Least Common Multiple of 8279 and 8283
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 8283 the smallest integer that is 68574957 that is divisible by both numbers.
Least Common Multiple (LCM) of 8279 and 8283 is 68574957.
LCM(8279,8283) = 68574957
LCM of 8279 and 8283
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8279 and 8283 by Prime method
- Least Common Multiple of 8279 and 8283 with GCF Formula
LCM of 8279 and 8283 is 68574957
Least common multiple can be found by multiplying the highest exponent prime factors of 8279 and 8283. First we will calculate the prime factors of 8279 and 8283.
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 8283
| 3 | 8283 |
| 11 | 2761 |
| 251 | 251 |
| 1 |
Prime factors of 8283 are 3, 11,251. Prime factorization of 8283 in exponential form is:
8283 = 31×111×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 8279 and 8283.
LCM(8279,8283) = 31×111×171×2511×4871
LCM(8279,8283) = 68574957
Factors of 8279
List of positive integer factors of 8279 that divides 8279 without a remainder.
1, 17, 487, 8279
Factors of 8283
List of positive integer factors of 8283 that divides 8283 without a remainder.
1, 3, 11, 33, 251, 753, 2761, 8283
Least Common Multiple of 8279 and 8283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8279 and 8283, than apply into the LCM equation.
GCF(8279,8283) = 1
LCM(8279,8283) = ( 8279 × 8283) / 1
LCM(8279,8283) = 68574957 / 1
LCM(8279,8283) = 68574957
Properties of LCM 8279 and 8283
(i) The LCM of 8283 and 8279 is associative
LCM of 8279 and 8283 = LCM of 8283 and 8279
Related Least Common Multiples of 8279
Related Least Common Multiples of 8283
Frequently Asked Questions on LCM of 8279 and 8283
1. What is the LCM of 8279 and 8283?
Answer: LCM of 8279 and 8283 is 68574957.
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 8283?
Answer: Factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283. There are 8 integers that are factors of 8283. The greatest factor of 8283 is 8283.
4. How to Find the LCM of 8279 and 8283?
Answer:
Least Common Multiple of 8279 and 8283 = 68574957
Step 1: Find the prime factorization of 8279
8279 = 17 x 487
Step 2: Find the prime factorization of 8283
8283 = 3 x 11 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68574957 = 3 x 11 x 17 x 251 x 487
Step 4: Therefore, the least common multiple of 8279 and 8283 is 68574957.