Least Common Multiple of 2449 and 2455
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 2455 the smallest integer that is 6012295 that is divisible by both numbers.
Least Common Multiple (LCM) of 2449 and 2455 is 6012295.
LCM(2449,2455) = 6012295
LCM of 2449 and 2455
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2449 and 2455 by Prime method
- Least Common Multiple of 2449 and 2455 with GCF Formula
LCM of 2449 and 2455 is 6012295
Least common multiple can be found by multiplying the highest exponent prime factors of 2449 and 2455. First we will calculate the prime factors of 2449 and 2455.
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 2455
| 5 | 2455 |
| 491 | 491 |
| 1 |
Prime factors of 2455 are 5,491. Prime factorization of 2455 in exponential form is:
2455 = 51×4911
Now multiplying the highest exponent prime factors to calculate the LCM of 2449 and 2455.
LCM(2449,2455) = 51×311×791×4911
LCM(2449,2455) = 6012295
Factors of 2449
List of positive integer factors of 2449 that divides 2449 without a remainder.
1, 31, 79, 2449
Factors of 2455
List of positive integer factors of 2455 that divides 2455 without a remainder.
1, 5, 491, 2455
Least Common Multiple of 2449 and 2455 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 2455, than apply into the LCM equation.
GCF(2449,2455) = 1
LCM(2449,2455) = ( 2449 × 2455) / 1
LCM(2449,2455) = 6012295 / 1
LCM(2449,2455) = 6012295
Properties of LCM 2449 and 2455
(i) The LCM of 2455 and 2449 is associative
LCM of 2449 and 2455 = LCM of 2455 and 2449
Related Least Common Multiples of 2449
Related Least Common Multiples of 2455
Frequently Asked Questions on LCM of 2449 and 2455
1. What is the LCM of 2449 and 2455?
Answer: LCM of 2449 and 2455 is 6012295.
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 2455?
Answer: Factors of 2455 are 1, 5, 491, 2455. There are 4 integers that are factors of 2455. The greatest factor of 2455 is 2455.
4. How to Find the LCM of 2449 and 2455?
Answer:
Least Common Multiple of 2449 and 2455 = 6012295
Step 1: Find the prime factorization of 2449
2449 = 31 x 79
Step 2: Find the prime factorization of 2455
2455 = 5 x 491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6012295 = 5 x 31 x 79 x 491
Step 4: Therefore, the least common multiple of 2449 and 2455 is 6012295.
