Least Common Multiple of 6253 and 6259
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6253 and 6259 the smallest integer that is 39137527 that is divisible by both numbers.
Least Common Multiple (LCM) of 6253 and 6259 is 39137527.
LCM(6253,6259) = 39137527
LCM of 6253 and 6259
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6253 and 6259 by Prime method
- Least Common Multiple of 6253 and 6259 with GCF Formula
LCM of 6253 and 6259 is 39137527
Least common multiple can be found by multiplying the highest exponent prime factors of 6253 and 6259. First we will calculate the prime factors of 6253 and 6259.
Prime Factorization of 6253
| 13 | 6253 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 6253 are 13,37. Prime factorization of 6253 in exponential form is:
6253 = 132×371
Prime Factorization of 6259
| 11 | 6259 |
| 569 | 569 |
| 1 |
Prime factors of 6259 are 11,569. Prime factorization of 6259 in exponential form is:
6259 = 111×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 6253 and 6259.
LCM(6253,6259) = 111×132×371×5691
LCM(6253,6259) = 39137527
Factors of 6253
List of positive integer factors of 6253 that divides 6253 without a remainder.
1, 13, 37, 169, 481, 6253
Factors of 6259
List of positive integer factors of 6259 that divides 6259 without a remainder.
1, 11, 569, 6259
Least Common Multiple of 6253 and 6259 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6253 and 6259, than apply into the LCM equation.
GCF(6253,6259) = 1
LCM(6253,6259) = ( 6253 × 6259) / 1
LCM(6253,6259) = 39137527 / 1
LCM(6253,6259) = 39137527
Properties of LCM 6253 and 6259
(i) The LCM of 6259 and 6253 is associative
LCM of 6253 and 6259 = LCM of 6259 and 6253
Related Least Common Multiples of 6253
Related Least Common Multiples of 6259
Frequently Asked Questions on LCM of 6253 and 6259
1. What is the LCM of 6253 and 6259?
Answer: LCM of 6253 and 6259 is 39137527.
2. What are the Factors of 6253?
Answer: Factors of 6253 are 1, 13, 37, 169, 481, 6253. There are 6 integers that are factors of 6253. The greatest factor of 6253 is 6253.
3. What are the Factors of 6259?
Answer: Factors of 6259 are 1, 11, 569, 6259. There are 4 integers that are factors of 6259. The greatest factor of 6259 is 6259.
4. How to Find the LCM of 6253 and 6259?
Answer:
Least Common Multiple of 6253 and 6259 = 39137527
Step 1: Find the prime factorization of 6253
6253 = 13 x 13 x 37
Step 2: Find the prime factorization of 6259
6259 = 11 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39137527 = 11 x 13 x 13 x 37 x 569
Step 4: Therefore, the least common multiple of 6253 and 6259 is 39137527.