Least Common Multiple of 4577 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 4577 and 4582 the smallest integer that is 20971814 that is divisible by both numbers.
Least Common Multiple (LCM) of 4577 and 4582 is 20971814.
LCM(4577,4582) = 20971814
LCM of 4577 and 4582
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4577 and 4582 by Prime method
- Least Common Multiple of 4577 and 4582 with GCF Formula
LCM of 4577 and 4582 is 20971814
Least common multiple can be found by multiplying the highest exponent prime factors of 4577 and 4582. First we will calculate the prime factors of 4577 and 4582.
Prime Factorization of 4577
| 23 | 4577 |
| 199 | 199 |
| 1 |
Prime factors of 4577 are 23,199. Prime factorization of 4577 in exponential form is:
4577 = 231×1991
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 4577 and 4582.
LCM(4577,4582) = 21×231×291×791×1991
LCM(4577,4582) = 20971814
Factors of 4577
List of positive integer factors of 4577 that divides 4577 without a remainder.
1, 23, 199, 4577
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 4577 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 4577 and 4582, than apply into the LCM equation.
GCF(4577,4582) = 1
LCM(4577,4582) = ( 4577 × 4582) / 1
LCM(4577,4582) = 20971814 / 1
LCM(4577,4582) = 20971814
Properties of LCM 4577 and 4582
(i) The LCM of 4582 and 4577 is associative
LCM of 4577 and 4582 = LCM of 4582 and 4577
Related Least Common Multiples of 4577
Related Least Common Multiples of 4582
Frequently Asked Questions on LCM of 4577 and 4582
1. What is the LCM of 4577 and 4582?
Answer: LCM of 4577 and 4582 is 20971814.
2. What are the Factors of 4577?
Answer: Factors of 4577 are 1, 23, 199, 4577. There are 4 integers that are factors of 4577. The greatest factor of 4577 is 4577.
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 4577 and 4582?
Answer:
Least Common Multiple of 4577 and 4582 = 20971814
Step 1: Find the prime factorization of 4577
4577 = 23 x 199
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 = 20971814 = 2 x 23 x 29 x 79 x 199
Step 4: Therefore, the least common multiple of 4577 and 4582 is 20971814.