Least Common Multiple of 2381 and 2387
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2381 and 2387 the smallest integer that is 5683447 that is divisible by both numbers.
Least Common Multiple (LCM) of 2381 and 2387 is 5683447.
LCM(2381,2387) = 5683447
LCM of 2381 and 2387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2381 and 2387 by Prime method
- Least Common Multiple of 2381 and 2387 with GCF Formula
LCM of 2381 and 2387 is 5683447
Least common multiple can be found by multiplying the highest exponent prime factors of 2381 and 2387. First we will calculate the prime factors of 2381 and 2387.
Prime Factorization of 2381
| 2381 | 2381 |
| 1 |
Prime factors of 2381 are 2381. Prime factorization of 2381 in exponential form is:
2381 = 23811
Prime Factorization of 2387
| 7 | 2387 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 2387 are 7, 11,31. Prime factorization of 2387 in exponential form is:
2387 = 71×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2381 and 2387.
LCM(2381,2387) = 71×111×311×23811
LCM(2381,2387) = 5683447
Factors of 2381
List of positive integer factors of 2381 that divides 2381 without a remainder.
1, 2381
Factors of 2387
List of positive integer factors of 2387 that divides 2387 without a remainder.
1, 7, 11, 31, 77, 217, 341, 2387
Least Common Multiple of 2381 and 2387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2381 and 2387, than apply into the LCM equation.
GCF(2381,2387) = 1
LCM(2381,2387) = ( 2381 × 2387) / 1
LCM(2381,2387) = 5683447 / 1
LCM(2381,2387) = 5683447
Properties of LCM 2381 and 2387
(i) The LCM of 2387 and 2381 is associative
LCM of 2381 and 2387 = LCM of 2387 and 2381
Related Least Common Multiples of 2381
Related Least Common Multiples of 2387
Frequently Asked Questions on LCM of 2381 and 2387
1. What is the LCM of 2381 and 2387?
Answer: LCM of 2381 and 2387 is 5683447.
2. What are the Factors of 2381?
Answer: Factors of 2381 are 1, 2381. There are 2 integers that are factors of 2381. The greatest factor of 2381 is 2381.
3. What are the Factors of 2387?
Answer: Factors of 2387 are 1, 7, 11, 31, 77, 217, 341, 2387. There are 8 integers that are factors of 2387. The greatest factor of 2387 is 2387.
4. How to Find the LCM of 2381 and 2387?
Answer:
Least Common Multiple of 2381 and 2387 = 5683447
Step 1: Find the prime factorization of 2381
2381 = 2381
Step 2: Find the prime factorization of 2387
2387 = 7 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5683447 = 7 x 11 x 31 x 2381
Step 4: Therefore, the least common multiple of 2381 and 2387 is 5683447.