Least Common Multiple of 4485 and 4487
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4485 and 4487 the smallest integer that is 20124195 that is divisible by both numbers.
Least Common Multiple (LCM) of 4485 and 4487 is 20124195.
LCM(4485,4487) = 20124195
LCM of 4485 and 4487
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4485 and 4487 by Prime method
- Least Common Multiple of 4485 and 4487 with GCF Formula
LCM of 4485 and 4487 is 20124195
Least common multiple can be found by multiplying the highest exponent prime factors of 4485 and 4487. First we will calculate the prime factors of 4485 and 4487.
Prime Factorization of 4485
| 3 | 4485 |
| 5 | 1495 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 4485 are 3, 5, 13,23. Prime factorization of 4485 in exponential form is:
4485 = 31×51×131×231
Prime Factorization of 4487
| 7 | 4487 |
| 641 | 641 |
| 1 |
Prime factors of 4487 are 7,641. Prime factorization of 4487 in exponential form is:
4487 = 71×6411
Now multiplying the highest exponent prime factors to calculate the LCM of 4485 and 4487.
LCM(4485,4487) = 31×51×71×131×231×6411
LCM(4485,4487) = 20124195
Factors of 4485
List of positive integer factors of 4485 that divides 4485 without a remainder.
1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485
Factors of 4487
List of positive integer factors of 4487 that divides 4487 without a remainder.
1, 7, 641, 4487
Least Common Multiple of 4485 and 4487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4485 and 4487, than apply into the LCM equation.
GCF(4485,4487) = 1
LCM(4485,4487) = ( 4485 × 4487) / 1
LCM(4485,4487) = 20124195 / 1
LCM(4485,4487) = 20124195
Properties of LCM 4485 and 4487
(i) The LCM of 4487 and 4485 is associative
LCM of 4485 and 4487 = LCM of 4487 and 4485
Related Least Common Multiples of 4485
Related Least Common Multiples of 4487
Frequently Asked Questions on LCM of 4485 and 4487
1. What is the LCM of 4485 and 4487?
Answer: LCM of 4485 and 4487 is 20124195.
2. What are the Factors of 4485?
Answer: Factors of 4485 are 1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485. There are 16 integers that are factors of 4485. The greatest factor of 4485 is 4485.
3. What are the Factors of 4487?
Answer: Factors of 4487 are 1, 7, 641, 4487. There are 4 integers that are factors of 4487. The greatest factor of 4487 is 4487.
4. How to Find the LCM of 4485 and 4487?
Answer:
Least Common Multiple of 4485 and 4487 = 20124195
Step 1: Find the prime factorization of 4485
4485 = 3 x 5 x 13 x 23
Step 2: Find the prime factorization of 4487
4487 = 7 x 641
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20124195 = 3 x 5 x 7 x 13 x 23 x 641
Step 4: Therefore, the least common multiple of 4485 and 4487 is 20124195.