Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6257 and 6259 the smallest integer that is 39162563 that is divisible by both numbers.
Least Common Multiple (LCM) of 6257 and 6259 is 39162563.
LCM(6257,6259) = 39162563
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6257 and 6259. First we will calculate the prime factors of 6257 and 6259.
Prime Factorization of 6257
6257 | 6257 |
1 |
Prime factors of 6257 are 6257. Prime factorization of 6257 in exponential form is:
6257 = 62571
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 6257 and 6259.
LCM(6257,6259) = 111×5691×62571
LCM(6257,6259) = 39162563
Factors of 6257
List of positive integer factors of 6257 that divides 6257 without a remainder.
1, 6257
Factors of 6259
List of positive integer factors of 6259 that divides 6259 without a remainder.
1, 11, 569, 6259
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6257 and 6259, than apply into the LCM equation.
GCF(6257,6259) = 1
LCM(6257,6259) = ( 6257 × 6259) / 1
LCM(6257,6259) = 39162563 / 1
LCM(6257,6259) = 39162563
(i) The LCM of 6259 and 6257 is associative
LCM of 6257 and 6259 = LCM of 6259 and 6257
1. What is the LCM of 6257 and 6259?
Answer: LCM of 6257 and 6259 is 39162563.
2. What are the Factors of 6257?
Answer: Factors of 6257 are 1, 6257. There are 2 integers that are factors of 6257. The greatest factor of 6257 is 6257.
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 6257 and 6259?
Answer:
Least Common Multiple of 6257 and 6259 = 39162563
Step 1: Find the prime factorization of 6257
6257 = 6257
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 = 39162563 = 11 x 569 x 6257
Step 4: Therefore, the least common multiple of 6257 and 6259 is 39162563.