Least Common Multiple of 388 and 390

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 390 the smallest integer that is 75660 that is divisible by both numbers.

Least Common Multiple (LCM) of 388 and 390 is 75660.

LCM(388,390) = 75660

LCM of 388 and 390

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

LCM of:
and

Least Common Multiple of 388 and 390

LCM of 388 and 390 is 75660

Least common multiple can be found by multiplying the highest exponent prime factors of 388 and 390. First we will calculate the prime factors of 388 and 390.

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 390


2 390
3 195
5 65
13 13
1

Prime factors of 390 are 2, 3, 5,13. Prime factorization of 390 in exponential form is:

390 = 21×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 388 and 390.

LCM(388,390) = 22×31×51×131×971
LCM(388,390) = 75660

Factors of 388

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

1, 2, 4, 97, 194, 388

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Least Common Multiple of 388 and 390 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 390, than apply into the LCM equation.

GCF(388,390) = 2
LCM(388,390) = ( 388 × 390) / 2
LCM(388,390) = 151320 / 2
LCM(388,390) = 75660

Properties of LCM 388 and 390

(i) The LCM of 390 and 388 is associative

LCM of 388 and 390 = LCM of 390 and 388

Related Least Common Multiples of 388

Related Least Common Multiples of 390

Frequently Asked Questions on LCM of 388 and 390

1. What is the LCM of 388 and 390?

Answer: LCM of 388 and 390 is 75660.

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 390?

Answer: Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. There are 16 integers that are factors of 390. The greatest factor of 390 is 390.

4. How to Find the LCM of 388 and 390?

Answer:

Least Common Multiple of 388 and 390 = 75660

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

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

LCM = 75660 = 2 x 2 x 3 x 5 x 13 x 97

Step 4: Therefore, the least common multiple of 388 and 390 is 75660.