Least Common Multiple of 4518 and 4525
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4518 and 4525 the smallest integer that is 20443950 that is divisible by both numbers.
Least Common Multiple (LCM) of 4518 and 4525 is 20443950.
LCM(4518,4525) = 20443950
LCM of 4518 and 4525
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4518 and 4525 by Prime method
- Least Common Multiple of 4518 and 4525 with GCF Formula
LCM of 4518 and 4525 is 20443950
Least common multiple can be found by multiplying the highest exponent prime factors of 4518 and 4525. First we will calculate the prime factors of 4518 and 4525.
Prime Factorization of 4518
| 2 | 4518 |
| 3 | 2259 |
| 3 | 753 |
| 251 | 251 |
| 1 |
Prime factors of 4518 are 2, 3,251. Prime factorization of 4518 in exponential form is:
4518 = 21×32×2511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4518 and 4525.
LCM(4518,4525) = 21×32×52×1811×2511
LCM(4518,4525) = 20443950
Factors of 4518
List of positive integer factors of 4518 that divides 4518 without a remainder.
1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518
Factors of 4525
List of positive integer factors of 4525 that divides 4525 without a remainder.
1, 5, 25, 181, 905, 4525
Least Common Multiple of 4518 and 4525 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4518 and 4525, than apply into the LCM equation.
GCF(4518,4525) = 1
LCM(4518,4525) = ( 4518 × 4525) / 1
LCM(4518,4525) = 20443950 / 1
LCM(4518,4525) = 20443950
Properties of LCM 4518 and 4525
(i) The LCM of 4525 and 4518 is associative
LCM of 4518 and 4525 = LCM of 4525 and 4518
Related Least Common Multiples of 4518
Related Least Common Multiples of 4525
Frequently Asked Questions on LCM of 4518 and 4525
1. What is the LCM of 4518 and 4525?
Answer: LCM of 4518 and 4525 is 20443950.
2. What are the Factors of 4518?
Answer: Factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518. There are 12 integers that are factors of 4518. The greatest factor of 4518 is 4518.
3. 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.
4. How to Find the LCM of 4518 and 4525?
Answer:
Least Common Multiple of 4518 and 4525 = 20443950
Step 1: Find the prime factorization of 4518
4518 = 2 x 3 x 3 x 251
Step 2: Find the prime factorization of 4525
4525 = 5 x 5 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20443950 = 2 x 3 x 3 x 5 x 5 x 181 x 251
Step 4: Therefore, the least common multiple of 4518 and 4525 is 20443950.