Least Common Multiple of 6601 and 6605
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6601 and 6605 the smallest integer that is 43599605 that is divisible by both numbers.
Least Common Multiple (LCM) of 6601 and 6605 is 43599605.
LCM(6601,6605) = 43599605
LCM of 6601 and 6605
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6601 and 6605 by Prime method
- Least Common Multiple of 6601 and 6605 with GCF Formula
LCM of 6601 and 6605 is 43599605
Least common multiple can be found by multiplying the highest exponent prime factors of 6601 and 6605. First we will calculate the prime factors of 6601 and 6605.
Prime Factorization of 6601
| 7 | 6601 |
| 23 | 943 |
| 41 | 41 |
| 1 |
Prime factors of 6601 are 7, 23,41. Prime factorization of 6601 in exponential form is:
6601 = 71×231×411
Prime Factorization of 6605
| 5 | 6605 |
| 1321 | 1321 |
| 1 |
Prime factors of 6605 are 5,1321. Prime factorization of 6605 in exponential form is:
6605 = 51×13211
Now multiplying the highest exponent prime factors to calculate the LCM of 6601 and 6605.
LCM(6601,6605) = 51×71×231×411×13211
LCM(6601,6605) = 43599605
Factors of 6601
List of positive integer factors of 6601 that divides 6601 without a remainder.
1, 7, 23, 41, 161, 287, 943, 6601
Factors of 6605
List of positive integer factors of 6605 that divides 6605 without a remainder.
1, 5, 1321, 6605
Least Common Multiple of 6601 and 6605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6601 and 6605, than apply into the LCM equation.
GCF(6601,6605) = 1
LCM(6601,6605) = ( 6601 × 6605) / 1
LCM(6601,6605) = 43599605 / 1
LCM(6601,6605) = 43599605
Properties of LCM 6601 and 6605
(i) The LCM of 6605 and 6601 is associative
LCM of 6601 and 6605 = LCM of 6605 and 6601
Related Least Common Multiples of 6601
Related Least Common Multiples of 6605
Frequently Asked Questions on LCM of 6601 and 6605
1. What is the LCM of 6601 and 6605?
Answer: LCM of 6601 and 6605 is 43599605.
2. What are the Factors of 6601?
Answer: Factors of 6601 are 1, 7, 23, 41, 161, 287, 943, 6601. There are 8 integers that are factors of 6601. The greatest factor of 6601 is 6601.
3. What are the Factors of 6605?
Answer: Factors of 6605 are 1, 5, 1321, 6605. There are 4 integers that are factors of 6605. The greatest factor of 6605 is 6605.
4. How to Find the LCM of 6601 and 6605?
Answer:
Least Common Multiple of 6601 and 6605 = 43599605
Step 1: Find the prime factorization of 6601
6601 = 7 x 23 x 41
Step 2: Find the prime factorization of 6605
6605 = 5 x 1321
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43599605 = 5 x 7 x 23 x 41 x 1321
Step 4: Therefore, the least common multiple of 6601 and 6605 is 43599605.