Least Common Multiple of 82387 and 82391
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 82387 and 82391 the smallest integer that is 6787947317 that is divisible by both numbers.
Least Common Multiple (LCM) of 82387 and 82391 is 6787947317.
LCM(82387,82391) = 6787947317
LCM of 82387 and 82391
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 82387 and 82391 by Prime method
- Least Common Multiple of 82387 and 82391 with GCF Formula
LCM of 82387 and 82391 is 6787947317
Least common multiple can be found by multiplying the highest exponent prime factors of 82387 and 82391. First we will calculate the prime factors of 82387 and 82391.
Prime Factorization of 82387
| 82387 | 82387 |
| 1 |
Prime factors of 82387 are 82387. Prime factorization of 82387 in exponential form is:
82387 = 823871
Prime Factorization of 82391
| 47 | 82391 |
| 1753 | 1753 |
| 1 |
Prime factors of 82391 are 47,1753. Prime factorization of 82391 in exponential form is:
82391 = 471×17531
Now multiplying the highest exponent prime factors to calculate the LCM of 82387 and 82391.
LCM(82387,82391) = 471×17531×823871
LCM(82387,82391) = 6787947317
Factors of 82387
List of positive integer factors of 82387 that divides 82387 without a remainder.
1, 82387
Factors of 82391
List of positive integer factors of 82391 that divides 82391 without a remainder.
1, 47, 1753, 82391
Least Common Multiple of 82387 and 82391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82387 and 82391, than apply into the LCM equation.
GCF(82387,82391) = 1
LCM(82387,82391) = ( 82387 × 82391) / 1
LCM(82387,82391) = 6787947317 / 1
LCM(82387,82391) = 6787947317
Properties of LCM 82387 and 82391
(i) The LCM of 82391 and 82387 is associative
LCM of 82387 and 82391 = LCM of 82391 and 82387
Related Least Common Multiples of 82387
Related Least Common Multiples of 82391
Frequently Asked Questions on LCM of 82387 and 82391
1. What is the LCM of 82387 and 82391?
Answer: LCM of 82387 and 82391 is 6787947317.
2. What are the Factors of 82387?
Answer: Factors of 82387 are 1, 82387. There are 2 integers that are factors of 82387. The greatest factor of 82387 is 82387.
3. What are the Factors of 82391?
Answer: Factors of 82391 are 1, 47, 1753, 82391. There are 4 integers that are factors of 82391. The greatest factor of 82391 is 82391.
4. How to Find the LCM of 82387 and 82391?
Answer:
Least Common Multiple of 82387 and 82391 = 6787947317
Step 1: Find the prime factorization of 82387
82387 = 82387
Step 2: Find the prime factorization of 82391
82391 = 47 x 1753
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6787947317 = 47 x 1753 x 82387
Step 4: Therefore, the least common multiple of 82387 and 82391 is 6787947317.