Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9597 and 9604 the smallest integer that is 13167084 that is divisible by both numbers.
Least Common Multiple (LCM) of 9597 and 9604 is 13167084.
LCM(9597,9604) = 13167084
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9597 and 9604. First we will calculate the prime factors of 9597 and 9604.
Prime Factorization of 9597
3 | 9597 |
7 | 3199 |
457 | 457 |
1 |
Prime factors of 9597 are 3, 7,457. Prime factorization of 9597 in exponential form is:
9597 = 31×71×4571
Prime Factorization of 9604
2 | 9604 |
2 | 4802 |
7 | 2401 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:
9604 = 22×74
Now multiplying the highest exponent prime factors to calculate the LCM of 9597 and 9604.
LCM(9597,9604) = 22×31×74×4571
LCM(9597,9604) = 13167084
Factors of 9597
List of positive integer factors of 9597 that divides 9597 without a remainder.
1, 3, 7, 21, 457, 1371, 3199, 9597
Factors of 9604
List of positive integer factors of 9604 that divides 9604 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9597 and 9604, than apply into the LCM equation.
GCF(9597,9604) = 7
LCM(9597,9604) = ( 9597 × 9604) / 7
LCM(9597,9604) = 92169588 / 7
LCM(9597,9604) = 13167084
(i) The LCM of 9604 and 9597 is associative
LCM of 9597 and 9604 = LCM of 9604 and 9597
1. What is the LCM of 9597 and 9604?
Answer: LCM of 9597 and 9604 is 13167084.
2. What are the Factors of 9597?
Answer: Factors of 9597 are 1, 3, 7, 21, 457, 1371, 3199, 9597. There are 8 integers that are factors of 9597. The greatest factor of 9597 is 9597.
3. What are the Factors of 9604?
Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.
4. How to Find the LCM of 9597 and 9604?
Answer:
Least Common Multiple of 9597 and 9604 = 13167084
Step 1: Find the prime factorization of 9597
9597 = 3 x 7 x 457
Step 2: Find the prime factorization of 9604
9604 = 2 x 2 x 7 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13167084 = 2 x 2 x 3 x 7 x 7 x 7 x 7 x 457
Step 4: Therefore, the least common multiple of 9597 and 9604 is 13167084.