Least Common Multiple of 2533 and 2535
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2533 and 2535 the smallest integer that is 6421155 that is divisible by both numbers.
Least Common Multiple (LCM) of 2533 and 2535 is 6421155.
LCM(2533,2535) = 6421155
LCM of 2533 and 2535
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2533 and 2535 by Prime method
- Least Common Multiple of 2533 and 2535 with GCF Formula
LCM of 2533 and 2535 is 6421155
Least common multiple can be found by multiplying the highest exponent prime factors of 2533 and 2535. First we will calculate the prime factors of 2533 and 2535.
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
Prime Factorization of 2535
| 3 | 2535 |
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 2535 are 3, 5,13. Prime factorization of 2535 in exponential form is:
2535 = 31×51×132
Now multiplying the highest exponent prime factors to calculate the LCM of 2533 and 2535.
LCM(2533,2535) = 31×51×132×171×1491
LCM(2533,2535) = 6421155
Factors of 2533
List of positive integer factors of 2533 that divides 2533 without a remainder.
1, 17, 149, 2533
Factors of 2535
List of positive integer factors of 2535 that divides 2535 without a remainder.
1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535
Least Common Multiple of 2533 and 2535 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2533 and 2535, than apply into the LCM equation.
GCF(2533,2535) = 1
LCM(2533,2535) = ( 2533 × 2535) / 1
LCM(2533,2535) = 6421155 / 1
LCM(2533,2535) = 6421155
Properties of LCM 2533 and 2535
(i) The LCM of 2535 and 2533 is associative
LCM of 2533 and 2535 = LCM of 2535 and 2533
Related Least Common Multiples of 2533
Related Least Common Multiples of 2535
Frequently Asked Questions on LCM of 2533 and 2535
1. What is the LCM of 2533 and 2535?
Answer: LCM of 2533 and 2535 is 6421155.
2. 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.
3. What are the Factors of 2535?
Answer: Factors of 2535 are 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535. There are 12 integers that are factors of 2535. The greatest factor of 2535 is 2535.
4. How to Find the LCM of 2533 and 2535?
Answer:
Least Common Multiple of 2533 and 2535 = 6421155
Step 1: Find the prime factorization of 2533
2533 = 17 x 149
Step 2: Find the prime factorization of 2535
2535 = 3 x 5 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6421155 = 3 x 5 x 13 x 13 x 17 x 149
Step 4: Therefore, the least common multiple of 2533 and 2535 is 6421155.