Least Common Multiple of 6603 and 6609
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6603 and 6609 the smallest integer that is 14546409 that is divisible by both numbers.
Least Common Multiple (LCM) of 6603 and 6609 is 14546409.
LCM(6603,6609) = 14546409
LCM of 6603 and 6609
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6603 and 6609 by Prime method
- Least Common Multiple of 6603 and 6609 with GCF Formula
LCM of 6603 and 6609 is 14546409
Least common multiple can be found by multiplying the highest exponent prime factors of 6603 and 6609. First we will calculate the prime factors of 6603 and 6609.
Prime Factorization of 6603
| 3 | 6603 |
| 31 | 2201 |
| 71 | 71 |
| 1 |
Prime factors of 6603 are 3, 31,71. Prime factorization of 6603 in exponential form is:
6603 = 31×311×711
Prime Factorization of 6609
| 3 | 6609 |
| 2203 | 2203 |
| 1 |
Prime factors of 6609 are 3,2203. Prime factorization of 6609 in exponential form is:
6609 = 31×22031
Now multiplying the highest exponent prime factors to calculate the LCM of 6603 and 6609.
LCM(6603,6609) = 31×311×711×22031
LCM(6603,6609) = 14546409
Factors of 6603
List of positive integer factors of 6603 that divides 6603 without a remainder.
1, 3, 31, 71, 93, 213, 2201, 6603
Factors of 6609
List of positive integer factors of 6609 that divides 6609 without a remainder.
1, 3, 2203, 6609
Least Common Multiple of 6603 and 6609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6603 and 6609, than apply into the LCM equation.
GCF(6603,6609) = 3
LCM(6603,6609) = ( 6603 × 6609) / 3
LCM(6603,6609) = 43639227 / 3
LCM(6603,6609) = 14546409
Properties of LCM 6603 and 6609
(i) The LCM of 6609 and 6603 is associative
LCM of 6603 and 6609 = LCM of 6609 and 6603
Related Least Common Multiples of 6603
Related Least Common Multiples of 6609
Frequently Asked Questions on LCM of 6603 and 6609
1. What is the LCM of 6603 and 6609?
Answer: LCM of 6603 and 6609 is 14546409.
2. What are the Factors of 6603?
Answer: Factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603. There are 8 integers that are factors of 6603. The greatest factor of 6603 is 6603.
3. What are the Factors of 6609?
Answer: Factors of 6609 are 1, 3, 2203, 6609. There are 4 integers that are factors of 6609. The greatest factor of 6609 is 6609.
4. How to Find the LCM of 6603 and 6609?
Answer:
Least Common Multiple of 6603 and 6609 = 14546409
Step 1: Find the prime factorization of 6603
6603 = 3 x 31 x 71
Step 2: Find the prime factorization of 6609
6609 = 3 x 2203
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14546409 = 3 x 31 x 71 x 2203
Step 4: Therefore, the least common multiple of 6603 and 6609 is 14546409.