Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6241 and 6247 the smallest integer that is 38987527 that is divisible by both numbers.
Least Common Multiple (LCM) of 6241 and 6247 is 38987527.
LCM(6241,6247) = 38987527
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 6241 and 6247. First we will calculate the prime factors of 6241 and 6247.
Prime Factorization of 6241
79 | 6241 |
79 | 79 |
1 |
Prime factors of 6241 are 79. Prime factorization of 6241 in exponential form is:
6241 = 792
Prime Factorization of 6247
6247 | 6247 |
1 |
Prime factors of 6247 are 6247. Prime factorization of 6247 in exponential form is:
6247 = 62471
Now multiplying the highest exponent prime factors to calculate the LCM of 6241 and 6247.
LCM(6241,6247) = 792×62471
LCM(6241,6247) = 38987527
Factors of 6241
List of positive integer factors of 6241 that divides 6241 without a remainder.
1, 79, 6241
Factors of 6247
List of positive integer factors of 6247 that divides 6247 without a remainder.
1, 6247
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6241 and 6247, than apply into the LCM equation.
GCF(6241,6247) = 1
LCM(6241,6247) = ( 6241 × 6247) / 1
LCM(6241,6247) = 38987527 / 1
LCM(6241,6247) = 38987527
(i) The LCM of 6247 and 6241 is associative
LCM of 6241 and 6247 = LCM of 6247 and 6241
1. What is the LCM of 6241 and 6247?
Answer: LCM of 6241 and 6247 is 38987527.
2. What are the Factors of 6241?
Answer: Factors of 6241 are 1, 79, 6241. There are 3 integers that are factors of 6241. The greatest factor of 6241 is 6241.
3. What are the Factors of 6247?
Answer: Factors of 6247 are 1, 6247. There are 2 integers that are factors of 6247. The greatest factor of 6247 is 6247.
4. How to Find the LCM of 6241 and 6247?
Answer:
Least Common Multiple of 6241 and 6247 = 38987527
Step 1: Find the prime factorization of 6241
6241 = 79 x 79
Step 2: Find the prime factorization of 6247
6247 = 6247
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38987527 = 79 x 79 x 6247
Step 4: Therefore, the least common multiple of 6241 and 6247 is 38987527.