Least Common Multiple of 384 and 388

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 388 the smallest integer that is 37248 that is divisible by both numbers.

Least Common Multiple (LCM) of 384 and 388 is 37248.

LCM(384,388) = 37248

LCM of 384 and 388

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

LCM of:
and

Least Common Multiple of 384 and 388

LCM of 384 and 388 is 37248

Least common multiple can be found by multiplying the highest exponent prime factors of 384 and 388. First we will calculate the prime factors of 384 and 388.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 384 and 388.

LCM(384,388) = 27×31×971
LCM(384,388) = 37248

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 388

List of positive integer factors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Least Common Multiple of 384 and 388 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 388, than apply into the LCM equation.

GCF(384,388) = 4
LCM(384,388) = ( 384 × 388) / 4
LCM(384,388) = 148992 / 4
LCM(384,388) = 37248

Properties of LCM 384 and 388

(i) The LCM of 388 and 384 is associative

LCM of 384 and 388 = LCM of 388 and 384

Related Least Common Multiples of 384

Related Least Common Multiples of 388

Frequently Asked Questions on LCM of 384 and 388

1. What is the LCM of 384 and 388?

Answer: LCM of 384 and 388 is 37248.

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 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.

4. How to Find the LCM of 384 and 388?

Answer:

Least Common Multiple of 384 and 388 = 37248

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 388

388 = 2 x 2 x 97

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 37248 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97

Step 4: Therefore, the least common multiple of 384 and 388 is 37248.