Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2507 and 2508 the smallest integer that is 6287556 that is divisible by both numbers.
Least Common Multiple (LCM) of 2507 and 2508 is 6287556.
LCM(2507,2508) = 6287556
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 2507 and 2508. First we will calculate the prime factors of 2507 and 2508.
Prime Factorization of 2507
23 | 2507 |
109 | 109 |
1 |
Prime factors of 2507 are 23,109. Prime factorization of 2507 in exponential form is:
2507 = 231×1091
Prime Factorization of 2508
2 | 2508 |
2 | 1254 |
3 | 627 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 2508 are 2, 3, 11,19. Prime factorization of 2508 in exponential form is:
2508 = 22×31×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 2507 and 2508.
LCM(2507,2508) = 22×31×111×191×231×1091
LCM(2507,2508) = 6287556
Factors of 2507
List of positive integer factors of 2507 that divides 2507 without a remainder.
1, 23, 109, 2507
Factors of 2508
List of positive integer factors of 2508 that divides 2508 without a remainder.
1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2507 and 2508, than apply into the LCM equation.
GCF(2507,2508) = 1
LCM(2507,2508) = ( 2507 × 2508) / 1
LCM(2507,2508) = 6287556 / 1
LCM(2507,2508) = 6287556
(i) The LCM of 2508 and 2507 is associative
LCM of 2507 and 2508 = LCM of 2508 and 2507
1. What is the LCM of 2507 and 2508?
Answer: LCM of 2507 and 2508 is 6287556.
2. What are the Factors of 2507?
Answer: Factors of 2507 are 1, 23, 109, 2507. There are 4 integers that are factors of 2507. The greatest factor of 2507 is 2507.
3. What are the Factors of 2508?
Answer: Factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508. There are 24 integers that are factors of 2508. The greatest factor of 2508 is 2508.
4. How to Find the LCM of 2507 and 2508?
Answer:
Least Common Multiple of 2507 and 2508 = 6287556
Step 1: Find the prime factorization of 2507
2507 = 23 x 109
Step 2: Find the prime factorization of 2508
2508 = 2 x 2 x 3 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6287556 = 2 x 2 x 3 x 11 x 19 x 23 x 109
Step 4: Therefore, the least common multiple of 2507 and 2508 is 6287556.