Least Common Multiple of 8593 and 8601
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8593 and 8601 the smallest integer that is 73908393 that is divisible by both numbers.
Least Common Multiple (LCM) of 8593 and 8601 is 73908393.
LCM(8593,8601) = 73908393
LCM of 8593 and 8601
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8593 and 8601 by Prime method
- Least Common Multiple of 8593 and 8601 with GCF Formula
LCM of 8593 and 8601 is 73908393
Least common multiple can be found by multiplying the highest exponent prime factors of 8593 and 8601. First we will calculate the prime factors of 8593 and 8601.
Prime Factorization of 8593
| 13 | 8593 |
| 661 | 661 |
| 1 |
Prime factors of 8593 are 13,661. Prime factorization of 8593 in exponential form is:
8593 = 131×6611
Prime Factorization of 8601
| 3 | 8601 |
| 47 | 2867 |
| 61 | 61 |
| 1 |
Prime factors of 8601 are 3, 47,61. Prime factorization of 8601 in exponential form is:
8601 = 31×471×611
Now multiplying the highest exponent prime factors to calculate the LCM of 8593 and 8601.
LCM(8593,8601) = 31×131×471×611×6611
LCM(8593,8601) = 73908393
Factors of 8593
List of positive integer factors of 8593 that divides 8593 without a remainder.
1, 13, 661, 8593
Factors of 8601
List of positive integer factors of 8601 that divides 8601 without a remainder.
1, 3, 47, 61, 141, 183, 2867, 8601
Least Common Multiple of 8593 and 8601 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8593 and 8601, than apply into the LCM equation.
GCF(8593,8601) = 1
LCM(8593,8601) = ( 8593 × 8601) / 1
LCM(8593,8601) = 73908393 / 1
LCM(8593,8601) = 73908393
Properties of LCM 8593 and 8601
(i) The LCM of 8601 and 8593 is associative
LCM of 8593 and 8601 = LCM of 8601 and 8593
Related Least Common Multiples of 8593
Related Least Common Multiples of 8601
Frequently Asked Questions on LCM of 8593 and 8601
1. What is the LCM of 8593 and 8601?
Answer: LCM of 8593 and 8601 is 73908393.
2. What are the Factors of 8593?
Answer: Factors of 8593 are 1, 13, 661, 8593. There are 4 integers that are factors of 8593. The greatest factor of 8593 is 8593.
3. What are the Factors of 8601?
Answer: Factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601. There are 8 integers that are factors of 8601. The greatest factor of 8601 is 8601.
4. How to Find the LCM of 8593 and 8601?
Answer:
Least Common Multiple of 8593 and 8601 = 73908393
Step 1: Find the prime factorization of 8593
8593 = 13 x 661
Step 2: Find the prime factorization of 8601
8601 = 3 x 47 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73908393 = 3 x 13 x 47 x 61 x 661
Step 4: Therefore, the least common multiple of 8593 and 8601 is 73908393.