Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6280 and 6285 the smallest integer that is 7893960 that is divisible by both numbers.
Least Common Multiple (LCM) of 6280 and 6285 is 7893960.
LCM(6280,6285) = 7893960
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 6280 and 6285. First we will calculate the prime factors of 6280 and 6285.
Prime Factorization of 6280
2 | 6280 |
2 | 3140 |
2 | 1570 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 6280 are 2, 5,157. Prime factorization of 6280 in exponential form is:
6280 = 23×51×1571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6280 and 6285.
LCM(6280,6285) = 23×31×51×1571×4191
LCM(6280,6285) = 7893960
Factors of 6280
List of positive integer factors of 6280 that divides 6280 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280
Factors of 6285
List of positive integer factors of 6285 that divides 6285 without a remainder.
1, 3, 5, 15, 419, 1257, 2095, 6285
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6280 and 6285, than apply into the LCM equation.
GCF(6280,6285) = 5
LCM(6280,6285) = ( 6280 × 6285) / 5
LCM(6280,6285) = 39469800 / 5
LCM(6280,6285) = 7893960
(i) The LCM of 6285 and 6280 is associative
LCM of 6280 and 6285 = LCM of 6285 and 6280
1. What is the LCM of 6280 and 6285?
Answer: LCM of 6280 and 6285 is 7893960.
2. What are the Factors of 6280?
Answer: Factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280. There are 16 integers that are factors of 6280. The greatest factor of 6280 is 6280.
3. 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.
4. How to Find the LCM of 6280 and 6285?
Answer:
Least Common Multiple of 6280 and 6285 = 7893960
Step 1: Find the prime factorization of 6280
6280 = 2 x 2 x 2 x 5 x 157
Step 2: Find the prime factorization of 6285
6285 = 3 x 5 x 419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7893960 = 2 x 2 x 2 x 3 x 5 x 157 x 419
Step 4: Therefore, the least common multiple of 6280 and 6285 is 7893960.