Least Common Multiple of 4521 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 4521 and 4525 the smallest integer that is 20457525 that is divisible by both numbers.
Least Common Multiple (LCM) of 4521 and 4525 is 20457525.
LCM(4521,4525) = 20457525
LCM of 4521 and 4525
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4521 and 4525 by Prime method
- Least Common Multiple of 4521 and 4525 with GCF Formula
LCM of 4521 and 4525 is 20457525
Least common multiple can be found by multiplying the highest exponent prime factors of 4521 and 4525. First we will calculate the prime factors of 4521 and 4525.
Prime Factorization of 4521
| 3 | 4521 |
| 11 | 1507 |
| 137 | 137 |
| 1 |
Prime factors of 4521 are 3, 11,137. Prime factorization of 4521 in exponential form is:
4521 = 31×111×1371
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 4521 and 4525.
LCM(4521,4525) = 31×52×111×1371×1811
LCM(4521,4525) = 20457525
Factors of 4521
List of positive integer factors of 4521 that divides 4521 without a remainder.
1, 3, 11, 33, 137, 411, 1507, 4521
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 4521 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 4521 and 4525, than apply into the LCM equation.
GCF(4521,4525) = 1
LCM(4521,4525) = ( 4521 × 4525) / 1
LCM(4521,4525) = 20457525 / 1
LCM(4521,4525) = 20457525
Properties of LCM 4521 and 4525
(i) The LCM of 4525 and 4521 is associative
LCM of 4521 and 4525 = LCM of 4525 and 4521
Related Least Common Multiples of 4521
Related Least Common Multiples of 4525
Frequently Asked Questions on LCM of 4521 and 4525
1. What is the LCM of 4521 and 4525?
Answer: LCM of 4521 and 4525 is 20457525.
2. What are the Factors of 4521?
Answer: Factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521. There are 8 integers that are factors of 4521. The greatest factor of 4521 is 4521.
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 4521 and 4525?
Answer:
Least Common Multiple of 4521 and 4525 = 20457525
Step 1: Find the prime factorization of 4521
4521 = 3 x 11 x 137
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 = 20457525 = 3 x 5 x 5 x 11 x 137 x 181
Step 4: Therefore, the least common multiple of 4521 and 4525 is 20457525.