Least Common Multiple of 8575 and 8583
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8575 and 8583 the smallest integer that is 73599225 that is divisible by both numbers.
Least Common Multiple (LCM) of 8575 and 8583 is 73599225.
LCM(8575,8583) = 73599225
LCM of 8575 and 8583
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8575 and 8583 by Prime method
- Least Common Multiple of 8575 and 8583 with GCF Formula
LCM of 8575 and 8583 is 73599225
Least common multiple can be found by multiplying the highest exponent prime factors of 8575 and 8583. First we will calculate the prime factors of 8575 and 8583.
Prime Factorization of 8575
| 5 | 8575 |
| 5 | 1715 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 8575 are 5,7. Prime factorization of 8575 in exponential form is:
8575 = 52×73
Prime Factorization of 8583
| 3 | 8583 |
| 2861 | 2861 |
| 1 |
Prime factors of 8583 are 3,2861. Prime factorization of 8583 in exponential form is:
8583 = 31×28611
Now multiplying the highest exponent prime factors to calculate the LCM of 8575 and 8583.
LCM(8575,8583) = 31×52×73×28611
LCM(8575,8583) = 73599225
Factors of 8575
List of positive integer factors of 8575 that divides 8575 without a remainder.
1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575
Factors of 8583
List of positive integer factors of 8583 that divides 8583 without a remainder.
1, 3, 2861, 8583
Least Common Multiple of 8575 and 8583 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8575 and 8583, than apply into the LCM equation.
GCF(8575,8583) = 1
LCM(8575,8583) = ( 8575 × 8583) / 1
LCM(8575,8583) = 73599225 / 1
LCM(8575,8583) = 73599225
Properties of LCM 8575 and 8583
(i) The LCM of 8583 and 8575 is associative
LCM of 8575 and 8583 = LCM of 8583 and 8575
Related Least Common Multiples of 8575
Related Least Common Multiples of 8583
Frequently Asked Questions on LCM of 8575 and 8583
1. What is the LCM of 8575 and 8583?
Answer: LCM of 8575 and 8583 is 73599225.
2. What are the Factors of 8575?
Answer: Factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575. There are 12 integers that are factors of 8575. The greatest factor of 8575 is 8575.
3. What are the Factors of 8583?
Answer: Factors of 8583 are 1, 3, 2861, 8583. There are 4 integers that are factors of 8583. The greatest factor of 8583 is 8583.
4. How to Find the LCM of 8575 and 8583?
Answer:
Least Common Multiple of 8575 and 8583 = 73599225
Step 1: Find the prime factorization of 8575
8575 = 5 x 5 x 7 x 7 x 7
Step 2: Find the prime factorization of 8583
8583 = 3 x 2861
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73599225 = 3 x 5 x 5 x 7 x 7 x 7 x 2861
Step 4: Therefore, the least common multiple of 8575 and 8583 is 73599225.