Least Common Multiple of 605 and 613
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 613 the smallest integer that is 370865 that is divisible by both numbers.
Least Common Multiple (LCM) of 605 and 613 is 370865.
LCM(605,613) = 370865
LCM of 605 and 613
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 605 and 613 by Prime method
- Least Common Multiple of 605 and 613 with GCF Formula
LCM of 605 and 613 is 370865
Least common multiple can be found by multiplying the highest exponent prime factors of 605 and 613. First we will calculate the prime factors of 605 and 613.
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 613
| 613 | 613 |
| 1 |
Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:
613 = 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 605 and 613.
LCM(605,613) = 51×112×6131
LCM(605,613) = 370865
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1, 613
Least Common Multiple of 605 and 613 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 613, than apply into the LCM equation.
GCF(605,613) = 1
LCM(605,613) = ( 605 × 613) / 1
LCM(605,613) = 370865 / 1
LCM(605,613) = 370865
Properties of LCM 605 and 613
(i) The LCM of 613 and 605 is associative
LCM of 605 and 613 = LCM of 613 and 605
Related Least Common Multiples of 605
Related Least Common Multiples of 613
Frequently Asked Questions on LCM of 605 and 613
1. What is the LCM of 605 and 613?
Answer: LCM of 605 and 613 is 370865.
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 613?
Answer: Factors of 613 are 1, 613. There are 2 integers that are factors of 613. The greatest factor of 613 is 613.
4. How to Find the LCM of 605 and 613?
Answer:
Least Common Multiple of 605 and 613 = 370865
Step 1: Find the prime factorization of 605
605 = 5 x 11 x 11
Step 2: Find the prime factorization of 613
613 = 613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 370865 = 5 x 11 x 11 x 613
Step 4: Therefore, the least common multiple of 605 and 613 is 370865.
