Least Common Multiple of 2450 and 2451
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2450 and 2451 the smallest integer that is 6004950 that is divisible by both numbers.
Least Common Multiple (LCM) of 2450 and 2451 is 6004950.
LCM(2450,2451) = 6004950
LCM of 2450 and 2451
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2450 and 2451 by Prime method
- Least Common Multiple of 2450 and 2451 with GCF Formula
LCM of 2450 and 2451 is 6004950
Least common multiple can be found by multiplying the highest exponent prime factors of 2450 and 2451. First we will calculate the prime factors of 2450 and 2451.
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
Prime Factorization of 2451
| 3 | 2451 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 2451 are 3, 19,43. Prime factorization of 2451 in exponential form is:
2451 = 31×191×431
Now multiplying the highest exponent prime factors to calculate the LCM of 2450 and 2451.
LCM(2450,2451) = 21×31×52×72×191×431
LCM(2450,2451) = 6004950
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
Factors of 2451
List of positive integer factors of 2451 that divides 2451 without a remainder.
1, 3, 19, 43, 57, 129, 817, 2451
Least Common Multiple of 2450 and 2451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2450 and 2451, than apply into the LCM equation.
GCF(2450,2451) = 1
LCM(2450,2451) = ( 2450 × 2451) / 1
LCM(2450,2451) = 6004950 / 1
LCM(2450,2451) = 6004950
Properties of LCM 2450 and 2451
(i) The LCM of 2451 and 2450 is associative
LCM of 2450 and 2451 = LCM of 2451 and 2450
Related Least Common Multiples of 2450
Related Least Common Multiples of 2451
Frequently Asked Questions on LCM of 2450 and 2451
1. What is the LCM of 2450 and 2451?
Answer: LCM of 2450 and 2451 is 6004950.
2. 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.
3. What are the Factors of 2451?
Answer: Factors of 2451 are 1, 3, 19, 43, 57, 129, 817, 2451. There are 8 integers that are factors of 2451. The greatest factor of 2451 is 2451.
4. How to Find the LCM of 2450 and 2451?
Answer:
Least Common Multiple of 2450 and 2451 = 6004950
Step 1: Find the prime factorization of 2450
2450 = 2 x 5 x 5 x 7 x 7
Step 2: Find the prime factorization of 2451
2451 = 3 x 19 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6004950 = 2 x 3 x 5 x 5 x 7 x 7 x 19 x 43
Step 4: Therefore, the least common multiple of 2450 and 2451 is 6004950.