Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6285 and 6290 the smallest integer that is 7906530 that is divisible by both numbers.
Least Common Multiple (LCM) of 6285 and 6290 is 7906530.
LCM(6285,6290) = 7906530
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 6285 and 6290. First we will calculate the prime factors of 6285 and 6290.
Prime Factorization of 6285
3 | 6285 |
5 | 2095 |
419 | 419 |
1 |
Prime factors of 6285 are 3, 5,419. Prime factorization of 6285 in exponential form is:
6285 = 31×51×4191
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 6285 and 6290.
LCM(6285,6290) = 21×31×51×171×371×4191
LCM(6285,6290) = 7906530
Factors of 6285
List of positive integer factors of 6285 that divides 6285 without a remainder.
1, 3, 5, 15, 419, 1257, 2095, 6285
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 6285 and 6290, than apply into the LCM equation.
GCF(6285,6290) = 5
LCM(6285,6290) = ( 6285 × 6290) / 5
LCM(6285,6290) = 39532650 / 5
LCM(6285,6290) = 7906530
(i) The LCM of 6290 and 6285 is associative
LCM of 6285 and 6290 = LCM of 6290 and 6285
1. What is the LCM of 6285 and 6290?
Answer: LCM of 6285 and 6290 is 7906530.
2. What are the Factors of 6285?
Answer: Factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285. There are 8 integers that are factors of 6285. The greatest factor of 6285 is 6285.
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 6285 and 6290?
Answer:
Least Common Multiple of 6285 and 6290 = 7906530
Step 1: Find the prime factorization of 6285
6285 = 3 x 5 x 419
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 = 7906530 = 2 x 3 x 5 x 17 x 37 x 419
Step 4: Therefore, the least common multiple of 6285 and 6290 is 7906530.