Least Common Multiple of 4575 and 4582
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4575 and 4582 the smallest integer that is 20962650 that is divisible by both numbers.
Least Common Multiple (LCM) of 4575 and 4582 is 20962650.
LCM(4575,4582) = 20962650
LCM of 4575 and 4582
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4575 and 4582 by Prime method
- Least Common Multiple of 4575 and 4582 with GCF Formula
LCM of 4575 and 4582 is 20962650
Least common multiple can be found by multiplying the highest exponent prime factors of 4575 and 4582. First we will calculate the prime factors of 4575 and 4582.
Prime Factorization of 4575
| 3 | 4575 |
| 5 | 1525 |
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 4575 are 3, 5,61. Prime factorization of 4575 in exponential form is:
4575 = 31×52×611
Prime Factorization of 4582
| 2 | 4582 |
| 29 | 2291 |
| 79 | 79 |
| 1 |
Prime factors of 4582 are 2, 29,79. Prime factorization of 4582 in exponential form is:
4582 = 21×291×791
Now multiplying the highest exponent prime factors to calculate the LCM of 4575 and 4582.
LCM(4575,4582) = 21×31×52×291×611×791
LCM(4575,4582) = 20962650
Factors of 4575
List of positive integer factors of 4575 that divides 4575 without a remainder.
1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575
Factors of 4582
List of positive integer factors of 4582 that divides 4582 without a remainder.
1, 2, 29, 58, 79, 158, 2291, 4582
Least Common Multiple of 4575 and 4582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4575 and 4582, than apply into the LCM equation.
GCF(4575,4582) = 1
LCM(4575,4582) = ( 4575 × 4582) / 1
LCM(4575,4582) = 20962650 / 1
LCM(4575,4582) = 20962650
Properties of LCM 4575 and 4582
(i) The LCM of 4582 and 4575 is associative
LCM of 4575 and 4582 = LCM of 4582 and 4575
Related Least Common Multiples of 4575
Related Least Common Multiples of 4582
Frequently Asked Questions on LCM of 4575 and 4582
1. What is the LCM of 4575 and 4582?
Answer: LCM of 4575 and 4582 is 20962650.
2. What are the Factors of 4575?
Answer: Factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575. There are 12 integers that are factors of 4575. The greatest factor of 4575 is 4575.
3. What are the Factors of 4582?
Answer: Factors of 4582 are 1, 2, 29, 58, 79, 158, 2291, 4582. There are 8 integers that are factors of 4582. The greatest factor of 4582 is 4582.
4. How to Find the LCM of 4575 and 4582?
Answer:
Least Common Multiple of 4575 and 4582 = 20962650
Step 1: Find the prime factorization of 4575
4575 = 3 x 5 x 5 x 61
Step 2: Find the prime factorization of 4582
4582 = 2 x 29 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20962650 = 2 x 3 x 5 x 5 x 29 x 61 x 79
Step 4: Therefore, the least common multiple of 4575 and 4582 is 20962650.