Least Common Multiple of 2527 and 2533
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2527 and 2533 the smallest integer that is 6400891 that is divisible by both numbers.
Least Common Multiple (LCM) of 2527 and 2533 is 6400891.
LCM(2527,2533) = 6400891
LCM of 2527 and 2533
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2527 and 2533 by Prime method
- Least Common Multiple of 2527 and 2533 with GCF Formula
LCM of 2527 and 2533 is 6400891
Least common multiple can be found by multiplying the highest exponent prime factors of 2527 and 2533. First we will calculate the prime factors of 2527 and 2533.
Prime Factorization of 2527
| 7 | 2527 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 2527 are 7,19. Prime factorization of 2527 in exponential form is:
2527 = 71×192
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 2527 and 2533.
LCM(2527,2533) = 71×171×192×1491
LCM(2527,2533) = 6400891
Factors of 2527
List of positive integer factors of 2527 that divides 2527 without a remainder.
1, 7, 19, 133, 361, 2527
Factors of 2533
List of positive integer factors of 2533 that divides 2533 without a remainder.
1, 17, 149, 2533
Least Common Multiple of 2527 and 2533 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2527 and 2533, than apply into the LCM equation.
GCF(2527,2533) = 1
LCM(2527,2533) = ( 2527 × 2533) / 1
LCM(2527,2533) = 6400891 / 1
LCM(2527,2533) = 6400891
Properties of LCM 2527 and 2533
(i) The LCM of 2533 and 2527 is associative
LCM of 2527 and 2533 = LCM of 2533 and 2527
Related Least Common Multiples of 2527
Related Least Common Multiples of 2533
Frequently Asked Questions on LCM of 2527 and 2533
1. What is the LCM of 2527 and 2533?
Answer: LCM of 2527 and 2533 is 6400891.
2. What are the Factors of 2527?
Answer: Factors of 2527 are 1, 7, 19, 133, 361, 2527. There are 6 integers that are factors of 2527. The greatest factor of 2527 is 2527.
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 2527 and 2533?
Answer:
Least Common Multiple of 2527 and 2533 = 6400891
Step 1: Find the prime factorization of 2527
2527 = 7 x 19 x 19
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 = 6400891 = 7 x 17 x 19 x 19 x 149
Step 4: Therefore, the least common multiple of 2527 and 2533 is 6400891.