Least Common Multiple of 605 and 611
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 611 the smallest integer that is 369655 that is divisible by both numbers.
Least Common Multiple (LCM) of 605 and 611 is 369655.
LCM(605,611) = 369655
LCM of 605 and 611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 605 and 611 by Prime method
- Least Common Multiple of 605 and 611 with GCF Formula
LCM of 605 and 611 is 369655
Least common multiple can be found by multiplying the highest exponent prime factors of 605 and 611. First we will calculate the prime factors of 605 and 611.
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 611
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:
611 = 131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 605 and 611.
LCM(605,611) = 51×112×131×471
LCM(605,611) = 369655
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Least Common Multiple of 605 and 611 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 611, than apply into the LCM equation.
GCF(605,611) = 1
LCM(605,611) = ( 605 × 611) / 1
LCM(605,611) = 369655 / 1
LCM(605,611) = 369655
Properties of LCM 605 and 611
(i) The LCM of 611 and 605 is associative
LCM of 605 and 611 = LCM of 611 and 605
Related Least Common Multiples of 605
Related Least Common Multiples of 611
Frequently Asked Questions on LCM of 605 and 611
1. What is the LCM of 605 and 611?
Answer: LCM of 605 and 611 is 369655.
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 611?
Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.
4. How to Find the LCM of 605 and 611?
Answer:
Least Common Multiple of 605 and 611 = 369655
Step 1: Find the prime factorization of 605
605 = 5 x 11 x 11
Step 2: Find the prime factorization of 611
611 = 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 369655 = 5 x 11 x 11 x 13 x 47
Step 4: Therefore, the least common multiple of 605 and 611 is 369655.
