Least Common Multiple of 382 and 388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 382 and 388 the smallest integer that is 74108 that is divisible by both numbers.

Least Common Multiple (LCM) of 382 and 388 is 74108.

LCM(382,388) = 74108

LCM of 382 and 388

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

LCM of:
and

Least Common Multiple of 382 and 388

LCM of 382 and 388 is 74108

Least common multiple can be found by multiplying the highest exponent prime factors of 382 and 388. First we will calculate the prime factors of 382 and 388.

Prime Factorization of 382


2 382
191 191
1

Prime factors of 382 are 2,191. Prime factorization of 382 in exponential form is:

382 = 21×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 382 and 388.

LCM(382,388) = 22×971×1911
LCM(382,388) = 74108

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Factors of 388

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

1, 2, 4, 97, 194, 388

Least Common Multiple of 382 and 388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 382 and 388, than apply into the LCM equation.

GCF(382,388) = 2
LCM(382,388) = ( 382 × 388) / 2
LCM(382,388) = 148216 / 2
LCM(382,388) = 74108

Properties of LCM 382 and 388

(i) The LCM of 388 and 382 is associative

LCM of 382 and 388 = LCM of 388 and 382

Related Least Common Multiples of 382

Related Least Common Multiples of 388

Frequently Asked Questions on LCM of 382 and 388

1. What is the LCM of 382 and 388?

Answer: LCM of 382 and 388 is 74108.

2. What are the Factors of 382?

Answer: Factors of 382 are 1, 2, 191, 382. There are 4 integers that are factors of 382. The greatest factor of 382 is 382.

3. 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.

4. How to Find the LCM of 382 and 388?

Answer:

Least Common Multiple of 382 and 388 = 74108

Step 1: Find the prime factorization of 382

382 = 2 x 191

Step 2: Find the prime factorization of 388

388 = 2 x 2 x 97

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

LCM = 74108 = 2 x 2 x 97 x 191

Step 4: Therefore, the least common multiple of 382 and 388 is 74108.