Least Common Multiple of 388 and 394

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 394 the smallest integer that is 76436 that is divisible by both numbers.

Least Common Multiple (LCM) of 388 and 394 is 76436.

LCM(388,394) = 76436

LCM of 388 and 394

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

LCM of:
and

Least Common Multiple of 388 and 394

LCM of 388 and 394 is 76436

Least common multiple can be found by multiplying the highest exponent prime factors of 388 and 394. First we will calculate the prime factors of 388 and 394.

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 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 388 and 394.

LCM(388,394) = 22×971×1971
LCM(388,394) = 76436

Factors of 388

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

1, 2, 4, 97, 194, 388

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Least Common Multiple of 388 and 394 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 394, than apply into the LCM equation.

GCF(388,394) = 2
LCM(388,394) = ( 388 × 394) / 2
LCM(388,394) = 152872 / 2
LCM(388,394) = 76436

Properties of LCM 388 and 394

(i) The LCM of 394 and 388 is associative

LCM of 388 and 394 = LCM of 394 and 388

Related Least Common Multiples of 388

Related Least Common Multiples of 394

Frequently Asked Questions on LCM of 388 and 394

1. What is the LCM of 388 and 394?

Answer: LCM of 388 and 394 is 76436.

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 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

4. How to Find the LCM of 388 and 394?

Answer:

Least Common Multiple of 388 and 394 = 76436

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 394

394 = 2 x 197

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

LCM = 76436 = 2 x 2 x 97 x 197

Step 4: Therefore, the least common multiple of 388 and 394 is 76436.