Least Common Multiple of 82354 and 82361
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 82354 and 82361 the smallest integer that is 6782757794 that is divisible by both numbers.
Least Common Multiple (LCM) of 82354 and 82361 is 6782757794.
LCM(82354,82361) = 6782757794
LCM of 82354 and 82361
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 82354 and 82361 by Prime method
- Least Common Multiple of 82354 and 82361 with GCF Formula
LCM of 82354 and 82361 is 6782757794
Least common multiple can be found by multiplying the highest exponent prime factors of 82354 and 82361. First we will calculate the prime factors of 82354 and 82361.
Prime Factorization of 82354
| 2 | 82354 |
| 41177 | 41177 |
| 1 |
Prime factors of 82354 are 2,41177. Prime factorization of 82354 in exponential form is:
82354 = 21×411771
Prime Factorization of 82361
| 82361 | 82361 |
| 1 |
Prime factors of 82361 are 82361. Prime factorization of 82361 in exponential form is:
82361 = 823611
Now multiplying the highest exponent prime factors to calculate the LCM of 82354 and 82361.
LCM(82354,82361) = 21×411771×823611
LCM(82354,82361) = 6782757794
Factors of 82354
List of positive integer factors of 82354 that divides 82354 without a remainder.
1, 2, 41177, 82354
Factors of 82361
List of positive integer factors of 82361 that divides 82361 without a remainder.
1, 82361
Least Common Multiple of 82354 and 82361 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82354 and 82361, than apply into the LCM equation.
GCF(82354,82361) = 1
LCM(82354,82361) = ( 82354 × 82361) / 1
LCM(82354,82361) = 6782757794 / 1
LCM(82354,82361) = 6782757794
Properties of LCM 82354 and 82361
(i) The LCM of 82361 and 82354 is associative
LCM of 82354 and 82361 = LCM of 82361 and 82354
Related Least Common Multiples of 82354
Related Least Common Multiples of 82361
Frequently Asked Questions on LCM of 82354 and 82361
1. What is the LCM of 82354 and 82361?
Answer: LCM of 82354 and 82361 is 6782757794.
2. What are the Factors of 82354?
Answer: Factors of 82354 are 1, 2, 41177, 82354. There are 4 integers that are factors of 82354. The greatest factor of 82354 is 82354.
3. What are the Factors of 82361?
Answer: Factors of 82361 are 1, 82361. There are 2 integers that are factors of 82361. The greatest factor of 82361 is 82361.
4. How to Find the LCM of 82354 and 82361?
Answer:
Least Common Multiple of 82354 and 82361 = 6782757794
Step 1: Find the prime factorization of 82354
82354 = 2 x 41177
Step 2: Find the prime factorization of 82361
82361 = 82361
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6782757794 = 2 x 41177 x 82361
Step 4: Therefore, the least common multiple of 82354 and 82361 is 6782757794.