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 2526 the smallest integer that is 3185286 that is divisible by both numbers.
Least Common Multiple (LCM) of 2522 and 2526 is 3185286.
LCM(2522,2526) = 3185286
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 2526. First we will calculate the prime factors of 2522 and 2526.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 2522 and 2526.
LCM(2522,2526) = 21×31×131×971×4211
LCM(2522,2526) = 3185286
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 2526
List of positive integer factors of 2526 that divides 2526 without a remainder.
1, 2, 3, 6, 421, 842, 1263, 2526
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2522 and 2526, than apply into the LCM equation.
GCF(2522,2526) = 2
LCM(2522,2526) = ( 2522 × 2526) / 2
LCM(2522,2526) = 6370572 / 2
LCM(2522,2526) = 3185286
(i) The LCM of 2526 and 2522 is associative
LCM of 2522 and 2526 = LCM of 2526 and 2522
1. What is the LCM of 2522 and 2526?
Answer: LCM of 2522 and 2526 is 3185286.
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 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.
4. How to Find the LCM of 2522 and 2526?
Answer:
Least Common Multiple of 2522 and 2526 = 3185286
Step 1: Find the prime factorization of 2522
2522 = 2 x 13 x 97
Step 2: Find the prime factorization of 2526
2526 = 2 x 3 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3185286 = 2 x 3 x 13 x 97 x 421
Step 4: Therefore, the least common multiple of 2522 and 2526 is 3185286.