Least Common Multiple of 8575 and 8579
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 8579 the smallest integer that is 73564925 that is divisible by both numbers.
Least Common Multiple (LCM) of 8575 and 8579 is 73564925.
LCM(8575,8579) = 73564925
LCM of 8575 and 8579
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8575 and 8579 by Prime method
- Least Common Multiple of 8575 and 8579 with GCF Formula
LCM of 8575 and 8579 is 73564925
Least common multiple can be found by multiplying the highest exponent prime factors of 8575 and 8579. First we will calculate the prime factors of 8575 and 8579.
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 8579
| 23 | 8579 |
| 373 | 373 |
| 1 |
Prime factors of 8579 are 23,373. Prime factorization of 8579 in exponential form is:
8579 = 231×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 8575 and 8579.
LCM(8575,8579) = 52×73×231×3731
LCM(8575,8579) = 73564925
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 8579
List of positive integer factors of 8579 that divides 8579 without a remainder.
1, 23, 373, 8579
Least Common Multiple of 8575 and 8579 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 8579, than apply into the LCM equation.
GCF(8575,8579) = 1
LCM(8575,8579) = ( 8575 × 8579) / 1
LCM(8575,8579) = 73564925 / 1
LCM(8575,8579) = 73564925
Properties of LCM 8575 and 8579
(i) The LCM of 8579 and 8575 is associative
LCM of 8575 and 8579 = LCM of 8579 and 8575
Related Least Common Multiples of 8575
Related Least Common Multiples of 8579
Frequently Asked Questions on LCM of 8575 and 8579
1. What is the LCM of 8575 and 8579?
Answer: LCM of 8575 and 8579 is 73564925.
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 8579?
Answer: Factors of 8579 are 1, 23, 373, 8579. There are 4 integers that are factors of 8579. The greatest factor of 8579 is 8579.
4. How to Find the LCM of 8575 and 8579?
Answer:
Least Common Multiple of 8575 and 8579 = 73564925
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 8579
8579 = 23 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73564925 = 5 x 5 x 7 x 7 x 7 x 23 x 373
Step 4: Therefore, the least common multiple of 8575 and 8579 is 73564925.