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 2533 the smallest integer that is 6398358 that is divisible by both numbers.
Least Common Multiple (LCM) of 2526 and 2533 is 6398358.
LCM(2526,2533) = 6398358
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 2533. First we will calculate the prime factors of 2526 and 2533.
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 2533
17 | 2533 |
149 | 149 |
1 |
Prime factors of 2533 are 17,149. Prime factorization of 2533 in exponential form is:
2533 = 171×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 2526 and 2533.
LCM(2526,2533) = 21×31×171×1491×4211
LCM(2526,2533) = 6398358
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 2533
List of positive integer factors of 2533 that divides 2533 without a remainder.
1, 17, 149, 2533
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2526 and 2533, than apply into the LCM equation.
GCF(2526,2533) = 1
LCM(2526,2533) = ( 2526 × 2533) / 1
LCM(2526,2533) = 6398358 / 1
LCM(2526,2533) = 6398358
(i) The LCM of 2533 and 2526 is associative
LCM of 2526 and 2533 = LCM of 2533 and 2526
1. What is the LCM of 2526 and 2533?
Answer: LCM of 2526 and 2533 is 6398358.
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 2533?
Answer: Factors of 2533 are 1, 17, 149, 2533. There are 4 integers that are factors of 2533. The greatest factor of 2533 is 2533.
4. How to Find the LCM of 2526 and 2533?
Answer:
Least Common Multiple of 2526 and 2533 = 6398358
Step 1: Find the prime factorization of 2526
2526 = 2 x 3 x 421
Step 2: Find the prime factorization of 2533
2533 = 17 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6398358 = 2 x 3 x 17 x 149 x 421
Step 4: Therefore, the least common multiple of 2526 and 2533 is 6398358.