Least Common Multiple of 2453 and 2457
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2453 and 2457 the smallest integer that is 6027021 that is divisible by both numbers.
Least Common Multiple (LCM) of 2453 and 2457 is 6027021.
LCM(2453,2457) = 6027021
LCM of 2453 and 2457
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2453 and 2457 by Prime method
- Least Common Multiple of 2453 and 2457 with GCF Formula
LCM of 2453 and 2457 is 6027021
Least common multiple can be found by multiplying the highest exponent prime factors of 2453 and 2457. First we will calculate the prime factors of 2453 and 2457.
Prime Factorization of 2453
| 11 | 2453 |
| 223 | 223 |
| 1 |
Prime factors of 2453 are 11,223. Prime factorization of 2453 in exponential form is:
2453 = 111×2231
Prime Factorization of 2457
| 3 | 2457 |
| 3 | 819 |
| 3 | 273 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 2457 are 3, 7,13. Prime factorization of 2457 in exponential form is:
2457 = 33×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 2453 and 2457.
LCM(2453,2457) = 33×71×111×131×2231
LCM(2453,2457) = 6027021
Factors of 2453
List of positive integer factors of 2453 that divides 2453 without a remainder.
1, 11, 223, 2453
Factors of 2457
List of positive integer factors of 2457 that divides 2457 without a remainder.
1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457
Least Common Multiple of 2453 and 2457 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2453 and 2457, than apply into the LCM equation.
GCF(2453,2457) = 1
LCM(2453,2457) = ( 2453 × 2457) / 1
LCM(2453,2457) = 6027021 / 1
LCM(2453,2457) = 6027021
Properties of LCM 2453 and 2457
(i) The LCM of 2457 and 2453 is associative
LCM of 2453 and 2457 = LCM of 2457 and 2453
Related Least Common Multiples of 2453
Related Least Common Multiples of 2457
Frequently Asked Questions on LCM of 2453 and 2457
1. What is the LCM of 2453 and 2457?
Answer: LCM of 2453 and 2457 is 6027021.
2. What are the Factors of 2453?
Answer: Factors of 2453 are 1, 11, 223, 2453. There are 4 integers that are factors of 2453. The greatest factor of 2453 is 2453.
3. What are the Factors of 2457?
Answer: Factors of 2457 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457. There are 16 integers that are factors of 2457. The greatest factor of 2457 is 2457.
4. How to Find the LCM of 2453 and 2457?
Answer:
Least Common Multiple of 2453 and 2457 = 6027021
Step 1: Find the prime factorization of 2453
2453 = 11 x 223
Step 2: Find the prime factorization of 2457
2457 = 3 x 3 x 3 x 7 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 = 6027021 = 3 x 3 x 3 x 7 x 11 x 13 x 223
Step 4: Therefore, the least common multiple of 2453 and 2457 is 6027021.
