Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2498 and 2499 the smallest integer that is 6242502 that is divisible by both numbers.
Least Common Multiple (LCM) of 2498 and 2499 is 6242502.
LCM(2498,2499) = 6242502
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 2498 and 2499. First we will calculate the prime factors of 2498 and 2499.
Prime Factorization of 2498
2 | 2498 |
1249 | 1249 |
1 |
Prime factors of 2498 are 2,1249. Prime factorization of 2498 in exponential form is:
2498 = 21×12491
Prime Factorization of 2499
3 | 2499 |
7 | 833 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 2499 are 3, 7,17. Prime factorization of 2499 in exponential form is:
2499 = 31×72×171
Now multiplying the highest exponent prime factors to calculate the LCM of 2498 and 2499.
LCM(2498,2499) = 21×31×72×171×12491
LCM(2498,2499) = 6242502
Factors of 2498
List of positive integer factors of 2498 that divides 2498 without a remainder.
1, 2, 1249, 2498
Factors of 2499
List of positive integer factors of 2499 that divides 2499 without a remainder.
1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2498 and 2499, than apply into the LCM equation.
GCF(2498,2499) = 1
LCM(2498,2499) = ( 2498 × 2499) / 1
LCM(2498,2499) = 6242502 / 1
LCM(2498,2499) = 6242502
(i) The LCM of 2499 and 2498 is associative
LCM of 2498 and 2499 = LCM of 2499 and 2498
1. What is the LCM of 2498 and 2499?
Answer: LCM of 2498 and 2499 is 6242502.
2. What are the Factors of 2498?
Answer: Factors of 2498 are 1, 2, 1249, 2498. There are 4 integers that are factors of 2498. The greatest factor of 2498 is 2498.
3. What are the Factors of 2499?
Answer: Factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499. There are 12 integers that are factors of 2499. The greatest factor of 2499 is 2499.
4. How to Find the LCM of 2498 and 2499?
Answer:
Least Common Multiple of 2498 and 2499 = 6242502
Step 1: Find the prime factorization of 2498
2498 = 2 x 1249
Step 2: Find the prime factorization of 2499
2499 = 3 x 7 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6242502 = 2 x 3 x 7 x 7 x 17 x 1249
Step 4: Therefore, the least common multiple of 2498 and 2499 is 6242502.