Least Common Multiple of 9603 and 9611
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 9611 the smallest integer that is 92294433 that is divisible by both numbers.
Least Common Multiple (LCM) of 9603 and 9611 is 92294433.
LCM(9603,9611) = 92294433
LCM of 9603 and 9611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9603 and 9611 by Prime method
- Least Common Multiple of 9603 and 9611 with GCF Formula
LCM of 9603 and 9611 is 92294433
Least common multiple can be found by multiplying the highest exponent prime factors of 9603 and 9611. First we will calculate the prime factors of 9603 and 9611.
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 9611
| 7 | 9611 |
| 1373 | 1373 |
| 1 |
Prime factors of 9611 are 7,1373. Prime factorization of 9611 in exponential form is:
9611 = 71×13731
Now multiplying the highest exponent prime factors to calculate the LCM of 9603 and 9611.
LCM(9603,9611) = 32×71×111×971×13731
LCM(9603,9611) = 92294433
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 9611
List of positive integer factors of 9611 that divides 9611 without a remainder.
1, 7, 1373, 9611
Least Common Multiple of 9603 and 9611 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 9611, than apply into the LCM equation.
GCF(9603,9611) = 1
LCM(9603,9611) = ( 9603 × 9611) / 1
LCM(9603,9611) = 92294433 / 1
LCM(9603,9611) = 92294433
Properties of LCM 9603 and 9611
(i) The LCM of 9611 and 9603 is associative
LCM of 9603 and 9611 = LCM of 9611 and 9603
Related Least Common Multiples of 9603
Related Least Common Multiples of 9611
Frequently Asked Questions on LCM of 9603 and 9611
1. What is the LCM of 9603 and 9611?
Answer: LCM of 9603 and 9611 is 92294433.
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 9611?
Answer: Factors of 9611 are 1, 7, 1373, 9611. There are 4 integers that are factors of 9611. The greatest factor of 9611 is 9611.
4. How to Find the LCM of 9603 and 9611?
Answer:
Least Common Multiple of 9603 and 9611 = 92294433
Step 1: Find the prime factorization of 9603
9603 = 3 x 3 x 11 x 97
Step 2: Find the prime factorization of 9611
9611 = 7 x 1373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92294433 = 3 x 3 x 7 x 11 x 97 x 1373
Step 4: Therefore, the least common multiple of 9603 and 9611 is 92294433.