Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6287 and 6292 the smallest integer that is 39557804 that is divisible by both numbers.
Least Common Multiple (LCM) of 6287 and 6292 is 39557804.
LCM(6287,6292) = 39557804
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 6287 and 6292. First we will calculate the prime factors of 6287 and 6292.
Prime Factorization of 6287
6287 | 6287 |
1 |
Prime factors of 6287 are 6287. Prime factorization of 6287 in exponential form is:
6287 = 62871
Prime Factorization of 6292
2 | 6292 |
2 | 3146 |
11 | 1573 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 6292 are 2, 11,13. Prime factorization of 6292 in exponential form is:
6292 = 22×112×131
Now multiplying the highest exponent prime factors to calculate the LCM of 6287 and 6292.
LCM(6287,6292) = 22×112×131×62871
LCM(6287,6292) = 39557804
Factors of 6287
List of positive integer factors of 6287 that divides 6287 without a remainder.
1, 6287
Factors of 6292
List of positive integer factors of 6292 that divides 6292 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6287 and 6292, than apply into the LCM equation.
GCF(6287,6292) = 1
LCM(6287,6292) = ( 6287 × 6292) / 1
LCM(6287,6292) = 39557804 / 1
LCM(6287,6292) = 39557804
(i) The LCM of 6292 and 6287 is associative
LCM of 6287 and 6292 = LCM of 6292 and 6287
1. What is the LCM of 6287 and 6292?
Answer: LCM of 6287 and 6292 is 39557804.
2. What are the Factors of 6287?
Answer: Factors of 6287 are 1, 6287. There are 2 integers that are factors of 6287. The greatest factor of 6287 is 6287.
3. What are the Factors of 6292?
Answer: Factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292. There are 18 integers that are factors of 6292. The greatest factor of 6292 is 6292.
4. How to Find the LCM of 6287 and 6292?
Answer:
Least Common Multiple of 6287 and 6292 = 39557804
Step 1: Find the prime factorization of 6287
6287 = 6287
Step 2: Find the prime factorization of 6292
6292 = 2 x 2 x 11 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39557804 = 2 x 2 x 11 x 11 x 13 x 6287
Step 4: Therefore, the least common multiple of 6287 and 6292 is 39557804.