Least Common Multiple of 4525 and 4531
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4525 and 4531 the smallest integer that is 20502775 that is divisible by both numbers.
Least Common Multiple (LCM) of 4525 and 4531 is 20502775.
LCM(4525,4531) = 20502775
LCM of 4525 and 4531
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4525 and 4531 by Prime method
- Least Common Multiple of 4525 and 4531 with GCF Formula
LCM of 4525 and 4531 is 20502775
Least common multiple can be found by multiplying the highest exponent prime factors of 4525 and 4531. First we will calculate the prime factors of 4525 and 4531.
Prime Factorization of 4525
| 5 | 4525 |
| 5 | 905 |
| 181 | 181 |
| 1 |
Prime factors of 4525 are 5,181. Prime factorization of 4525 in exponential form is:
4525 = 52×1811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4525 and 4531.
LCM(4525,4531) = 52×231×1811×1971
LCM(4525,4531) = 20502775
Factors of 4525
List of positive integer factors of 4525 that divides 4525 without a remainder.
1, 5, 25, 181, 905, 4525
Factors of 4531
List of positive integer factors of 4531 that divides 4531 without a remainder.
1, 23, 197, 4531
Least Common Multiple of 4525 and 4531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4525 and 4531, than apply into the LCM equation.
GCF(4525,4531) = 1
LCM(4525,4531) = ( 4525 × 4531) / 1
LCM(4525,4531) = 20502775 / 1
LCM(4525,4531) = 20502775
Properties of LCM 4525 and 4531
(i) The LCM of 4531 and 4525 is associative
LCM of 4525 and 4531 = LCM of 4531 and 4525
Related Least Common Multiples of 4525
Related Least Common Multiples of 4531
Frequently Asked Questions on LCM of 4525 and 4531
1. What is the LCM of 4525 and 4531?
Answer: LCM of 4525 and 4531 is 20502775.
2. What are the Factors of 4525?
Answer: Factors of 4525 are 1, 5, 25, 181, 905, 4525. There are 6 integers that are factors of 4525. The greatest factor of 4525 is 4525.
3. 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.
4. How to Find the LCM of 4525 and 4531?
Answer:
Least Common Multiple of 4525 and 4531 = 20502775
Step 1: Find the prime factorization of 4525
4525 = 5 x 5 x 181
Step 2: Find the prime factorization of 4531
4531 = 23 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20502775 = 5 x 5 x 23 x 181 x 197
Step 4: Therefore, the least common multiple of 4525 and 4531 is 20502775.