Least Common Multiple of 9587 and 9594
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9587 and 9594 the smallest integer that is 91977678 that is divisible by both numbers.
Least Common Multiple (LCM) of 9587 and 9594 is 91977678.
LCM(9587,9594) = 91977678
LCM of 9587 and 9594
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9587 and 9594 by Prime method
- Least Common Multiple of 9587 and 9594 with GCF Formula
LCM of 9587 and 9594 is 91977678
Least common multiple can be found by multiplying the highest exponent prime factors of 9587 and 9594. First we will calculate the prime factors of 9587 and 9594.
Prime Factorization of 9587
| 9587 | 9587 |
| 1 |
Prime factors of 9587 are 9587. Prime factorization of 9587 in exponential form is:
9587 = 95871
Prime Factorization of 9594
| 2 | 9594 |
| 3 | 4797 |
| 3 | 1599 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 9594 are 2, 3, 13,41. Prime factorization of 9594 in exponential form is:
9594 = 21×32×131×411
Now multiplying the highest exponent prime factors to calculate the LCM of 9587 and 9594.
LCM(9587,9594) = 21×32×131×411×95871
LCM(9587,9594) = 91977678
Factors of 9587
List of positive integer factors of 9587 that divides 9587 without a remainder.
1, 9587
Factors of 9594
List of positive integer factors of 9594 that divides 9594 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594
Least Common Multiple of 9587 and 9594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9587 and 9594, than apply into the LCM equation.
GCF(9587,9594) = 1
LCM(9587,9594) = ( 9587 × 9594) / 1
LCM(9587,9594) = 91977678 / 1
LCM(9587,9594) = 91977678
Properties of LCM 9587 and 9594
(i) The LCM of 9594 and 9587 is associative
LCM of 9587 and 9594 = LCM of 9594 and 9587
Related Least Common Multiples of 9587
Related Least Common Multiples of 9594
Frequently Asked Questions on LCM of 9587 and 9594
1. What is the LCM of 9587 and 9594?
Answer: LCM of 9587 and 9594 is 91977678.
2. What are the Factors of 9587?
Answer: Factors of 9587 are 1, 9587. There are 2 integers that are factors of 9587. The greatest factor of 9587 is 9587.
3. What are the Factors of 9594?
Answer: Factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594. There are 24 integers that are factors of 9594. The greatest factor of 9594 is 9594.
4. How to Find the LCM of 9587 and 9594?
Answer:
Least Common Multiple of 9587 and 9594 = 91977678
Step 1: Find the prime factorization of 9587
9587 = 9587
Step 2: Find the prime factorization of 9594
9594 = 2 x 3 x 3 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91977678 = 2 x 3 x 3 x 13 x 41 x 9587
Step 4: Therefore, the least common multiple of 9587 and 9594 is 91977678.