Least Common Multiple of 8281 and 8285
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 8285 the smallest integer that is 68608085 that is divisible by both numbers.
Least Common Multiple (LCM) of 8281 and 8285 is 68608085.
LCM(8281,8285) = 68608085
LCM of 8281 and 8285
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8281 and 8285 by Prime method
- Least Common Multiple of 8281 and 8285 with GCF Formula
LCM of 8281 and 8285 is 68608085
Least common multiple can be found by multiplying the highest exponent prime factors of 8281 and 8285. First we will calculate the prime factors of 8281 and 8285.
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 8285
| 5 | 8285 |
| 1657 | 1657 |
| 1 |
Prime factors of 8285 are 5,1657. Prime factorization of 8285 in exponential form is:
8285 = 51×16571
Now multiplying the highest exponent prime factors to calculate the LCM of 8281 and 8285.
LCM(8281,8285) = 51×72×132×16571
LCM(8281,8285) = 68608085
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 8285
List of positive integer factors of 8285 that divides 8285 without a remainder.
1, 5, 1657, 8285
Least Common Multiple of 8281 and 8285 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 8285, than apply into the LCM equation.
GCF(8281,8285) = 1
LCM(8281,8285) = ( 8281 × 8285) / 1
LCM(8281,8285) = 68608085 / 1
LCM(8281,8285) = 68608085
Properties of LCM 8281 and 8285
(i) The LCM of 8285 and 8281 is associative
LCM of 8281 and 8285 = LCM of 8285 and 8281
Related Least Common Multiples of 8281
Related Least Common Multiples of 8285
Frequently Asked Questions on LCM of 8281 and 8285
1. What is the LCM of 8281 and 8285?
Answer: LCM of 8281 and 8285 is 68608085.
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 8285?
Answer: Factors of 8285 are 1, 5, 1657, 8285. There are 4 integers that are factors of 8285. The greatest factor of 8285 is 8285.
4. How to Find the LCM of 8281 and 8285?
Answer:
Least Common Multiple of 8281 and 8285 = 68608085
Step 1: Find the prime factorization of 8281
8281 = 7 x 7 x 13 x 13
Step 2: Find the prime factorization of 8285
8285 = 5 x 1657
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68608085 = 5 x 7 x 7 x 13 x 13 x 1657
Step 4: Therefore, the least common multiple of 8281 and 8285 is 68608085.