Least Common Multiple of 591 and 598
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 591 and 598 the smallest integer that is 353418 that is divisible by both numbers.
Least Common Multiple (LCM) of 591 and 598 is 353418.
LCM(591,598) = 353418
LCM of 591 and 598
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 591 and 598 by Prime method
- Least Common Multiple of 591 and 598 with GCF Formula
LCM of 591 and 598 is 353418
Least common multiple can be found by multiplying the highest exponent prime factors of 591 and 598. First we will calculate the prime factors of 591 and 598.
Prime Factorization of 591
| 3 | 591 |
| 197 | 197 |
| 1 |
Prime factors of 591 are 3,197. Prime factorization of 591 in exponential form is:
591 = 31×1971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 591 and 598.
LCM(591,598) = 21×31×131×231×1971
LCM(591,598) = 353418
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Least Common Multiple of 591 and 598 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 591 and 598, than apply into the LCM equation.
GCF(591,598) = 1
LCM(591,598) = ( 591 × 598) / 1
LCM(591,598) = 353418 / 1
LCM(591,598) = 353418
Properties of LCM 591 and 598
(i) The LCM of 598 and 591 is associative
LCM of 591 and 598 = LCM of 598 and 591
Related Least Common Multiples of 591
Related Least Common Multiples of 598
Frequently Asked Questions on LCM of 591 and 598
1. What is the LCM of 591 and 598?
Answer: LCM of 591 and 598 is 353418.
2. What are the Factors of 591?
Answer: Factors of 591 are 1, 3, 197, 591. There are 4 integers that are factors of 591. The greatest factor of 591 is 591.
3. 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.
4. How to Find the LCM of 591 and 598?
Answer:
Least Common Multiple of 591 and 598 = 353418
Step 1: Find the prime factorization of 591
591 = 3 x 197
Step 2: Find the prime factorization of 598
598 = 2 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 353418 = 2 x 3 x 13 x 23 x 197
Step 4: Therefore, the least common multiple of 591 and 598 is 353418.
