Least Common Multiple of 605 and 609
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 605 and 609 the smallest integer that is 368445 that is divisible by both numbers.
Least Common Multiple (LCM) of 605 and 609 is 368445.
LCM(605,609) = 368445
LCM of 605 and 609
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 605 and 609 by Prime method
- Least Common Multiple of 605 and 609 with GCF Formula
LCM of 605 and 609 is 368445
Least common multiple can be found by multiplying the highest exponent prime factors of 605 and 609. First we will calculate the prime factors of 605 and 609.
Prime Factorization of 605
| 5 | 605 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:
605 = 51×112
Prime Factorization of 609
| 3 | 609 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 609 are 3, 7,29. Prime factorization of 609 in exponential form is:
609 = 31×71×291
Now multiplying the highest exponent prime factors to calculate the LCM of 605 and 609.
LCM(605,609) = 31×51×71×112×291
LCM(605,609) = 368445
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Least Common Multiple of 605 and 609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 605 and 609, than apply into the LCM equation.
GCF(605,609) = 1
LCM(605,609) = ( 605 × 609) / 1
LCM(605,609) = 368445 / 1
LCM(605,609) = 368445
Properties of LCM 605 and 609
(i) The LCM of 609 and 605 is associative
LCM of 605 and 609 = LCM of 609 and 605
Related Least Common Multiples of 605
Related Least Common Multiples of 609
Frequently Asked Questions on LCM of 605 and 609
1. What is the LCM of 605 and 609?
Answer: LCM of 605 and 609 is 368445.
2. What are the Factors of 605?
Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.
3. What are the Factors of 609?
Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.
4. How to Find the LCM of 605 and 609?
Answer:
Least Common Multiple of 605 and 609 = 368445
Step 1: Find the prime factorization of 605
605 = 5 x 11 x 11
Step 2: Find the prime factorization of 609
609 = 3 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 368445 = 3 x 5 x 7 x 11 x 11 x 29
Step 4: Therefore, the least common multiple of 605 and 609 is 368445.