Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2505 and 2511 the smallest integer that is 2096685 that is divisible by both numbers.
Least Common Multiple (LCM) of 2505 and 2511 is 2096685.
LCM(2505,2511) = 2096685
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 2505 and 2511. First we will calculate the prime factors of 2505 and 2511.
Prime Factorization of 2505
3 | 2505 |
5 | 835 |
167 | 167 |
1 |
Prime factors of 2505 are 3, 5,167. Prime factorization of 2505 in exponential form is:
2505 = 31×51×1671
Prime Factorization of 2511
3 | 2511 |
3 | 837 |
3 | 279 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 2511 are 3,31. Prime factorization of 2511 in exponential form is:
2511 = 34×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2505 and 2511.
LCM(2505,2511) = 34×51×311×1671
LCM(2505,2511) = 2096685
Factors of 2505
List of positive integer factors of 2505 that divides 2505 without a remainder.
1, 3, 5, 15, 167, 501, 835, 2505
Factors of 2511
List of positive integer factors of 2511 that divides 2511 without a remainder.
1, 3, 9, 27, 31, 81, 93, 279, 837, 2511
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2505 and 2511, than apply into the LCM equation.
GCF(2505,2511) = 3
LCM(2505,2511) = ( 2505 × 2511) / 3
LCM(2505,2511) = 6290055 / 3
LCM(2505,2511) = 2096685
(i) The LCM of 2511 and 2505 is associative
LCM of 2505 and 2511 = LCM of 2511 and 2505
1. What is the LCM of 2505 and 2511?
Answer: LCM of 2505 and 2511 is 2096685.
2. What are the Factors of 2505?
Answer: Factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505. There are 8 integers that are factors of 2505. The greatest factor of 2505 is 2505.
3. What are the Factors of 2511?
Answer: Factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511. There are 10 integers that are factors of 2511. The greatest factor of 2511 is 2511.
4. How to Find the LCM of 2505 and 2511?
Answer:
Least Common Multiple of 2505 and 2511 = 2096685
Step 1: Find the prime factorization of 2505
2505 = 3 x 5 x 167
Step 2: Find the prime factorization of 2511
2511 = 3 x 3 x 3 x 3 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2096685 = 3 x 3 x 3 x 3 x 5 x 31 x 167
Step 4: Therefore, the least common multiple of 2505 and 2511 is 2096685.