Least Common Multiple of 384 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 384 and 389 the smallest integer that is 149376 that is divisible by both numbers.

Least Common Multiple (LCM) of 384 and 389 is 149376.

LCM(384,389) = 149376

LCM of 384 and 389

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 384 and 389

LCM of 384 and 389 is 149376

Least common multiple can be found by multiplying the highest exponent prime factors of 384 and 389. First we will calculate the prime factors of 384 and 389.

Prime Factorization of 384


2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 384 are 2,3. Prime factorization of 384 in exponential form is:

384 = 27×31

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 384 and 389.

LCM(384,389) = 27×31×3891
LCM(384,389) = 149376

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1, 389

Least Common Multiple of 384 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 384 and 389, than apply into the LCM equation.

GCF(384,389) = 1
LCM(384,389) = ( 384 × 389) / 1
LCM(384,389) = 149376 / 1
LCM(384,389) = 149376

Properties of LCM 384 and 389

(i) The LCM of 389 and 384 is associative

LCM of 384 and 389 = LCM of 389 and 384

Related Least Common Multiples of 384

Related Least Common Multiples of 389

Frequently Asked Questions on LCM of 384 and 389

1. What is the LCM of 384 and 389?

Answer: LCM of 384 and 389 is 149376.

2. What are the Factors of 384?

Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.

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 384 and 389?

Answer:

Least Common Multiple of 384 and 389 = 149376

Step 1: Find the prime factorization of 384

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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 = 149376 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 389

Step 4: Therefore, the least common multiple of 384 and 389 is 149376.