Least Common Multiple of 387 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 387 and 388 the smallest integer that is 150156 that is divisible by both numbers.

Least Common Multiple (LCM) of 387 and 388 is 150156.

LCM(387,388) = 150156

LCM of 387 and 388

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

LCM of:
and

Least Common Multiple of 387 and 388

LCM of 387 and 388 is 150156

Least common multiple can be found by multiplying the highest exponent prime factors of 387 and 388. First we will calculate the prime factors of 387 and 388.

Prime Factorization of 387


3 387
3 129
43 43
1

Prime factors of 387 are 3,43. Prime factorization of 387 in exponential form is:

387 = 32×431

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 387 and 388.

LCM(387,388) = 22×32×431×971
LCM(387,388) = 150156

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 387 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 387 and 388, than apply into the LCM equation.

GCF(387,388) = 1
LCM(387,388) = ( 387 × 388) / 1
LCM(387,388) = 150156 / 1
LCM(387,388) = 150156

Properties of LCM 387 and 388

(i) The LCM of 388 and 387 is associative

LCM of 387 and 388 = LCM of 388 and 387

Related Least Common Multiples of 387

Related Least Common Multiples of 388

Frequently Asked Questions on LCM of 387 and 388

1. What is the LCM of 387 and 388?

Answer: LCM of 387 and 388 is 150156.

2. What are the Factors of 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

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 387 and 388?

Answer:

Least Common Multiple of 387 and 388 = 150156

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

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 = 150156 = 2 x 2 x 3 x 3 x 43 x 97

Step 4: Therefore, the least common multiple of 387 and 388 is 150156.