Least Common Multiple of 388 and 391

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 391 the smallest integer that is 151708 that is divisible by both numbers.

Least Common Multiple (LCM) of 388 and 391 is 151708.

LCM(388,391) = 151708

LCM of 388 and 391

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

LCM of:
and

Least Common Multiple of 388 and 391

LCM of 388 and 391 is 151708

Least common multiple can be found by multiplying the highest exponent prime factors of 388 and 391. First we will calculate the prime factors of 388 and 391.

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 391


17 391
23 23
1

Prime factors of 391 are 17,23. Prime factorization of 391 in exponential form is:

391 = 171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 388 and 391.

LCM(388,391) = 22×171×231×971
LCM(388,391) = 151708

Factors of 388

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

1, 2, 4, 97, 194, 388

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Least Common Multiple of 388 and 391 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 391, than apply into the LCM equation.

GCF(388,391) = 1
LCM(388,391) = ( 388 × 391) / 1
LCM(388,391) = 151708 / 1
LCM(388,391) = 151708

Properties of LCM 388 and 391

(i) The LCM of 391 and 388 is associative

LCM of 388 and 391 = LCM of 391 and 388

Related Least Common Multiples of 388

Related Least Common Multiples of 391

Frequently Asked Questions on LCM of 388 and 391

1. What is the LCM of 388 and 391?

Answer: LCM of 388 and 391 is 151708.

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 391?

Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.

4. How to Find the LCM of 388 and 391?

Answer:

Least Common Multiple of 388 and 391 = 151708

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 391

391 = 17 x 23

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

LCM = 151708 = 2 x 2 x 17 x 23 x 97

Step 4: Therefore, the least common multiple of 388 and 391 is 151708.