Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6286 and 6290 the smallest integer that is 19769470 that is divisible by both numbers.
Least Common Multiple (LCM) of 6286 and 6290 is 19769470.
LCM(6286,6290) = 19769470
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 6286 and 6290. First we will calculate the prime factors of 6286 and 6290.
Prime Factorization of 6286
2 | 6286 |
7 | 3143 |
449 | 449 |
1 |
Prime factors of 6286 are 2, 7,449. Prime factorization of 6286 in exponential form is:
6286 = 21×71×4491
Prime Factorization of 6290
2 | 6290 |
5 | 3145 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 6290 are 2, 5, 17,37. Prime factorization of 6290 in exponential form is:
6290 = 21×51×171×371
Now multiplying the highest exponent prime factors to calculate the LCM of 6286 and 6290.
LCM(6286,6290) = 21×51×71×171×371×4491
LCM(6286,6290) = 19769470
Factors of 6286
List of positive integer factors of 6286 that divides 6286 without a remainder.
1, 2, 7, 14, 449, 898, 3143, 6286
Factors of 6290
List of positive integer factors of 6290 that divides 6290 without a remainder.
1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6286 and 6290, than apply into the LCM equation.
GCF(6286,6290) = 2
LCM(6286,6290) = ( 6286 × 6290) / 2
LCM(6286,6290) = 39538940 / 2
LCM(6286,6290) = 19769470
(i) The LCM of 6290 and 6286 is associative
LCM of 6286 and 6290 = LCM of 6290 and 6286
1. What is the LCM of 6286 and 6290?
Answer: LCM of 6286 and 6290 is 19769470.
2. What are the Factors of 6286?
Answer: Factors of 6286 are 1, 2, 7, 14, 449, 898, 3143, 6286. There are 8 integers that are factors of 6286. The greatest factor of 6286 is 6286.
3. What are the Factors of 6290?
Answer: Factors of 6290 are 1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290. There are 16 integers that are factors of 6290. The greatest factor of 6290 is 6290.
4. How to Find the LCM of 6286 and 6290?
Answer:
Least Common Multiple of 6286 and 6290 = 19769470
Step 1: Find the prime factorization of 6286
6286 = 2 x 7 x 449
Step 2: Find the prime factorization of 6290
6290 = 2 x 5 x 17 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19769470 = 2 x 5 x 7 x 17 x 37 x 449
Step 4: Therefore, the least common multiple of 6286 and 6290 is 19769470.