Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4483 and 4490 the smallest integer that is 20128670 that is divisible by both numbers.
Least Common Multiple (LCM) of 4483 and 4490 is 20128670.
LCM(4483,4490) = 20128670
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 4483 and 4490. First we will calculate the prime factors of 4483 and 4490.
Prime Factorization of 4483
4483 | 4483 |
1 |
Prime factors of 4483 are 4483. Prime factorization of 4483 in exponential form is:
4483 = 44831
Prime Factorization of 4490
2 | 4490 |
5 | 2245 |
449 | 449 |
1 |
Prime factors of 4490 are 2, 5,449. Prime factorization of 4490 in exponential form is:
4490 = 21×51×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 4483 and 4490.
LCM(4483,4490) = 21×51×4491×44831
LCM(4483,4490) = 20128670
Factors of 4483
List of positive integer factors of 4483 that divides 4483 without a remainder.
1, 4483
Factors of 4490
List of positive integer factors of 4490 that divides 4490 without a remainder.
1, 2, 5, 10, 449, 898, 2245, 4490
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4483 and 4490, than apply into the LCM equation.
GCF(4483,4490) = 1
LCM(4483,4490) = ( 4483 × 4490) / 1
LCM(4483,4490) = 20128670 / 1
LCM(4483,4490) = 20128670
(i) The LCM of 4490 and 4483 is associative
LCM of 4483 and 4490 = LCM of 4490 and 4483
1. What is the LCM of 4483 and 4490?
Answer: LCM of 4483 and 4490 is 20128670.
2. What are the Factors of 4483?
Answer: Factors of 4483 are 1, 4483. There are 2 integers that are factors of 4483. The greatest factor of 4483 is 4483.
3. What are the Factors of 4490?
Answer: Factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490. There are 8 integers that are factors of 4490. The greatest factor of 4490 is 4490.
4. How to Find the LCM of 4483 and 4490?
Answer:
Least Common Multiple of 4483 and 4490 = 20128670
Step 1: Find the prime factorization of 4483
4483 = 4483
Step 2: Find the prime factorization of 4490
4490 = 2 x 5 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20128670 = 2 x 5 x 449 x 4483
Step 4: Therefore, the least common multiple of 4483 and 4490 is 20128670.