Least Common Multiple of 598 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 598 and 605 the smallest integer that is 361790 that is divisible by both numbers.
Least Common Multiple (LCM) of 598 and 605 is 361790.
LCM(598,605) = 361790
LCM of 598 and 605
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 598 and 605 by Prime method
- Least Common Multiple of 598 and 605 with GCF Formula
LCM of 598 and 605 is 361790
Least common multiple can be found by multiplying the highest exponent prime factors of 598 and 605. First we will calculate the prime factors of 598 and 605.
Prime Factorization of 598
| 2 | 598 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 598 are 2, 13,23. Prime factorization of 598 in exponential form is:
598 = 21×131×231
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 598 and 605.
LCM(598,605) = 21×51×112×131×231
LCM(598,605) = 361790
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
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 598 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 598 and 605, than apply into the LCM equation.
GCF(598,605) = 1
LCM(598,605) = ( 598 × 605) / 1
LCM(598,605) = 361790 / 1
LCM(598,605) = 361790
Properties of LCM 598 and 605
(i) The LCM of 605 and 598 is associative
LCM of 598 and 605 = LCM of 605 and 598
Related Least Common Multiples of 598
Related Least Common Multiples of 605
Frequently Asked Questions on LCM of 598 and 605
1. What is the LCM of 598 and 605?
Answer: LCM of 598 and 605 is 361790.
2. What are the Factors of 598?
Answer: Factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598. There are 8 integers that are factors of 598. The greatest factor of 598 is 598.
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 598 and 605?
Answer:
Least Common Multiple of 598 and 605 = 361790
Step 1: Find the prime factorization of 598
598 = 2 x 13 x 23
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 = 361790 = 2 x 5 x 11 x 11 x 13 x 23
Step 4: Therefore, the least common multiple of 598 and 605 is 361790.