Least Common Multiple of 390 and 393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 390 and 393 the smallest integer that is 51090 that is divisible by both numbers.

Least Common Multiple (LCM) of 390 and 393 is 51090.

LCM(390,393) = 51090

LCM of 390 and 393

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

LCM of:
and

Least Common Multiple of 390 and 393

LCM of 390 and 393 is 51090

Least common multiple can be found by multiplying the highest exponent prime factors of 390 and 393. First we will calculate the prime factors of 390 and 393.

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

Prime Factorization of 393


3 393
131 131
1

Prime factors of 393 are 3,131. Prime factorization of 393 in exponential form is:

393 = 31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 390 and 393.

LCM(390,393) = 21×31×51×131×1311
LCM(390,393) = 51090

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

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Least Common Multiple of 390 and 393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 390 and 393, than apply into the LCM equation.

GCF(390,393) = 3
LCM(390,393) = ( 390 × 393) / 3
LCM(390,393) = 153270 / 3
LCM(390,393) = 51090

Properties of LCM 390 and 393

(i) The LCM of 393 and 390 is associative

LCM of 390 and 393 = LCM of 393 and 390

Related Least Common Multiples of 390

Related Least Common Multiples of 393

Frequently Asked Questions on LCM of 390 and 393

1. What is the LCM of 390 and 393?

Answer: LCM of 390 and 393 is 51090.

2. 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.

3. What are the Factors of 393?

Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.

4. How to Find the LCM of 390 and 393?

Answer:

Least Common Multiple of 390 and 393 = 51090

Step 1: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 393

393 = 3 x 131

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

LCM = 51090 = 2 x 3 x 5 x 13 x 131

Step 4: Therefore, the least common multiple of 390 and 393 is 51090.