Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2482 and 2486 the smallest integer that is 3085126 that is divisible by both numbers.
Least Common Multiple (LCM) of 2482 and 2486 is 3085126.
LCM(2482,2486) = 3085126
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 2482 and 2486. First we will calculate the prime factors of 2482 and 2486.
Prime Factorization of 2482
2 | 2482 |
17 | 1241 |
73 | 73 |
1 |
Prime factors of 2482 are 2, 17,73. Prime factorization of 2482 in exponential form is:
2482 = 21×171×731
Prime Factorization of 2486
2 | 2486 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 2486 are 2, 11,113. Prime factorization of 2486 in exponential form is:
2486 = 21×111×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 2482 and 2486.
LCM(2482,2486) = 21×111×171×731×1131
LCM(2482,2486) = 3085126
Factors of 2482
List of positive integer factors of 2482 that divides 2482 without a remainder.
1, 2, 17, 34, 73, 146, 1241, 2482
Factors of 2486
List of positive integer factors of 2486 that divides 2486 without a remainder.
1, 2, 11, 22, 113, 226, 1243, 2486
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2482 and 2486, than apply into the LCM equation.
GCF(2482,2486) = 2
LCM(2482,2486) = ( 2482 × 2486) / 2
LCM(2482,2486) = 6170252 / 2
LCM(2482,2486) = 3085126
(i) The LCM of 2486 and 2482 is associative
LCM of 2482 and 2486 = LCM of 2486 and 2482
1. What is the LCM of 2482 and 2486?
Answer: LCM of 2482 and 2486 is 3085126.
2. What are the Factors of 2482?
Answer: Factors of 2482 are 1, 2, 17, 34, 73, 146, 1241, 2482. There are 8 integers that are factors of 2482. The greatest factor of 2482 is 2482.
3. What are the Factors of 2486?
Answer: Factors of 2486 are 1, 2, 11, 22, 113, 226, 1243, 2486. There are 8 integers that are factors of 2486. The greatest factor of 2486 is 2486.
4. How to Find the LCM of 2482 and 2486?
Answer:
Least Common Multiple of 2482 and 2486 = 3085126
Step 1: Find the prime factorization of 2482
2482 = 2 x 17 x 73
Step 2: Find the prime factorization of 2486
2486 = 2 x 11 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3085126 = 2 x 11 x 17 x 73 x 113
Step 4: Therefore, the least common multiple of 2482 and 2486 is 3085126.