Least Common Multiple of 595 and 597
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 595 and 597 the smallest integer that is 355215 that is divisible by both numbers.
Least Common Multiple (LCM) of 595 and 597 is 355215.
LCM(595,597) = 355215
LCM of 595 and 597
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 595 and 597 by Prime method
- Least Common Multiple of 595 and 597 with GCF Formula
LCM of 595 and 597 is 355215
Least common multiple can be found by multiplying the highest exponent prime factors of 595 and 597. First we will calculate the prime factors of 595 and 597.
Prime Factorization of 595
| 5 | 595 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 595 are 5, 7,17. Prime factorization of 595 in exponential form is:
595 = 51×71×171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 595 and 597.
LCM(595,597) = 31×51×71×171×1991
LCM(595,597) = 355215
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Least Common Multiple of 595 and 597 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 595 and 597, than apply into the LCM equation.
GCF(595,597) = 1
LCM(595,597) = ( 595 × 597) / 1
LCM(595,597) = 355215 / 1
LCM(595,597) = 355215
Properties of LCM 595 and 597
(i) The LCM of 597 and 595 is associative
LCM of 595 and 597 = LCM of 597 and 595
Related Least Common Multiples of 595
Related Least Common Multiples of 597
Frequently Asked Questions on LCM of 595 and 597
1. What is the LCM of 595 and 597?
Answer: LCM of 595 and 597 is 355215.
2. What are the Factors of 595?
Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.
3. 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.
4. How to Find the LCM of 595 and 597?
Answer:
Least Common Multiple of 595 and 597 = 355215
Step 1: Find the prime factorization of 595
595 = 5 x 7 x 17
Step 2: Find the prime factorization of 597
597 = 3 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 355215 = 3 x 5 x 7 x 17 x 199
Step 4: Therefore, the least common multiple of 595 and 597 is 355215.
