Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2522 and 2530 the smallest integer that is 3190330 that is divisible by both numbers.
Least Common Multiple (LCM) of 2522 and 2530 is 3190330.
LCM(2522,2530) = 3190330
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 2522 and 2530. First we will calculate the prime factors of 2522 and 2530.
Prime Factorization of 2522
2 | 2522 |
13 | 1261 |
97 | 97 |
1 |
Prime factors of 2522 are 2, 13,97. Prime factorization of 2522 in exponential form is:
2522 = 21×131×971
Prime Factorization of 2530
2 | 2530 |
5 | 1265 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 2530 are 2, 5, 11,23. Prime factorization of 2530 in exponential form is:
2530 = 21×51×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 2522 and 2530.
LCM(2522,2530) = 21×51×111×131×231×971
LCM(2522,2530) = 3190330
Factors of 2522
List of positive integer factors of 2522 that divides 2522 without a remainder.
1, 2, 13, 26, 97, 194, 1261, 2522
Factors of 2530
List of positive integer factors of 2530 that divides 2530 without a remainder.
1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2522 and 2530, than apply into the LCM equation.
GCF(2522,2530) = 2
LCM(2522,2530) = ( 2522 × 2530) / 2
LCM(2522,2530) = 6380660 / 2
LCM(2522,2530) = 3190330
(i) The LCM of 2530 and 2522 is associative
LCM of 2522 and 2530 = LCM of 2530 and 2522
1. What is the LCM of 2522 and 2530?
Answer: LCM of 2522 and 2530 is 3190330.
2. What are the Factors of 2522?
Answer: Factors of 2522 are 1, 2, 13, 26, 97, 194, 1261, 2522. There are 8 integers that are factors of 2522. The greatest factor of 2522 is 2522.
3. What are the Factors of 2530?
Answer: Factors of 2530 are 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530. There are 16 integers that are factors of 2530. The greatest factor of 2530 is 2530.
4. How to Find the LCM of 2522 and 2530?
Answer:
Least Common Multiple of 2522 and 2530 = 3190330
Step 1: Find the prime factorization of 2522
2522 = 2 x 13 x 97
Step 2: Find the prime factorization of 2530
2530 = 2 x 5 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3190330 = 2 x 5 x 11 x 13 x 23 x 97
Step 4: Therefore, the least common multiple of 2522 and 2530 is 3190330.