Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4482 and 4486 the smallest integer that is 10053126 that is divisible by both numbers.
Least Common Multiple (LCM) of 4482 and 4486 is 10053126.
LCM(4482,4486) = 10053126
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 4482 and 4486. First we will calculate the prime factors of 4482 and 4486.
Prime Factorization of 4482
2 | 4482 |
3 | 2241 |
3 | 747 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 4482 are 2, 3,83. Prime factorization of 4482 in exponential form is:
4482 = 21×33×831
Prime Factorization of 4486
2 | 4486 |
2243 | 2243 |
1 |
Prime factors of 4486 are 2,2243. Prime factorization of 4486 in exponential form is:
4486 = 21×22431
Now multiplying the highest exponent prime factors to calculate the LCM of 4482 and 4486.
LCM(4482,4486) = 21×33×831×22431
LCM(4482,4486) = 10053126
Factors of 4482
List of positive integer factors of 4482 that divides 4482 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482
Factors of 4486
List of positive integer factors of 4486 that divides 4486 without a remainder.
1, 2, 2243, 4486
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4482 and 4486, than apply into the LCM equation.
GCF(4482,4486) = 2
LCM(4482,4486) = ( 4482 × 4486) / 2
LCM(4482,4486) = 20106252 / 2
LCM(4482,4486) = 10053126
(i) The LCM of 4486 and 4482 is associative
LCM of 4482 and 4486 = LCM of 4486 and 4482
1. What is the LCM of 4482 and 4486?
Answer: LCM of 4482 and 4486 is 10053126.
2. What are the Factors of 4482?
Answer: Factors of 4482 are 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482. There are 16 integers that are factors of 4482. The greatest factor of 4482 is 4482.
3. What are the Factors of 4486?
Answer: Factors of 4486 are 1, 2, 2243, 4486. There are 4 integers that are factors of 4486. The greatest factor of 4486 is 4486.
4. How to Find the LCM of 4482 and 4486?
Answer:
Least Common Multiple of 4482 and 4486 = 10053126
Step 1: Find the prime factorization of 4482
4482 = 2 x 3 x 3 x 3 x 83
Step 2: Find the prime factorization of 4486
4486 = 2 x 2243
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10053126 = 2 x 3 x 3 x 3 x 83 x 2243
Step 4: Therefore, the least common multiple of 4482 and 4486 is 10053126.