Least Common Multiple of 4531 and 4539
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4531 and 4539 the smallest integer that is 20566209 that is divisible by both numbers.
Least Common Multiple (LCM) of 4531 and 4539 is 20566209.
LCM(4531,4539) = 20566209
LCM of 4531 and 4539
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4531 and 4539 by Prime method
- Least Common Multiple of 4531 and 4539 with GCF Formula
LCM of 4531 and 4539 is 20566209
Least common multiple can be found by multiplying the highest exponent prime factors of 4531 and 4539. First we will calculate the prime factors of 4531 and 4539.
Prime Factorization of 4531
| 23 | 4531 |
| 197 | 197 |
| 1 |
Prime factors of 4531 are 23,197. Prime factorization of 4531 in exponential form is:
4531 = 231×1971
Prime Factorization of 4539
| 3 | 4539 |
| 17 | 1513 |
| 89 | 89 |
| 1 |
Prime factors of 4539 are 3, 17,89. Prime factorization of 4539 in exponential form is:
4539 = 31×171×891
Now multiplying the highest exponent prime factors to calculate the LCM of 4531 and 4539.
LCM(4531,4539) = 31×171×231×891×1971
LCM(4531,4539) = 20566209
Factors of 4531
List of positive integer factors of 4531 that divides 4531 without a remainder.
1, 23, 197, 4531
Factors of 4539
List of positive integer factors of 4539 that divides 4539 without a remainder.
1, 3, 17, 51, 89, 267, 1513, 4539
Least Common Multiple of 4531 and 4539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4531 and 4539, than apply into the LCM equation.
GCF(4531,4539) = 1
LCM(4531,4539) = ( 4531 × 4539) / 1
LCM(4531,4539) = 20566209 / 1
LCM(4531,4539) = 20566209
Properties of LCM 4531 and 4539
(i) The LCM of 4539 and 4531 is associative
LCM of 4531 and 4539 = LCM of 4539 and 4531
Related Least Common Multiples of 4531
Related Least Common Multiples of 4539
Frequently Asked Questions on LCM of 4531 and 4539
1. What is the LCM of 4531 and 4539?
Answer: LCM of 4531 and 4539 is 20566209.
2. What are the Factors of 4531?
Answer: Factors of 4531 are 1, 23, 197, 4531. There are 4 integers that are factors of 4531. The greatest factor of 4531 is 4531.
3. What are the Factors of 4539?
Answer: Factors of 4539 are 1, 3, 17, 51, 89, 267, 1513, 4539. There are 8 integers that are factors of 4539. The greatest factor of 4539 is 4539.
4. How to Find the LCM of 4531 and 4539?
Answer:
Least Common Multiple of 4531 and 4539 = 20566209
Step 1: Find the prime factorization of 4531
4531 = 23 x 197
Step 2: Find the prime factorization of 4539
4539 = 3 x 17 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20566209 = 3 x 17 x 23 x 89 x 197
Step 4: Therefore, the least common multiple of 4531 and 4539 is 20566209.