Least Common Multiple of 387 and 390

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 390 the smallest integer that is 50310 that is divisible by both numbers.

Least Common Multiple (LCM) of 387 and 390 is 50310.

LCM(387,390) = 50310

LCM of 387 and 390

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

LCM of:
and

Least Common Multiple of 387 and 390

LCM of 387 and 390 is 50310

Least common multiple can be found by multiplying the highest exponent prime factors of 387 and 390. First we will calculate the prime factors of 387 and 390.

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 390


2 390
3 195
5 65
13 13
1

Prime factors of 390 are 2, 3, 5,13. Prime factorization of 390 in exponential form is:

390 = 21×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 387 and 390.

LCM(387,390) = 21×32×51×131×431
LCM(387,390) = 50310

Factors of 387

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

1, 3, 9, 43, 129, 387

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Least Common Multiple of 387 and 390 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 390, than apply into the LCM equation.

GCF(387,390) = 3
LCM(387,390) = ( 387 × 390) / 3
LCM(387,390) = 150930 / 3
LCM(387,390) = 50310

Properties of LCM 387 and 390

(i) The LCM of 390 and 387 is associative

LCM of 387 and 390 = LCM of 390 and 387

Related Least Common Multiples of 387

Related Least Common Multiples of 390

Frequently Asked Questions on LCM of 387 and 390

1. What is the LCM of 387 and 390?

Answer: LCM of 387 and 390 is 50310.

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 390?

Answer: Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. There are 16 integers that are factors of 390. The greatest factor of 390 is 390.

4. How to Find the LCM of 387 and 390?

Answer:

Least Common Multiple of 387 and 390 = 50310

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

Step 2: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

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

LCM = 50310 = 2 x 3 x 3 x 5 x 13 x 43

Step 4: Therefore, the least common multiple of 387 and 390 is 50310.