Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6246 and 6247 the smallest integer that is 39018762 that is divisible by both numbers.
Least Common Multiple (LCM) of 6246 and 6247 is 39018762.
LCM(6246,6247) = 39018762
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 6246 and 6247. First we will calculate the prime factors of 6246 and 6247.
Prime Factorization of 6246
2 | 6246 |
3 | 3123 |
3 | 1041 |
347 | 347 |
1 |
Prime factors of 6246 are 2, 3,347. Prime factorization of 6246 in exponential form is:
6246 = 21×32×3471
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 6246 and 6247.
LCM(6246,6247) = 21×32×3471×62471
LCM(6246,6247) = 39018762
Factors of 6246
List of positive integer factors of 6246 that divides 6246 without a remainder.
1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246
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 6246 and 6247, than apply into the LCM equation.
GCF(6246,6247) = 1
LCM(6246,6247) = ( 6246 × 6247) / 1
LCM(6246,6247) = 39018762 / 1
LCM(6246,6247) = 39018762
(i) The LCM of 6247 and 6246 is associative
LCM of 6246 and 6247 = LCM of 6247 and 6246
1. What is the LCM of 6246 and 6247?
Answer: LCM of 6246 and 6247 is 39018762.
2. What are the Factors of 6246?
Answer: Factors of 6246 are 1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246. There are 12 integers that are factors of 6246. The greatest factor of 6246 is 6246.
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 6246 and 6247?
Answer:
Least Common Multiple of 6246 and 6247 = 39018762
Step 1: Find the prime factorization of 6246
6246 = 2 x 3 x 3 x 347
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 = 39018762 = 2 x 3 x 3 x 347 x 6247
Step 4: Therefore, the least common multiple of 6246 and 6247 is 39018762.