Least Common Multiple of 2533 and 2537
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 2537 the smallest integer that is 6426221 that is divisible by both numbers.
Least Common Multiple (LCM) of 2533 and 2537 is 6426221.
LCM(2533,2537) = 6426221
LCM of 2533 and 2537
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2533 and 2537 by Prime method
- Least Common Multiple of 2533 and 2537 with GCF Formula
LCM of 2533 and 2537 is 6426221
Least common multiple can be found by multiplying the highest exponent prime factors of 2533 and 2537. First we will calculate the prime factors of 2533 and 2537.
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 2537
| 43 | 2537 |
| 59 | 59 |
| 1 |
Prime factors of 2537 are 43,59. Prime factorization of 2537 in exponential form is:
2537 = 431×591
Now multiplying the highest exponent prime factors to calculate the LCM of 2533 and 2537.
LCM(2533,2537) = 171×431×591×1491
LCM(2533,2537) = 6426221
Factors of 2533
List of positive integer factors of 2533 that divides 2533 without a remainder.
1, 17, 149, 2533
Factors of 2537
List of positive integer factors of 2537 that divides 2537 without a remainder.
1, 43, 59, 2537
Least Common Multiple of 2533 and 2537 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 2537, than apply into the LCM equation.
GCF(2533,2537) = 1
LCM(2533,2537) = ( 2533 × 2537) / 1
LCM(2533,2537) = 6426221 / 1
LCM(2533,2537) = 6426221
Properties of LCM 2533 and 2537
(i) The LCM of 2537 and 2533 is associative
LCM of 2533 and 2537 = LCM of 2537 and 2533
Related Least Common Multiples of 2533
Related Least Common Multiples of 2537
Frequently Asked Questions on LCM of 2533 and 2537
1. What is the LCM of 2533 and 2537?
Answer: LCM of 2533 and 2537 is 6426221.
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 2537?
Answer: Factors of 2537 are 1, 43, 59, 2537. There are 4 integers that are factors of 2537. The greatest factor of 2537 is 2537.
4. How to Find the LCM of 2533 and 2537?
Answer:
Least Common Multiple of 2533 and 2537 = 6426221
Step 1: Find the prime factorization of 2533
2533 = 17 x 149
Step 2: Find the prime factorization of 2537
2537 = 43 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6426221 = 17 x 43 x 59 x 149
Step 4: Therefore, the least common multiple of 2533 and 2537 is 6426221.