Least Common Multiple of 2450 and 2457
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 2457 the smallest integer that is 859950 that is divisible by both numbers.
Least Common Multiple (LCM) of 2450 and 2457 is 859950.
LCM(2450,2457) = 859950
LCM of 2450 and 2457
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2450 and 2457 by Prime method
- Least Common Multiple of 2450 and 2457 with GCF Formula
LCM of 2450 and 2457 is 859950
Least common multiple can be found by multiplying the highest exponent prime factors of 2450 and 2457. First we will calculate the prime factors of 2450 and 2457.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 2450 and 2457.
LCM(2450,2457) = 21×33×52×72×131
LCM(2450,2457) = 859950
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 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
Least Common Multiple of 2450 and 2457 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 2457, than apply into the LCM equation.
GCF(2450,2457) = 7
LCM(2450,2457) = ( 2450 × 2457) / 7
LCM(2450,2457) = 6019650 / 7
LCM(2450,2457) = 859950
Properties of LCM 2450 and 2457
(i) The LCM of 2457 and 2450 is associative
LCM of 2450 and 2457 = LCM of 2457 and 2450
Related Least Common Multiples of 2450
Related Least Common Multiples of 2457
Frequently Asked Questions on LCM of 2450 and 2457
1. What is the LCM of 2450 and 2457?
Answer: LCM of 2450 and 2457 is 859950.
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 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.
4. How to Find the LCM of 2450 and 2457?
Answer:
Least Common Multiple of 2450 and 2457 = 859950
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 2457
2457 = 3 x 3 x 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 859950 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 13
Step 4: Therefore, the least common multiple of 2450 and 2457 is 859950.