Least Common Multiple of 595 and 603
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 603 the smallest integer that is 358785 that is divisible by both numbers.
Least Common Multiple (LCM) of 595 and 603 is 358785.
LCM(595,603) = 358785
LCM of 595 and 603
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 595 and 603 by Prime method
- Least Common Multiple of 595 and 603 with GCF Formula
LCM of 595 and 603 is 358785
Least common multiple can be found by multiplying the highest exponent prime factors of 595 and 603. First we will calculate the prime factors of 595 and 603.
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 603
| 3 | 603 |
| 3 | 201 |
| 67 | 67 |
| 1 |
Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:
603 = 32×671
Now multiplying the highest exponent prime factors to calculate the LCM of 595 and 603.
LCM(595,603) = 32×51×71×171×671
LCM(595,603) = 358785
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 603
List of positive integer factors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Least Common Multiple of 595 and 603 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 603, than apply into the LCM equation.
GCF(595,603) = 1
LCM(595,603) = ( 595 × 603) / 1
LCM(595,603) = 358785 / 1
LCM(595,603) = 358785
Properties of LCM 595 and 603
(i) The LCM of 603 and 595 is associative
LCM of 595 and 603 = LCM of 603 and 595
Related Least Common Multiples of 595
Related Least Common Multiples of 603
Frequently Asked Questions on LCM of 595 and 603
1. What is the LCM of 595 and 603?
Answer: LCM of 595 and 603 is 358785.
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 603?
Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.
4. How to Find the LCM of 595 and 603?
Answer:
Least Common Multiple of 595 and 603 = 358785
Step 1: Find the prime factorization of 595
595 = 5 x 7 x 17
Step 2: Find the prime factorization of 603
603 = 3 x 3 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 358785 = 3 x 3 x 5 x 7 x 17 x 67
Step 4: Therefore, the least common multiple of 595 and 603 is 358785.