Least Common Multiple of 4566 and 4573
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4566 and 4573 the smallest integer that is 20880318 that is divisible by both numbers.
Least Common Multiple (LCM) of 4566 and 4573 is 20880318.
LCM(4566,4573) = 20880318
LCM of 4566 and 4573
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4566 and 4573 by Prime method
- Least Common Multiple of 4566 and 4573 with GCF Formula
LCM of 4566 and 4573 is 20880318
Least common multiple can be found by multiplying the highest exponent prime factors of 4566 and 4573. First we will calculate the prime factors of 4566 and 4573.
Prime Factorization of 4566
| 2 | 4566 |
| 3 | 2283 |
| 761 | 761 |
| 1 |
Prime factors of 4566 are 2, 3,761. Prime factorization of 4566 in exponential form is:
4566 = 21×31×7611
Prime Factorization of 4573
| 17 | 4573 |
| 269 | 269 |
| 1 |
Prime factors of 4573 are 17,269. Prime factorization of 4573 in exponential form is:
4573 = 171×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 4566 and 4573.
LCM(4566,4573) = 21×31×171×2691×7611
LCM(4566,4573) = 20880318
Factors of 4566
List of positive integer factors of 4566 that divides 4566 without a remainder.
1, 2, 3, 6, 761, 1522, 2283, 4566
Factors of 4573
List of positive integer factors of 4573 that divides 4573 without a remainder.
1, 17, 269, 4573
Least Common Multiple of 4566 and 4573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4566 and 4573, than apply into the LCM equation.
GCF(4566,4573) = 1
LCM(4566,4573) = ( 4566 × 4573) / 1
LCM(4566,4573) = 20880318 / 1
LCM(4566,4573) = 20880318
Properties of LCM 4566 and 4573
(i) The LCM of 4573 and 4566 is associative
LCM of 4566 and 4573 = LCM of 4573 and 4566
Related Least Common Multiples of 4566
Related Least Common Multiples of 4573
Frequently Asked Questions on LCM of 4566 and 4573
1. What is the LCM of 4566 and 4573?
Answer: LCM of 4566 and 4573 is 20880318.
2. What are the Factors of 4566?
Answer: Factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566. There are 8 integers that are factors of 4566. The greatest factor of 4566 is 4566.
3. What are the Factors of 4573?
Answer: Factors of 4573 are 1, 17, 269, 4573. There are 4 integers that are factors of 4573. The greatest factor of 4573 is 4573.
4. How to Find the LCM of 4566 and 4573?
Answer:
Least Common Multiple of 4566 and 4573 = 20880318
Step 1: Find the prime factorization of 4566
4566 = 2 x 3 x 761
Step 2: Find the prime factorization of 4573
4573 = 17 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20880318 = 2 x 3 x 17 x 269 x 761
Step 4: Therefore, the least common multiple of 4566 and 4573 is 20880318.