Least Common Multiple of 383 and 389
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 383 and 389 the smallest integer that is 148987 that is divisible by both numbers.
Least Common Multiple (LCM) of 383 and 389 is 148987.
LCM(383,389) = 148987
LCM of 383 and 389
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 383 and 389 by Prime method
- Least Common Multiple of 383 and 389 with GCF Formula
LCM of 383 and 389 is 148987
Least common multiple can be found by multiplying the highest exponent prime factors of 383 and 389. First we will calculate the prime factors of 383 and 389.
Prime Factorization of 383
| 383 | 383 |
| 1 |
Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:
383 = 3831
Prime Factorization of 389
| 389 | 389 |
| 1 |
Prime factors of 389 are 389. Prime factorization of 389 in exponential form is:
389 = 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 383 and 389.
LCM(383,389) = 3831×3891
LCM(383,389) = 148987
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1, 383
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1, 389
Least Common Multiple of 383 and 389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 383 and 389, than apply into the LCM equation.
GCF(383,389) = 1
LCM(383,389) = ( 383 × 389) / 1
LCM(383,389) = 148987 / 1
LCM(383,389) = 148987
Properties of LCM 383 and 389
(i) The LCM of 389 and 383 is associative
LCM of 383 and 389 = LCM of 389 and 383
Related Least Common Multiples of 383
Related Least Common Multiples of 389
Frequently Asked Questions on LCM of 383 and 389
1. What is the LCM of 383 and 389?
Answer: LCM of 383 and 389 is 148987.
2. What are the Factors of 383?
Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.
3. What are the Factors of 389?
Answer: Factors of 389 are 1, 389. There are 2 integers that are factors of 389. The greatest factor of 389 is 389.
4. How to Find the LCM of 383 and 389?
Answer:
Least Common Multiple of 383 and 389 = 148987
Step 1: Find the prime factorization of 383
383 = 383
Step 2: Find the prime factorization of 389
389 = 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 148987 = 383 x 389
Step 4: Therefore, the least common multiple of 383 and 389 is 148987.