Least Common Multiple of 381 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 381 and 388 the smallest integer that is 147828 that is divisible by both numbers.

Least Common Multiple (LCM) of 381 and 388 is 147828.

LCM(381,388) = 147828

LCM of 381 and 388

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

LCM of:
and

Least Common Multiple of 381 and 388

LCM of 381 and 388 is 147828

Least common multiple can be found by multiplying the highest exponent prime factors of 381 and 388. First we will calculate the prime factors of 381 and 388.

Prime Factorization of 381


3 381
127 127
1

Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:

381 = 31×1271

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 381 and 388.

LCM(381,388) = 22×31×971×1271
LCM(381,388) = 147828

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1, 3, 127, 381

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 381 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 381 and 388, than apply into the LCM equation.

GCF(381,388) = 1
LCM(381,388) = ( 381 × 388) / 1
LCM(381,388) = 147828 / 1
LCM(381,388) = 147828

Properties of LCM 381 and 388

(i) The LCM of 388 and 381 is associative

LCM of 381 and 388 = LCM of 388 and 381

Related Least Common Multiples of 381

Related Least Common Multiples of 388

Frequently Asked Questions on LCM of 381 and 388

1. What is the LCM of 381 and 388?

Answer: LCM of 381 and 388 is 147828.

2. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

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 381 and 388?

Answer:

Least Common Multiple of 381 and 388 = 147828

Step 1: Find the prime factorization of 381

381 = 3 x 127

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 = 147828 = 2 x 2 x 3 x 97 x 127

Step 4: Therefore, the least common multiple of 381 and 388 is 147828.