Least Common Multiple of 8281 and 8287
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8281 and 8287 the smallest integer that is 68624647 that is divisible by both numbers.
Least Common Multiple (LCM) of 8281 and 8287 is 68624647.
LCM(8281,8287) = 68624647
LCM of 8281 and 8287
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8281 and 8287 by Prime method
- Least Common Multiple of 8281 and 8287 with GCF Formula
LCM of 8281 and 8287 is 68624647
Least common multiple can be found by multiplying the highest exponent prime factors of 8281 and 8287. First we will calculate the prime factors of 8281 and 8287.
Prime Factorization of 8281
| 7 | 8281 |
| 7 | 1183 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 8281 are 7,13. Prime factorization of 8281 in exponential form is:
8281 = 72×132
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 8281 and 8287.
LCM(8281,8287) = 72×132×82871
LCM(8281,8287) = 68624647
Factors of 8281
List of positive integer factors of 8281 that divides 8281 without a remainder.
1, 7, 13, 49, 91, 169, 637, 1183, 8281
Factors of 8287
List of positive integer factors of 8287 that divides 8287 without a remainder.
1, 8287
Least Common Multiple of 8281 and 8287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8281 and 8287, than apply into the LCM equation.
GCF(8281,8287) = 1
LCM(8281,8287) = ( 8281 × 8287) / 1
LCM(8281,8287) = 68624647 / 1
LCM(8281,8287) = 68624647
Properties of LCM 8281 and 8287
(i) The LCM of 8287 and 8281 is associative
LCM of 8281 and 8287 = LCM of 8287 and 8281
Related Least Common Multiples of 8281
Related Least Common Multiples of 8287
Frequently Asked Questions on LCM of 8281 and 8287
1. What is the LCM of 8281 and 8287?
Answer: LCM of 8281 and 8287 is 68624647.
2. What are the Factors of 8281?
Answer: Factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281. There are 9 integers that are factors of 8281. The greatest factor of 8281 is 8281.
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 8281 and 8287?
Answer:
Least Common Multiple of 8281 and 8287 = 68624647
Step 1: Find the prime factorization of 8281
8281 = 7 x 7 x 13 x 13
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 = 68624647 = 7 x 7 x 13 x 13 x 8287
Step 4: Therefore, the least common multiple of 8281 and 8287 is 68624647.