Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2526 and 2531 the smallest integer that is 6393306 that is divisible by both numbers.
Least Common Multiple (LCM) of 2526 and 2531 is 6393306.
LCM(2526,2531) = 6393306
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 2526 and 2531. First we will calculate the prime factors of 2526 and 2531.
Prime Factorization of 2526
2 | 2526 |
3 | 1263 |
421 | 421 |
1 |
Prime factors of 2526 are 2, 3,421. Prime factorization of 2526 in exponential form is:
2526 = 21×31×4211
Prime Factorization of 2531
2531 | 2531 |
1 |
Prime factors of 2531 are 2531. Prime factorization of 2531 in exponential form is:
2531 = 25311
Now multiplying the highest exponent prime factors to calculate the LCM of 2526 and 2531.
LCM(2526,2531) = 21×31×4211×25311
LCM(2526,2531) = 6393306
Factors of 2526
List of positive integer factors of 2526 that divides 2526 without a remainder.
1, 2, 3, 6, 421, 842, 1263, 2526
Factors of 2531
List of positive integer factors of 2531 that divides 2531 without a remainder.
1, 2531
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2526 and 2531, than apply into the LCM equation.
GCF(2526,2531) = 1
LCM(2526,2531) = ( 2526 × 2531) / 1
LCM(2526,2531) = 6393306 / 1
LCM(2526,2531) = 6393306
(i) The LCM of 2531 and 2526 is associative
LCM of 2526 and 2531 = LCM of 2531 and 2526
1. What is the LCM of 2526 and 2531?
Answer: LCM of 2526 and 2531 is 6393306.
2. What are the Factors of 2526?
Answer: Factors of 2526 are 1, 2, 3, 6, 421, 842, 1263, 2526. There are 8 integers that are factors of 2526. The greatest factor of 2526 is 2526.
3. What are the Factors of 2531?
Answer: Factors of 2531 are 1, 2531. There are 2 integers that are factors of 2531. The greatest factor of 2531 is 2531.
4. How to Find the LCM of 2526 and 2531?
Answer:
Least Common Multiple of 2526 and 2531 = 6393306
Step 1: Find the prime factorization of 2526
2526 = 2 x 3 x 421
Step 2: Find the prime factorization of 2531
2531 = 2531
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6393306 = 2 x 3 x 421 x 2531
Step 4: Therefore, the least common multiple of 2526 and 2531 is 6393306.