Least Common Multiple of 597 and 605
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 597 and 605 the smallest integer that is 361185 that is divisible by both numbers.
Least Common Multiple (LCM) of 597 and 605 is 361185.
LCM(597,605) = 361185
LCM of 597 and 605
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 597 and 605 by Prime method
- Least Common Multiple of 597 and 605 with GCF Formula
LCM of 597 and 605 is 361185
Least common multiple can be found by multiplying the highest exponent prime factors of 597 and 605. First we will calculate the prime factors of 597 and 605.
Prime Factorization of 597
| 3 | 597 |
| 199 | 199 |
| 1 |
Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:
597 = 31×1991
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
Now multiplying the highest exponent prime factors to calculate the LCM of 597 and 605.
LCM(597,605) = 31×51×112×1991
LCM(597,605) = 361185
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Least Common Multiple of 597 and 605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 597 and 605, than apply into the LCM equation.
GCF(597,605) = 1
LCM(597,605) = ( 597 × 605) / 1
LCM(597,605) = 361185 / 1
LCM(597,605) = 361185
Properties of LCM 597 and 605
(i) The LCM of 605 and 597 is associative
LCM of 597 and 605 = LCM of 605 and 597
Related Least Common Multiples of 597
Related Least Common Multiples of 605
Frequently Asked Questions on LCM of 597 and 605
1. What is the LCM of 597 and 605?
Answer: LCM of 597 and 605 is 361185.
2. What are the Factors of 597?
Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.
3. 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.
4. How to Find the LCM of 597 and 605?
Answer:
Least Common Multiple of 597 and 605 = 361185
Step 1: Find the prime factorization of 597
597 = 3 x 199
Step 2: Find the prime factorization of 605
605 = 5 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 361185 = 3 x 5 x 11 x 11 x 199
Step 4: Therefore, the least common multiple of 597 and 605 is 361185.