Least Common Multiple of 8381 and 8387
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8381 and 8387 the smallest integer that is 70291447 that is divisible by both numbers.
Least Common Multiple (LCM) of 8381 and 8387 is 70291447.
LCM(8381,8387) = 70291447
LCM of 8381 and 8387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8381 and 8387 by Prime method
- Least Common Multiple of 8381 and 8387 with GCF Formula
LCM of 8381 and 8387 is 70291447
Least common multiple can be found by multiplying the highest exponent prime factors of 8381 and 8387. First we will calculate the prime factors of 8381 and 8387.
Prime Factorization of 8381
| 17 | 8381 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 8381 are 17,29. Prime factorization of 8381 in exponential form is:
8381 = 172×291
Prime Factorization of 8387
| 8387 | 8387 |
| 1 |
Prime factors of 8387 are 8387. Prime factorization of 8387 in exponential form is:
8387 = 83871
Now multiplying the highest exponent prime factors to calculate the LCM of 8381 and 8387.
LCM(8381,8387) = 172×291×83871
LCM(8381,8387) = 70291447
Factors of 8381
List of positive integer factors of 8381 that divides 8381 without a remainder.
1, 17, 29, 289, 493, 8381
Factors of 8387
List of positive integer factors of 8387 that divides 8387 without a remainder.
1, 8387
Least Common Multiple of 8381 and 8387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8381 and 8387, than apply into the LCM equation.
GCF(8381,8387) = 1
LCM(8381,8387) = ( 8381 × 8387) / 1
LCM(8381,8387) = 70291447 / 1
LCM(8381,8387) = 70291447
Properties of LCM 8381 and 8387
(i) The LCM of 8387 and 8381 is associative
LCM of 8381 and 8387 = LCM of 8387 and 8381
Related Least Common Multiples of 8381
Related Least Common Multiples of 8387
Frequently Asked Questions on LCM of 8381 and 8387
1. What is the LCM of 8381 and 8387?
Answer: LCM of 8381 and 8387 is 70291447.
2. What are the Factors of 8381?
Answer: Factors of 8381 are 1, 17, 29, 289, 493, 8381. There are 6 integers that are factors of 8381. The greatest factor of 8381 is 8381.
3. What are the Factors of 8387?
Answer: Factors of 8387 are 1, 8387. There are 2 integers that are factors of 8387. The greatest factor of 8387 is 8387.
4. How to Find the LCM of 8381 and 8387?
Answer:
Least Common Multiple of 8381 and 8387 = 70291447
Step 1: Find the prime factorization of 8381
8381 = 17 x 17 x 29
Step 2: Find the prime factorization of 8387
8387 = 8387
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70291447 = 17 x 17 x 29 x 8387
Step 4: Therefore, the least common multiple of 8381 and 8387 is 70291447.