Least Common Multiple of 6606 and 6613
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6606 and 6613 the smallest integer that is 43685478 that is divisible by both numbers.
Least Common Multiple (LCM) of 6606 and 6613 is 43685478.
LCM(6606,6613) = 43685478
LCM of 6606 and 6613
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6606 and 6613 by Prime method
- Least Common Multiple of 6606 and 6613 with GCF Formula
LCM of 6606 and 6613 is 43685478
Least common multiple can be found by multiplying the highest exponent prime factors of 6606 and 6613. First we will calculate the prime factors of 6606 and 6613.
Prime Factorization of 6606
| 2 | 6606 |
| 3 | 3303 |
| 3 | 1101 |
| 367 | 367 |
| 1 |
Prime factors of 6606 are 2, 3,367. Prime factorization of 6606 in exponential form is:
6606 = 21×32×3671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6606 and 6613.
LCM(6606,6613) = 21×32×171×3671×3891
LCM(6606,6613) = 43685478
Factors of 6606
List of positive integer factors of 6606 that divides 6606 without a remainder.
1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606
Factors of 6613
List of positive integer factors of 6613 that divides 6613 without a remainder.
1, 17, 389, 6613
Least Common Multiple of 6606 and 6613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6606 and 6613, than apply into the LCM equation.
GCF(6606,6613) = 1
LCM(6606,6613) = ( 6606 × 6613) / 1
LCM(6606,6613) = 43685478 / 1
LCM(6606,6613) = 43685478
Properties of LCM 6606 and 6613
(i) The LCM of 6613 and 6606 is associative
LCM of 6606 and 6613 = LCM of 6613 and 6606
Related Least Common Multiples of 6606
Related Least Common Multiples of 6613
Frequently Asked Questions on LCM of 6606 and 6613
1. What is the LCM of 6606 and 6613?
Answer: LCM of 6606 and 6613 is 43685478.
2. What are the Factors of 6606?
Answer: Factors of 6606 are 1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606. There are 12 integers that are factors of 6606. The greatest factor of 6606 is 6606.
3. 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.
4. How to Find the LCM of 6606 and 6613?
Answer:
Least Common Multiple of 6606 and 6613 = 43685478
Step 1: Find the prime factorization of 6606
6606 = 2 x 3 x 3 x 367
Step 2: Find the prime factorization of 6613
6613 = 17 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43685478 = 2 x 3 x 3 x 17 x 367 x 389
Step 4: Therefore, the least common multiple of 6606 and 6613 is 43685478.