Least Common Multiple of 388 and 396

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 396 the smallest integer that is 38412 that is divisible by both numbers.

Least Common Multiple (LCM) of 388 and 396 is 38412.

LCM(388,396) = 38412

LCM of 388 and 396

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

LCM of:
and

Least Common Multiple of 388 and 396

LCM of 388 and 396 is 38412

Least common multiple can be found by multiplying the highest exponent prime factors of 388 and 396. First we will calculate the prime factors of 388 and 396.

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 396


2 396
2 198
3 99
3 33
11 11
1

Prime factors of 396 are 2, 3,11. Prime factorization of 396 in exponential form is:

396 = 22×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 388 and 396.

LCM(388,396) = 22×32×111×971
LCM(388,396) = 38412

Factors of 388

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

1, 2, 4, 97, 194, 388

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Least Common Multiple of 388 and 396 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 396, than apply into the LCM equation.

GCF(388,396) = 4
LCM(388,396) = ( 388 × 396) / 4
LCM(388,396) = 153648 / 4
LCM(388,396) = 38412

Properties of LCM 388 and 396

(i) The LCM of 396 and 388 is associative

LCM of 388 and 396 = LCM of 396 and 388

Related Least Common Multiples of 388

Related Least Common Multiples of 396

Frequently Asked Questions on LCM of 388 and 396

1. What is the LCM of 388 and 396?

Answer: LCM of 388 and 396 is 38412.

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 396?

Answer: Factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. There are 18 integers that are factors of 396. The greatest factor of 396 is 396.

4. How to Find the LCM of 388 and 396?

Answer:

Least Common Multiple of 388 and 396 = 38412

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 396

396 = 2 x 2 x 3 x 3 x 11

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

LCM = 38412 = 2 x 2 x 3 x 3 x 11 x 97

Step 4: Therefore, the least common multiple of 388 and 396 is 38412.