Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 382 and 389 the smallest integer that is 148598 that is divisible by both numbers.
Least Common Multiple (LCM) of 382 and 389 is 148598.
LCM(382,389) = 148598
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 382 and 389. First we will calculate the prime factors of 382 and 389.
Prime Factorization of 382
2 | 382 |
191 | 191 |
1 |
Prime factors of 382 are 2,191. Prime factorization of 382 in exponential form is:
382 = 21×1911
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 382 and 389.
LCM(382,389) = 21×1911×3891
LCM(382,389) = 148598
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1, 389
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 382 and 389, than apply into the LCM equation.
GCF(382,389) = 1
LCM(382,389) = ( 382 × 389) / 1
LCM(382,389) = 148598 / 1
LCM(382,389) = 148598
(i) The LCM of 389 and 382 is associative
LCM of 382 and 389 = LCM of 389 and 382
1. What is the LCM of 382 and 389?
Answer: LCM of 382 and 389 is 148598.
2. What are the Factors of 382?
Answer: Factors of 382 are 1, 2, 191, 382. There are 4 integers that are factors of 382. The greatest factor of 382 is 382.
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 382 and 389?
Answer:
Least Common Multiple of 382 and 389 = 148598
Step 1: Find the prime factorization of 382
382 = 2 x 191
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 = 148598 = 2 x 191 x 389
Step 4: Therefore, the least common multiple of 382 and 389 is 148598.