Least Common Multiple of 2449 and 2450
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 2450 the smallest integer that is 6000050 that is divisible by both numbers.
Least Common Multiple (LCM) of 2449 and 2450 is 6000050.
LCM(2449,2450) = 6000050
LCM of 2449 and 2450
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2449 and 2450 by Prime method
- Least Common Multiple of 2449 and 2450 with GCF Formula
LCM of 2449 and 2450 is 6000050
Least common multiple can be found by multiplying the highest exponent prime factors of 2449 and 2450. First we will calculate the prime factors of 2449 and 2450.
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 2450
| 2 | 2450 |
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 2450 are 2, 5,7. Prime factorization of 2450 in exponential form is:
2450 = 21×52×72
Now multiplying the highest exponent prime factors to calculate the LCM of 2449 and 2450.
LCM(2449,2450) = 21×52×72×311×791
LCM(2449,2450) = 6000050
Factors of 2449
List of positive integer factors of 2449 that divides 2449 without a remainder.
1, 31, 79, 2449
Factors of 2450
List of positive integer factors of 2450 that divides 2450 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450
Least Common Multiple of 2449 and 2450 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 2450, than apply into the LCM equation.
GCF(2449,2450) = 1
LCM(2449,2450) = ( 2449 × 2450) / 1
LCM(2449,2450) = 6000050 / 1
LCM(2449,2450) = 6000050
Properties of LCM 2449 and 2450
(i) The LCM of 2450 and 2449 is associative
LCM of 2449 and 2450 = LCM of 2450 and 2449
Related Least Common Multiples of 2449
Related Least Common Multiples of 2450
Frequently Asked Questions on LCM of 2449 and 2450
1. What is the LCM of 2449 and 2450?
Answer: LCM of 2449 and 2450 is 6000050.
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 2450?
Answer: Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. There are 18 integers that are factors of 2450. The greatest factor of 2450 is 2450.
4. How to Find the LCM of 2449 and 2450?
Answer:
Least Common Multiple of 2449 and 2450 = 6000050
Step 1: Find the prime factorization of 2449
2449 = 31 x 79
Step 2: Find the prime factorization of 2450
2450 = 2 x 5 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6000050 = 2 x 5 x 5 x 7 x 7 x 31 x 79
Step 4: Therefore, the least common multiple of 2449 and 2450 is 6000050.