Least Common Multiple of 6617 and 6622
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6617 and 6622 the smallest integer that is 43817774 that is divisible by both numbers.
Least Common Multiple (LCM) of 6617 and 6622 is 43817774.
LCM(6617,6622) = 43817774
LCM of 6617 and 6622
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6617 and 6622 by Prime method
- Least Common Multiple of 6617 and 6622 with GCF Formula
LCM of 6617 and 6622 is 43817774
Least common multiple can be found by multiplying the highest exponent prime factors of 6617 and 6622. First we will calculate the prime factors of 6617 and 6622.
Prime Factorization of 6617
| 13 | 6617 |
| 509 | 509 |
| 1 |
Prime factors of 6617 are 13,509. Prime factorization of 6617 in exponential form is:
6617 = 131×5091
Prime Factorization of 6622
| 2 | 6622 |
| 7 | 3311 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 6622 are 2, 7, 11,43. Prime factorization of 6622 in exponential form is:
6622 = 21×71×111×431
Now multiplying the highest exponent prime factors to calculate the LCM of 6617 and 6622.
LCM(6617,6622) = 21×71×111×131×431×5091
LCM(6617,6622) = 43817774
Factors of 6617
List of positive integer factors of 6617 that divides 6617 without a remainder.
1, 13, 509, 6617
Factors of 6622
List of positive integer factors of 6622 that divides 6622 without a remainder.
1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622
Least Common Multiple of 6617 and 6622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6617 and 6622, than apply into the LCM equation.
GCF(6617,6622) = 1
LCM(6617,6622) = ( 6617 × 6622) / 1
LCM(6617,6622) = 43817774 / 1
LCM(6617,6622) = 43817774
Properties of LCM 6617 and 6622
(i) The LCM of 6622 and 6617 is associative
LCM of 6617 and 6622 = LCM of 6622 and 6617
Related Least Common Multiples of 6617
Related Least Common Multiples of 6622
Frequently Asked Questions on LCM of 6617 and 6622
1. What is the LCM of 6617 and 6622?
Answer: LCM of 6617 and 6622 is 43817774.
2. What are the Factors of 6617?
Answer: Factors of 6617 are 1, 13, 509, 6617. There are 4 integers that are factors of 6617. The greatest factor of 6617 is 6617.
3. What are the Factors of 6622?
Answer: Factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622. There are 16 integers that are factors of 6622. The greatest factor of 6622 is 6622.
4. How to Find the LCM of 6617 and 6622?
Answer:
Least Common Multiple of 6617 and 6622 = 43817774
Step 1: Find the prime factorization of 6617
6617 = 13 x 509
Step 2: Find the prime factorization of 6622
6622 = 2 x 7 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43817774 = 2 x 7 x 11 x 13 x 43 x 509
Step 4: Therefore, the least common multiple of 6617 and 6622 is 43817774.