Least Common Multiple of 2449 and 2453
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2449 and 2453 the smallest integer that is 6007397 that is divisible by both numbers.
Least Common Multiple (LCM) of 2449 and 2453 is 6007397.
LCM(2449,2453) = 6007397
LCM of 2449 and 2453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2449 and 2453 by Prime method
- Least Common Multiple of 2449 and 2453 with GCF Formula
LCM of 2449 and 2453 is 6007397
Least common multiple can be found by multiplying the highest exponent prime factors of 2449 and 2453. First we will calculate the prime factors of 2449 and 2453.
Prime Factorization of 2449
| 31 | 2449 |
| 79 | 79 |
| 1 |
Prime factors of 2449 are 31,79. Prime factorization of 2449 in exponential form is:
2449 = 311×791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2449 and 2453.
LCM(2449,2453) = 111×311×791×2231
LCM(2449,2453) = 6007397
Factors of 2449
List of positive integer factors of 2449 that divides 2449 without a remainder.
1, 31, 79, 2449
Factors of 2453
List of positive integer factors of 2453 that divides 2453 without a remainder.
1, 11, 223, 2453
Least Common Multiple of 2449 and 2453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2449 and 2453, than apply into the LCM equation.
GCF(2449,2453) = 1
LCM(2449,2453) = ( 2449 × 2453) / 1
LCM(2449,2453) = 6007397 / 1
LCM(2449,2453) = 6007397
Properties of LCM 2449 and 2453
(i) The LCM of 2453 and 2449 is associative
LCM of 2449 and 2453 = LCM of 2453 and 2449
Related Least Common Multiples of 2449
Related Least Common Multiples of 2453
Frequently Asked Questions on LCM of 2449 and 2453
1. What is the LCM of 2449 and 2453?
Answer: LCM of 2449 and 2453 is 6007397.
2. What are the Factors of 2449?
Answer: Factors of 2449 are 1, 31, 79, 2449. There are 4 integers that are factors of 2449. The greatest factor of 2449 is 2449.
3. 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.
4. How to Find the LCM of 2449 and 2453?
Answer:
Least Common Multiple of 2449 and 2453 = 6007397
Step 1: Find the prime factorization of 2449
2449 = 31 x 79
Step 2: Find the prime factorization of 2453
2453 = 11 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6007397 = 11 x 31 x 79 x 223
Step 4: Therefore, the least common multiple of 2449 and 2453 is 6007397.