Least Common Multiple of 602 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 602 and 605 the smallest integer that is 364210 that is divisible by both numbers.
Least Common Multiple (LCM) of 602 and 605 is 364210.
LCM(602,605) = 364210
LCM of 602 and 605
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 602 and 605 by Prime method
- Least Common Multiple of 602 and 605 with GCF Formula
LCM of 602 and 605 is 364210
Least common multiple can be found by multiplying the highest exponent prime factors of 602 and 605. First we will calculate the prime factors of 602 and 605.
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
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 602 and 605.
LCM(602,605) = 21×51×71×112×431
LCM(602,605) = 364210
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
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 602 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 602 and 605, than apply into the LCM equation.
GCF(602,605) = 1
LCM(602,605) = ( 602 × 605) / 1
LCM(602,605) = 364210 / 1
LCM(602,605) = 364210
Properties of LCM 602 and 605
(i) The LCM of 605 and 602 is associative
LCM of 602 and 605 = LCM of 605 and 602
Related Least Common Multiples of 602
Related Least Common Multiples of 605
Frequently Asked Questions on LCM of 602 and 605
1. What is the LCM of 602 and 605?
Answer: LCM of 602 and 605 is 364210.
2. 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.
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 602 and 605?
Answer:
Least Common Multiple of 602 and 605 = 364210
Step 1: Find the prime factorization of 602
602 = 2 x 7 x 43
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 = 364210 = 2 x 5 x 7 x 11 x 11 x 43
Step 4: Therefore, the least common multiple of 602 and 605 is 364210.