Least Common Multiple of 388 and 392

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 392 the smallest integer that is 38024 that is divisible by both numbers.

Least Common Multiple (LCM) of 388 and 392 is 38024.

LCM(388,392) = 38024

LCM of 388 and 392

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

LCM of:
and

Least Common Multiple of 388 and 392

LCM of 388 and 392 is 38024

Least common multiple can be found by multiplying the highest exponent prime factors of 388 and 392. First we will calculate the prime factors of 388 and 392.

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 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

Now multiplying the highest exponent prime factors to calculate the LCM of 388 and 392.

LCM(388,392) = 23×72×971
LCM(388,392) = 38024

Factors of 388

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

1, 2, 4, 97, 194, 388

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Least Common Multiple of 388 and 392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 388 and 392, than apply into the LCM equation.

GCF(388,392) = 4
LCM(388,392) = ( 388 × 392) / 4
LCM(388,392) = 152096 / 4
LCM(388,392) = 38024

Properties of LCM 388 and 392

(i) The LCM of 392 and 388 is associative

LCM of 388 and 392 = LCM of 392 and 388

Related Least Common Multiples of 388

Related Least Common Multiples of 392

Frequently Asked Questions on LCM of 388 and 392

1. What is the LCM of 388 and 392?

Answer: LCM of 388 and 392 is 38024.

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 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

4. How to Find the LCM of 388 and 392?

Answer:

Least Common Multiple of 388 and 392 = 38024

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

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

LCM = 38024 = 2 x 2 x 2 x 7 x 7 x 97

Step 4: Therefore, the least common multiple of 388 and 392 is 38024.