Least Common Multiple of 250 and 257
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 250 and 257 the smallest integer that is 64250 that is divisible by both numbers.
Least Common Multiple (LCM) of 250 and 257 is 64250.
LCM(250,257) = 64250
LCM of 250 and 257
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 250 and 257 by Prime method
- Least Common Multiple of 250 and 257 with GCF Formula
LCM of 250 and 257 is 64250
Least common multiple can be found by multiplying the highest exponent prime factors of 250 and 257. First we will calculate the prime factors of 250 and 257.
Prime Factorization of 250
| 2 | 250 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 250 are 2,5. Prime factorization of 250 in exponential form is:
250 = 21×53
Prime Factorization of 257
| 257 | 257 |
| 1 |
Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:
257 = 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 250 and 257.
LCM(250,257) = 21×53×2571
LCM(250,257) = 64250
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1, 257
Least Common Multiple of 250 and 257 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 250 and 257, than apply into the LCM equation.
GCF(250,257) = 1
LCM(250,257) = ( 250 × 257) / 1
LCM(250,257) = 64250 / 1
LCM(250,257) = 64250
Properties of LCM 250 and 257
(i) The LCM of 257 and 250 is associative
LCM of 250 and 257 = LCM of 257 and 250
Related Least Common Multiples of 250
Related Least Common Multiples of 257
Frequently Asked Questions on LCM of 250 and 257
1. What is the LCM of 250 and 257?
Answer: LCM of 250 and 257 is 64250.
2. What are the Factors of 250?
Answer: Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250. There are 8 integers that are factors of 250. The greatest factor of 250 is 250.
3. What are the Factors of 257?
Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.
4. How to Find the LCM of 250 and 257?
Answer:
Least Common Multiple of 250 and 257 = 64250
Step 1: Find the prime factorization of 250
250 = 2 x 5 x 5 x 5
Step 2: Find the prime factorization of 257
257 = 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64250 = 2 x 5 x 5 x 5 x 257
Step 4: Therefore, the least common multiple of 250 and 257 is 64250.
