Least Common Multiple of 6250 and 6255
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6250 and 6255 the smallest integer that is 7818750 that is divisible by both numbers.
Least Common Multiple (LCM) of 6250 and 6255 is 7818750.
LCM(6250,6255) = 7818750
LCM of 6250 and 6255
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6250 and 6255 by Prime method
- Least Common Multiple of 6250 and 6255 with GCF Formula
LCM of 6250 and 6255 is 7818750
Least common multiple can be found by multiplying the highest exponent prime factors of 6250 and 6255. First we will calculate the prime factors of 6250 and 6255.
Prime Factorization of 6250
| 2 | 6250 |
| 5 | 3125 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 6250 are 2,5. Prime factorization of 6250 in exponential form is:
6250 = 21×55
Prime Factorization of 6255
| 3 | 6255 |
| 3 | 2085 |
| 5 | 695 |
| 139 | 139 |
| 1 |
Prime factors of 6255 are 3, 5,139. Prime factorization of 6255 in exponential form is:
6255 = 32×51×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 6250 and 6255.
LCM(6250,6255) = 21×32×55×1391
LCM(6250,6255) = 7818750
Factors of 6250
List of positive integer factors of 6250 that divides 6250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250
Factors of 6255
List of positive integer factors of 6255 that divides 6255 without a remainder.
1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255
Least Common Multiple of 6250 and 6255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6250 and 6255, than apply into the LCM equation.
GCF(6250,6255) = 5
LCM(6250,6255) = ( 6250 × 6255) / 5
LCM(6250,6255) = 39093750 / 5
LCM(6250,6255) = 7818750
Properties of LCM 6250 and 6255
(i) The LCM of 6255 and 6250 is associative
LCM of 6250 and 6255 = LCM of 6255 and 6250
Related Least Common Multiples of 6250
Related Least Common Multiples of 6255
Frequently Asked Questions on LCM of 6250 and 6255
1. What is the LCM of 6250 and 6255?
Answer: LCM of 6250 and 6255 is 7818750.
2. What are the Factors of 6250?
Answer: Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250. There are 12 integers that are factors of 6250. The greatest factor of 6250 is 6250.
3. What are the Factors of 6255?
Answer: Factors of 6255 are 1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255. There are 12 integers that are factors of 6255. The greatest factor of 6255 is 6255.
4. How to Find the LCM of 6250 and 6255?
Answer:
Least Common Multiple of 6250 and 6255 = 7818750
Step 1: Find the prime factorization of 6250
6250 = 2 x 5 x 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 6255
6255 = 3 x 3 x 5 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7818750 = 2 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 139
Step 4: Therefore, the least common multiple of 6250 and 6255 is 7818750.