Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4481 and 4485 the smallest integer that is 20097285 that is divisible by both numbers.
Least Common Multiple (LCM) of 4481 and 4485 is 20097285.
LCM(4481,4485) = 20097285
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4481 and 4485. First we will calculate the prime factors of 4481 and 4485.
Prime Factorization of 4481
4481 | 4481 |
1 |
Prime factors of 4481 are 4481. Prime factorization of 4481 in exponential form is:
4481 = 44811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4481 and 4485.
LCM(4481,4485) = 31×51×131×231×44811
LCM(4481,4485) = 20097285
Factors of 4481
List of positive integer factors of 4481 that divides 4481 without a remainder.
1, 4481
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4481 and 4485, than apply into the LCM equation.
GCF(4481,4485) = 1
LCM(4481,4485) = ( 4481 × 4485) / 1
LCM(4481,4485) = 20097285 / 1
LCM(4481,4485) = 20097285
(i) The LCM of 4485 and 4481 is associative
LCM of 4481 and 4485 = LCM of 4485 and 4481
1. What is the LCM of 4481 and 4485?
Answer: LCM of 4481 and 4485 is 20097285.
2. What are the Factors of 4481?
Answer: Factors of 4481 are 1, 4481. There are 2 integers that are factors of 4481. The greatest factor of 4481 is 4481.
3. 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.
4. How to Find the LCM of 4481 and 4485?
Answer:
Least Common Multiple of 4481 and 4485 = 20097285
Step 1: Find the prime factorization of 4481
4481 = 4481
Step 2: Find the prime factorization of 4485
4485 = 3 x 5 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20097285 = 3 x 5 x 13 x 23 x 4481
Step 4: Therefore, the least common multiple of 4481 and 4485 is 20097285.