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 9602 the smallest integer that is 92150394 that is divisible by both numbers.
Least Common Multiple (LCM) of 9597 and 9602 is 92150394.
LCM(9597,9602) = 92150394
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 9602. First we will calculate the prime factors of 9597 and 9602.
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 9602
2 | 9602 |
4801 | 4801 |
1 |
Prime factors of 9602 are 2,4801. Prime factorization of 9602 in exponential form is:
9602 = 21×48011
Now multiplying the highest exponent prime factors to calculate the LCM of 9597 and 9602.
LCM(9597,9602) = 21×31×71×4571×48011
LCM(9597,9602) = 92150394
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 9602
List of positive integer factors of 9602 that divides 9602 without a remainder.
1, 2, 4801, 9602
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9597 and 9602, than apply into the LCM equation.
GCF(9597,9602) = 1
LCM(9597,9602) = ( 9597 × 9602) / 1
LCM(9597,9602) = 92150394 / 1
LCM(9597,9602) = 92150394
(i) The LCM of 9602 and 9597 is associative
LCM of 9597 and 9602 = LCM of 9602 and 9597
1. What is the LCM of 9597 and 9602?
Answer: LCM of 9597 and 9602 is 92150394.
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 9602?
Answer: Factors of 9602 are 1, 2, 4801, 9602. There are 4 integers that are factors of 9602. The greatest factor of 9602 is 9602.
4. How to Find the LCM of 9597 and 9602?
Answer:
Least Common Multiple of 9597 and 9602 = 92150394
Step 1: Find the prime factorization of 9597
9597 = 3 x 7 x 457
Step 2: Find the prime factorization of 9602
9602 = 2 x 4801
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92150394 = 2 x 3 x 7 x 457 x 4801
Step 4: Therefore, the least common multiple of 9597 and 9602 is 92150394.