Least Common Multiple of 387 and 395

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 395 the smallest integer that is 152865 that is divisible by both numbers.

Least Common Multiple (LCM) of 387 and 395 is 152865.

LCM(387,395) = 152865

LCM of 387 and 395

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

LCM of:
and

Least Common Multiple of 387 and 395

LCM of 387 and 395 is 152865

Least common multiple can be found by multiplying the highest exponent prime factors of 387 and 395. First we will calculate the prime factors of 387 and 395.

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 395


5 395
79 79
1

Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:

395 = 51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 387 and 395.

LCM(387,395) = 32×51×431×791
LCM(387,395) = 152865

Factors of 387

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

1, 3, 9, 43, 129, 387

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Least Common Multiple of 387 and 395 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 395, than apply into the LCM equation.

GCF(387,395) = 1
LCM(387,395) = ( 387 × 395) / 1
LCM(387,395) = 152865 / 1
LCM(387,395) = 152865

Properties of LCM 387 and 395

(i) The LCM of 395 and 387 is associative

LCM of 387 and 395 = LCM of 395 and 387

Related Least Common Multiples of 387

Related Least Common Multiples of 395

Frequently Asked Questions on LCM of 387 and 395

1. What is the LCM of 387 and 395?

Answer: LCM of 387 and 395 is 152865.

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 395?

Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.

4. How to Find the LCM of 387 and 395?

Answer:

Least Common Multiple of 387 and 395 = 152865

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

Step 2: Find the prime factorization of 395

395 = 5 x 79

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

LCM = 152865 = 3 x 3 x 5 x 43 x 79

Step 4: Therefore, the least common multiple of 387 and 395 is 152865.