Least Common Multiple of 82367 and 82371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 82367 and 82371 the smallest integer that is 6784652157 that is divisible by both numbers.
Least Common Multiple (LCM) of 82367 and 82371 is 6784652157.
LCM(82367,82371) = 6784652157
LCM of 82367 and 82371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 82367 and 82371 by Prime method
- Least Common Multiple of 82367 and 82371 with GCF Formula
LCM of 82367 and 82371 is 6784652157
Least common multiple can be found by multiplying the highest exponent prime factors of 82367 and 82371. First we will calculate the prime factors of 82367 and 82371.
Prime Factorization of 82367
| 31 | 82367 |
| 2657 | 2657 |
| 1 |
Prime factors of 82367 are 31,2657. Prime factorization of 82367 in exponential form is:
82367 = 311×26571
Prime Factorization of 82371
| 3 | 82371 |
| 27457 | 27457 |
| 1 |
Prime factors of 82371 are 3,27457. Prime factorization of 82371 in exponential form is:
82371 = 31×274571
Now multiplying the highest exponent prime factors to calculate the LCM of 82367 and 82371.
LCM(82367,82371) = 31×311×26571×274571
LCM(82367,82371) = 6784652157
Factors of 82367
List of positive integer factors of 82367 that divides 82367 without a remainder.
1, 31, 2657, 82367
Factors of 82371
List of positive integer factors of 82371 that divides 82371 without a remainder.
1, 3, 27457, 82371
Least Common Multiple of 82367 and 82371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82367 and 82371, than apply into the LCM equation.
GCF(82367,82371) = 1
LCM(82367,82371) = ( 82367 × 82371) / 1
LCM(82367,82371) = 6784652157 / 1
LCM(82367,82371) = 6784652157
Properties of LCM 82367 and 82371
(i) The LCM of 82371 and 82367 is associative
LCM of 82367 and 82371 = LCM of 82371 and 82367
Related Least Common Multiples of 82367
Related Least Common Multiples of 82371
Frequently Asked Questions on LCM of 82367 and 82371
1. What is the LCM of 82367 and 82371?
Answer: LCM of 82367 and 82371 is 6784652157.
2. What are the Factors of 82367?
Answer: Factors of 82367 are 1, 31, 2657, 82367. There are 4 integers that are factors of 82367. The greatest factor of 82367 is 82367.
3. What are the Factors of 82371?
Answer: Factors of 82371 are 1, 3, 27457, 82371. There are 4 integers that are factors of 82371. The greatest factor of 82371 is 82371.
4. How to Find the LCM of 82367 and 82371?
Answer:
Least Common Multiple of 82367 and 82371 = 6784652157
Step 1: Find the prime factorization of 82367
82367 = 31 x 2657
Step 2: Find the prime factorization of 82371
82371 = 3 x 27457
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6784652157 = 3 x 31 x 2657 x 27457
Step 4: Therefore, the least common multiple of 82367 and 82371 is 6784652157.