Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8279 and 8287 the smallest integer that is 68608073 that is divisible by both numbers.
Least Common Multiple (LCM) of 8279 and 8287 is 68608073.
LCM(8279,8287) = 68608073
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 8279 and 8287. First we will calculate the prime factors of 8279 and 8287.
Prime Factorization of 8279
17 | 8279 |
487 | 487 |
1 |
Prime factors of 8279 are 17,487. Prime factorization of 8279 in exponential form is:
8279 = 171×4871
Prime Factorization of 8287
8287 | 8287 |
1 |
Prime factors of 8287 are 8287. Prime factorization of 8287 in exponential form is:
8287 = 82871
Now multiplying the highest exponent prime factors to calculate the LCM of 8279 and 8287.
LCM(8279,8287) = 171×4871×82871
LCM(8279,8287) = 68608073
Factors of 8279
List of positive integer factors of 8279 that divides 8279 without a remainder.
1, 17, 487, 8279
Factors of 8287
List of positive integer factors of 8287 that divides 8287 without a remainder.
1, 8287
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8279 and 8287, than apply into the LCM equation.
GCF(8279,8287) = 1
LCM(8279,8287) = ( 8279 × 8287) / 1
LCM(8279,8287) = 68608073 / 1
LCM(8279,8287) = 68608073
(i) The LCM of 8287 and 8279 is associative
LCM of 8279 and 8287 = LCM of 8287 and 8279
1. What is the LCM of 8279 and 8287?
Answer: LCM of 8279 and 8287 is 68608073.
2. What are the Factors of 8279?
Answer: Factors of 8279 are 1, 17, 487, 8279. There are 4 integers that are factors of 8279. The greatest factor of 8279 is 8279.
3. What are the Factors of 8287?
Answer: Factors of 8287 are 1, 8287. There are 2 integers that are factors of 8287. The greatest factor of 8287 is 8287.
4. How to Find the LCM of 8279 and 8287?
Answer:
Least Common Multiple of 8279 and 8287 = 68608073
Step 1: Find the prime factorization of 8279
8279 = 17 x 487
Step 2: Find the prime factorization of 8287
8287 = 8287
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68608073 = 17 x 487 x 8287
Step 4: Therefore, the least common multiple of 8279 and 8287 is 68608073.