Least Common Multiple of 4531 and 4537
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 4537 the smallest integer that is 20557147 that is divisible by both numbers.
Least Common Multiple (LCM) of 4531 and 4537 is 20557147.
LCM(4531,4537) = 20557147
LCM of 4531 and 4537
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4531 and 4537 by Prime method
- Least Common Multiple of 4531 and 4537 with GCF Formula
LCM of 4531 and 4537 is 20557147
Least common multiple can be found by multiplying the highest exponent prime factors of 4531 and 4537. First we will calculate the prime factors of 4531 and 4537.
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 4537
| 13 | 4537 |
| 349 | 349 |
| 1 |
Prime factors of 4537 are 13,349. Prime factorization of 4537 in exponential form is:
4537 = 131×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 4531 and 4537.
LCM(4531,4537) = 131×231×1971×3491
LCM(4531,4537) = 20557147
Factors of 4531
List of positive integer factors of 4531 that divides 4531 without a remainder.
1, 23, 197, 4531
Factors of 4537
List of positive integer factors of 4537 that divides 4537 without a remainder.
1, 13, 349, 4537
Least Common Multiple of 4531 and 4537 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 4537, than apply into the LCM equation.
GCF(4531,4537) = 1
LCM(4531,4537) = ( 4531 × 4537) / 1
LCM(4531,4537) = 20557147 / 1
LCM(4531,4537) = 20557147
Properties of LCM 4531 and 4537
(i) The LCM of 4537 and 4531 is associative
LCM of 4531 and 4537 = LCM of 4537 and 4531
Related Least Common Multiples of 4531
Related Least Common Multiples of 4537
Frequently Asked Questions on LCM of 4531 and 4537
1. What is the LCM of 4531 and 4537?
Answer: LCM of 4531 and 4537 is 20557147.
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 4537?
Answer: Factors of 4537 are 1, 13, 349, 4537. There are 4 integers that are factors of 4537. The greatest factor of 4537 is 4537.
4. How to Find the LCM of 4531 and 4537?
Answer:
Least Common Multiple of 4531 and 4537 = 20557147
Step 1: Find the prime factorization of 4531
4531 = 23 x 197
Step 2: Find the prime factorization of 4537
4537 = 13 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20557147 = 13 x 23 x 197 x 349
Step 4: Therefore, the least common multiple of 4531 and 4537 is 20557147.