Least Common Multiple of 2457 and 2462
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2457 and 2462 the smallest integer that is 6049134 that is divisible by both numbers.
Least Common Multiple (LCM) of 2457 and 2462 is 6049134.
LCM(2457,2462) = 6049134
LCM of 2457 and 2462
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2457 and 2462 by Prime method
- Least Common Multiple of 2457 and 2462 with GCF Formula
LCM of 2457 and 2462 is 6049134
Least common multiple can be found by multiplying the highest exponent prime factors of 2457 and 2462. First we will calculate the prime factors of 2457 and 2462.
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
Prime Factorization of 2462
| 2 | 2462 |
| 1231 | 1231 |
| 1 |
Prime factors of 2462 are 2,1231. Prime factorization of 2462 in exponential form is:
2462 = 21×12311
Now multiplying the highest exponent prime factors to calculate the LCM of 2457 and 2462.
LCM(2457,2462) = 21×33×71×131×12311
LCM(2457,2462) = 6049134
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
Factors of 2462
List of positive integer factors of 2462 that divides 2462 without a remainder.
1, 2, 1231, 2462
Least Common Multiple of 2457 and 2462 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2457 and 2462, than apply into the LCM equation.
GCF(2457,2462) = 1
LCM(2457,2462) = ( 2457 × 2462) / 1
LCM(2457,2462) = 6049134 / 1
LCM(2457,2462) = 6049134
Properties of LCM 2457 and 2462
(i) The LCM of 2462 and 2457 is associative
LCM of 2457 and 2462 = LCM of 2462 and 2457
Related Least Common Multiples of 2457
Related Least Common Multiples of 2462
Frequently Asked Questions on LCM of 2457 and 2462
1. What is the LCM of 2457 and 2462?
Answer: LCM of 2457 and 2462 is 6049134.
2. 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.
3. What are the Factors of 2462?
Answer: Factors of 2462 are 1, 2, 1231, 2462. There are 4 integers that are factors of 2462. The greatest factor of 2462 is 2462.
4. How to Find the LCM of 2457 and 2462?
Answer:
Least Common Multiple of 2457 and 2462 = 6049134
Step 1: Find the prime factorization of 2457
2457 = 3 x 3 x 3 x 7 x 13
Step 2: Find the prime factorization of 2462
2462 = 2 x 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6049134 = 2 x 3 x 3 x 3 x 7 x 13 x 1231
Step 4: Therefore, the least common multiple of 2457 and 2462 is 6049134.