Least Common Multiple of 595 and 602
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 602 the smallest integer that is 51170 that is divisible by both numbers.
Least Common Multiple (LCM) of 595 and 602 is 51170.
LCM(595,602) = 51170
LCM of 595 and 602
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 595 and 602 by Prime method
- Least Common Multiple of 595 and 602 with GCF Formula
LCM of 595 and 602 is 51170
Least common multiple can be found by multiplying the highest exponent prime factors of 595 and 602. First we will calculate the prime factors of 595 and 602.
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 602
| 2 | 602 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 602 are 2, 7,43. Prime factorization of 602 in exponential form is:
602 = 21×71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 595 and 602.
LCM(595,602) = 21×51×71×171×431
LCM(595,602) = 51170
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 602
List of positive integer factors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Least Common Multiple of 595 and 602 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 602, than apply into the LCM equation.
GCF(595,602) = 7
LCM(595,602) = ( 595 × 602) / 7
LCM(595,602) = 358190 / 7
LCM(595,602) = 51170
Properties of LCM 595 and 602
(i) The LCM of 602 and 595 is associative
LCM of 595 and 602 = LCM of 602 and 595
Related Least Common Multiples of 595
Related Least Common Multiples of 602
Frequently Asked Questions on LCM of 595 and 602
1. What is the LCM of 595 and 602?
Answer: LCM of 595 and 602 is 51170.
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 602?
Answer: Factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602. There are 8 integers that are factors of 602. The greatest factor of 602 is 602.
4. How to Find the LCM of 595 and 602?
Answer:
Least Common Multiple of 595 and 602 = 51170
Step 1: Find the prime factorization of 595
595 = 5 x 7 x 17
Step 2: Find the prime factorization of 602
602 = 2 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51170 = 2 x 5 x 7 x 17 x 43
Step 4: Therefore, the least common multiple of 595 and 602 is 51170.