Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9588 and 9596 the smallest integer that is 23001612 that is divisible by both numbers.
Least Common Multiple (LCM) of 9588 and 9596 is 23001612.
LCM(9588,9596) = 23001612
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 9588 and 9596. First we will calculate the prime factors of 9588 and 9596.
Prime Factorization of 9588
2 | 9588 |
2 | 4794 |
3 | 2397 |
17 | 799 |
47 | 47 |
1 |
Prime factors of 9588 are 2, 3, 17,47. Prime factorization of 9588 in exponential form is:
9588 = 22×31×171×471
Prime Factorization of 9596
2 | 9596 |
2 | 4798 |
2399 | 2399 |
1 |
Prime factors of 9596 are 2,2399. Prime factorization of 9596 in exponential form is:
9596 = 22×23991
Now multiplying the highest exponent prime factors to calculate the LCM of 9588 and 9596.
LCM(9588,9596) = 22×31×171×471×23991
LCM(9588,9596) = 23001612
Factors of 9588
List of positive integer factors of 9588 that divides 9588 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588
Factors of 9596
List of positive integer factors of 9596 that divides 9596 without a remainder.
1, 2, 4, 2399, 4798, 9596
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9588 and 9596, than apply into the LCM equation.
GCF(9588,9596) = 4
LCM(9588,9596) = ( 9588 × 9596) / 4
LCM(9588,9596) = 92006448 / 4
LCM(9588,9596) = 23001612
(i) The LCM of 9596 and 9588 is associative
LCM of 9588 and 9596 = LCM of 9596 and 9588
1. What is the LCM of 9588 and 9596?
Answer: LCM of 9588 and 9596 is 23001612.
2. What are the Factors of 9588?
Answer: Factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588. There are 24 integers that are factors of 9588. The greatest factor of 9588 is 9588.
3. What are the Factors of 9596?
Answer: Factors of 9596 are 1, 2, 4, 2399, 4798, 9596. There are 6 integers that are factors of 9596. The greatest factor of 9596 is 9596.
4. How to Find the LCM of 9588 and 9596?
Answer:
Least Common Multiple of 9588 and 9596 = 23001612
Step 1: Find the prime factorization of 9588
9588 = 2 x 2 x 3 x 17 x 47
Step 2: Find the prime factorization of 9596
9596 = 2 x 2 x 2399
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23001612 = 2 x 2 x 3 x 17 x 47 x 2399
Step 4: Therefore, the least common multiple of 9588 and 9596 is 23001612.