Least Common Multiple of 23381 and 23387
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 23381 and 23387 the smallest integer that is 546811447 that is divisible by both numbers.
Least Common Multiple (LCM) of 23381 and 23387 is 546811447.
LCM(23381,23387) = 546811447
LCM of 23381 and 23387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 23381 and 23387 by Prime method
- Least Common Multiple of 23381 and 23387 with GCF Formula
LCM of 23381 and 23387 is 546811447
Least common multiple can be found by multiplying the highest exponent prime factors of 23381 and 23387. First we will calculate the prime factors of 23381 and 23387.
Prime Factorization of 23381
| 103 | 23381 |
| 227 | 227 |
| 1 |
Prime factors of 23381 are 103,227. Prime factorization of 23381 in exponential form is:
23381 = 1031×2271
Prime Factorization of 23387
| 7 | 23387 |
| 13 | 3341 |
| 257 | 257 |
| 1 |
Prime factors of 23387 are 7, 13,257. Prime factorization of 23387 in exponential form is:
23387 = 71×131×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 23381 and 23387.
LCM(23381,23387) = 71×131×1031×2271×2571
LCM(23381,23387) = 546811447
Factors of 23381
List of positive integer factors of 23381 that divides 23381 without a remainder.
1, 103, 227, 23381
Factors of 23387
List of positive integer factors of 23387 that divides 23387 without a remainder.
1, 7, 13, 91, 257, 1799, 3341, 23387
Least Common Multiple of 23381 and 23387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23381 and 23387, than apply into the LCM equation.
GCF(23381,23387) = 1
LCM(23381,23387) = ( 23381 × 23387) / 1
LCM(23381,23387) = 546811447 / 1
LCM(23381,23387) = 546811447
Properties of LCM 23381 and 23387
(i) The LCM of 23387 and 23381 is associative
LCM of 23381 and 23387 = LCM of 23387 and 23381
Related Least Common Multiples of 23381
Related Least Common Multiples of 23387
Frequently Asked Questions on LCM of 23381 and 23387
1. What is the LCM of 23381 and 23387?
Answer: LCM of 23381 and 23387 is 546811447.
2. What are the Factors of 23381?
Answer: Factors of 23381 are 1, 103, 227, 23381. There are 4 integers that are factors of 23381. The greatest factor of 23381 is 23381.
3. What are the Factors of 23387?
Answer: Factors of 23387 are 1, 7, 13, 91, 257, 1799, 3341, 23387. There are 8 integers that are factors of 23387. The greatest factor of 23387 is 23387.
4. How to Find the LCM of 23381 and 23387?
Answer:
Least Common Multiple of 23381 and 23387 = 546811447
Step 1: Find the prime factorization of 23381
23381 = 103 x 227
Step 2: Find the prime factorization of 23387
23387 = 7 x 13 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 546811447 = 7 x 13 x 103 x 227 x 257
Step 4: Therefore, the least common multiple of 23381 and 23387 is 546811447.