29, 227, 6583
Factors of 6590
List of positive integer factors of 6590 that divides 6590 without a remainder.
1, 2, 5, 10, 659, 1318, 3295, 6590
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6583 and 6590, than apply into the LCM equation.
GCF(6583,6590) = 1
LCM(6583,6590) = ( 6583 × 6590) / 1
LCM(6583,6590) = 43381970 / 1
LCM(6583,6590) = 43381970
(i) The LCM of 6590 and 6583 is associative
LCM of 6583 and 6590 = LCM of 6590 and 6583
1. What is the LCM of 6583 and 6590?
Answer: LCM of 6583 and 6590 is 43381970.
2. What are the Factors of 6583?
Answer: Factors of 6583 are 1, 29, 227, 6583. There are 4 integers that are factors of 6583. The greatest factor of 6583 is 6583.
3. What are the Factors of 6590?
Answer: Factors of 6590 are 1, 2, 5, 10, 659, 1318, 3295, 6590. There are 8 integers that are factors of 6590. The greatest factor of 6590 is 6590.
4. How to Find the LCM of 6583 and 6590?
Answer:
Least Common Multiple of 6583 and 6590 = 43381970
Step 1: Find the prime factorization of 6583
6583 = 29 x 227
Step 2: Find the prime factorization of 6590
6590 = 2 x 5 x 659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43381970 = 2 x 5 x 29 x 227 x 659
Step 4: Therefore, the least common multiple of 6583 and 6590 is 43381970.