Least Common Multiple of 9598 and 9603
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9598 and 9603 the smallest integer that is 92169594 that is divisible by both numbers.
Least Common Multiple (LCM) of 9598 and 9603 is 92169594.
LCM(9598,9603) = 92169594
LCM of 9598 and 9603
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9598 and 9603 by Prime method
- Least Common Multiple of 9598 and 9603 with GCF Formula
LCM of 9598 and 9603 is 92169594
Least common multiple can be found by multiplying the highest exponent prime factors of 9598 and 9603. First we will calculate the prime factors of 9598 and 9603.
Prime Factorization of 9598
| 2 | 9598 |
| 4799 | 4799 |
| 1 |
Prime factors of 9598 are 2,4799. Prime factorization of 9598 in exponential form is:
9598 = 21×47991
Prime Factorization of 9603
| 3 | 9603 |
| 3 | 3201 |
| 11 | 1067 |
| 97 | 97 |
| 1 |
Prime factors of 9603 are 3, 11,97. Prime factorization of 9603 in exponential form is:
9603 = 32×111×971
Now multiplying the highest exponent prime factors to calculate the LCM of 9598 and 9603.
LCM(9598,9603) = 21×32×111×971×47991
LCM(9598,9603) = 92169594
Factors of 9598
List of positive integer factors of 9598 that divides 9598 without a remainder.
1, 2, 4799, 9598
Factors of 9603
List of positive integer factors of 9603 that divides 9603 without a remainder.
1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603
Least Common Multiple of 9598 and 9603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9598 and 9603, than apply into the LCM equation.
GCF(9598,9603) = 1
LCM(9598,9603) = ( 9598 × 9603) / 1
LCM(9598,9603) = 92169594 / 1
LCM(9598,9603) = 92169594
Properties of LCM 9598 and 9603
(i) The LCM of 9603 and 9598 is associative
LCM of 9598 and 9603 = LCM of 9603 and 9598
Related Least Common Multiples of 9598
Related Least Common Multiples of 9603
Frequently Asked Questions on LCM of 9598 and 9603
1. What is the LCM of 9598 and 9603?
Answer: LCM of 9598 and 9603 is 92169594.
2. What are the Factors of 9598?
Answer: Factors of 9598 are 1, 2, 4799, 9598. There are 4 integers that are factors of 9598. The greatest factor of 9598 is 9598.
3. What are the Factors of 9603?
Answer: Factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603. There are 12 integers that are factors of 9603. The greatest factor of 9603 is 9603.
4. How to Find the LCM of 9598 and 9603?
Answer:
Least Common Multiple of 9598 and 9603 = 92169594
Step 1: Find the prime factorization of 9598
9598 = 2 x 4799
Step 2: Find the prime factorization of 9603
9603 = 3 x 3 x 11 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92169594 = 2 x 3 x 3 x 11 x 97 x 4799
Step 4: Therefore, the least common multiple of 9598 and 9603 is 92169594.