Least Common Multiple of 598 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 598 and 603 the smallest integer that is 360594 that is divisible by both numbers.
Least Common Multiple (LCM) of 598 and 603 is 360594.
LCM(598,603) = 360594
LCM of 598 and 603
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 598 and 603 by Prime method
- Least Common Multiple of 598 and 603 with GCF Formula
LCM of 598 and 603 is 360594
Least common multiple can be found by multiplying the highest exponent prime factors of 598 and 603. First we will calculate the prime factors of 598 and 603.
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 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 598 and 603.
LCM(598,603) = 21×32×131×231×671
LCM(598,603) = 360594
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 603
List of positive integer factors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Least Common Multiple of 598 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 598 and 603, than apply into the LCM equation.
GCF(598,603) = 1
LCM(598,603) = ( 598 × 603) / 1
LCM(598,603) = 360594 / 1
LCM(598,603) = 360594
Properties of LCM 598 and 603
(i) The LCM of 603 and 598 is associative
LCM of 598 and 603 = LCM of 603 and 598
Related Least Common Multiples of 598
Related Least Common Multiples of 603
Frequently Asked Questions on LCM of 598 and 603
1. What is the LCM of 598 and 603?
Answer: LCM of 598 and 603 is 360594.
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 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 598 and 603?
Answer:
Least Common Multiple of 598 and 603 = 360594
Step 1: Find the prime factorization of 598
598 = 2 x 13 x 23
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 = 360594 = 2 x 3 x 3 x 13 x 23 x 67
Step 4: Therefore, the least common multiple of 598 and 603 is 360594.
