Least Common Multiple of 388 and 395

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 395 the smallest integer that is 153260 that is divisible by both numbers.

Least Common Multiple (LCM) of 388 and 395 is 153260.

LCM(388,395) = 153260

LCM of 388 and 395

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

LCM of:
and

Least Common Multiple of 388 and 395

LCM of 388 and 395 is 153260

Least common multiple can be found by multiplying the highest exponent prime factors of 388 and 395. First we will calculate the prime factors of 388 and 395.

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 395


5 395
79 79
1

Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:

395 = 51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 388 and 395.

LCM(388,395) = 22×51×791×971
LCM(388,395) = 153260

Factors of 388

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

1, 2, 4, 97, 194, 388

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Least Common Multiple of 388 and 395 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 395, than apply into the LCM equation.

GCF(388,395) = 1
LCM(388,395) = ( 388 × 395) / 1
LCM(388,395) = 153260 / 1
LCM(388,395) = 153260

Properties of LCM 388 and 395

(i) The LCM of 395 and 388 is associative

LCM of 388 and 395 = LCM of 395 and 388

Related Least Common Multiples of 388

Related Least Common Multiples of 395

Frequently Asked Questions on LCM of 388 and 395

1. What is the LCM of 388 and 395?

Answer: LCM of 388 and 395 is 153260.

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 395?

Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.

4. How to Find the LCM of 388 and 395?

Answer:

Least Common Multiple of 388 and 395 = 153260

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 395

395 = 5 x 79

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

LCM = 153260 = 2 x 2 x 5 x 79 x 97

Step 4: Therefore, the least common multiple of 388 and 395 is 153260.