Least Common Multiple of 6613 and 6617
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6613 and 6617 the smallest integer that is 43758221 that is divisible by both numbers.
Least Common Multiple (LCM) of 6613 and 6617 is 43758221.
LCM(6613,6617) = 43758221
LCM of 6613 and 6617
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6613 and 6617 by Prime method
- Least Common Multiple of 6613 and 6617 with GCF Formula
LCM of 6613 and 6617 is 43758221
Least common multiple can be found by multiplying the highest exponent prime factors of 6613 and 6617. First we will calculate the prime factors of 6613 and 6617.
Prime Factorization of 6613
| 17 | 6613 |
| 389 | 389 |
| 1 |
Prime factors of 6613 are 17,389. Prime factorization of 6613 in exponential form is:
6613 = 171×3891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6613 and 6617.
LCM(6613,6617) = 131×171×3891×5091
LCM(6613,6617) = 43758221
Factors of 6613
List of positive integer factors of 6613 that divides 6613 without a remainder.
1, 17, 389, 6613
Factors of 6617
List of positive integer factors of 6617 that divides 6617 without a remainder.
1, 13, 509, 6617
Least Common Multiple of 6613 and 6617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6613 and 6617, than apply into the LCM equation.
GCF(6613,6617) = 1
LCM(6613,6617) = ( 6613 × 6617) / 1
LCM(6613,6617) = 43758221 / 1
LCM(6613,6617) = 43758221
Properties of LCM 6613 and 6617
(i) The LCM of 6617 and 6613 is associative
LCM of 6613 and 6617 = LCM of 6617 and 6613
Related Least Common Multiples of 6613
Related Least Common Multiples of 6617
Frequently Asked Questions on LCM of 6613 and 6617
1. What is the LCM of 6613 and 6617?
Answer: LCM of 6613 and 6617 is 43758221.
2. What are the Factors of 6613?
Answer: Factors of 6613 are 1, 17, 389, 6613. There are 4 integers that are factors of 6613. The greatest factor of 6613 is 6613.
3. 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.
4. How to Find the LCM of 6613 and 6617?
Answer:
Least Common Multiple of 6613 and 6617 = 43758221
Step 1: Find the prime factorization of 6613
6613 = 17 x 389
Step 2: Find the prime factorization of 6617
6617 = 13 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43758221 = 13 x 17 x 389 x 509
Step 4: Therefore, the least common multiple of 6613 and 6617 is 43758221.