Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 388 and 389 the smallest integer that is 150932 that is divisible by both numbers.
Least Common Multiple (LCM) of 388 and 389 is 150932.
LCM(388,389) = 150932
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 388 and 389. First we will calculate the prime factors of 388 and 389.
Prime Factorization of 388
2 | 388 |
2 | 194 |
97 | 97 |
1 |
Prime factors of 388 are 2,97. Prime factorization of 388 in exponential form is:
388 = 22×971
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 388 and 389.
LCM(388,389) = 22×971×3891
LCM(388,389) = 150932
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
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 388 and 389, than apply into the LCM equation.
GCF(388,389) = 1
LCM(388,389) = ( 388 × 389) / 1
LCM(388,389) = 150932 / 1
LCM(388,389) = 150932
(i) The LCM of 389 and 388 is associative
LCM of 388 and 389 = LCM of 389 and 388
1. What is the LCM of 388 and 389?
Answer: LCM of 388 and 389 is 150932.
2. What are the Factors of 388?
Answer: Factors of 388 are 1, 2, 4, 97, 194, 388. There are 6 integers that are factors of 388. The greatest factor of 388 is 388.
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 388 and 389?
Answer:
Least Common Multiple of 388 and 389 = 150932
Step 1: Find the prime factorization of 388
388 = 2 x 2 x 97
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 = 150932 = 2 x 2 x 97 x 389
Step 4: Therefore, the least common multiple of 388 and 389 is 150932.