Least Common Multiple of 9603 and 9607
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9603 and 9607 the smallest integer that is 92256021 that is divisible by both numbers.
Least Common Multiple (LCM) of 9603 and 9607 is 92256021.
LCM(9603,9607) = 92256021
LCM of 9603 and 9607
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9603 and 9607 by Prime method
- Least Common Multiple of 9603 and 9607 with GCF Formula
LCM of 9603 and 9607 is 92256021
Least common multiple can be found by multiplying the highest exponent prime factors of 9603 and 9607. First we will calculate the prime factors of 9603 and 9607.
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
Prime Factorization of 9607
| 13 | 9607 |
| 739 | 739 |
| 1 |
Prime factors of 9607 are 13,739. Prime factorization of 9607 in exponential form is:
9607 = 131×7391
Now multiplying the highest exponent prime factors to calculate the LCM of 9603 and 9607.
LCM(9603,9607) = 32×111×131×971×7391
LCM(9603,9607) = 92256021
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
Factors of 9607
List of positive integer factors of 9607 that divides 9607 without a remainder.
1, 13, 739, 9607
Least Common Multiple of 9603 and 9607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9603 and 9607, than apply into the LCM equation.
GCF(9603,9607) = 1
LCM(9603,9607) = ( 9603 × 9607) / 1
LCM(9603,9607) = 92256021 / 1
LCM(9603,9607) = 92256021
Properties of LCM 9603 and 9607
(i) The LCM of 9607 and 9603 is associative
LCM of 9603 and 9607 = LCM of 9607 and 9603
Related Least Common Multiples of 9603
Related Least Common Multiples of 9607
Frequently Asked Questions on LCM of 9603 and 9607
1. What is the LCM of 9603 and 9607?
Answer: LCM of 9603 and 9607 is 92256021.
2. 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.
3. What are the Factors of 9607?
Answer: Factors of 9607 are 1, 13, 739, 9607. There are 4 integers that are factors of 9607. The greatest factor of 9607 is 9607.
4. How to Find the LCM of 9603 and 9607?
Answer:
Least Common Multiple of 9603 and 9607 = 92256021
Step 1: Find the prime factorization of 9603
9603 = 3 x 3 x 11 x 97
Step 2: Find the prime factorization of 9607
9607 = 13 x 739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92256021 = 3 x 3 x 11 x 13 x 97 x 739
Step 4: Therefore, the least common multiple of 9603 and 9607 is 92256021.