Least Common Multiple of 393 and 399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 393 and 399 the smallest integer that is 52269 that is divisible by both numbers.

Least Common Multiple (LCM) of 393 and 399 is 52269.

LCM(393,399) = 52269

LCM of 393 and 399

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

LCM of:
and

Least Common Multiple of 393 and 399

LCM of 393 and 399 is 52269

Least common multiple can be found by multiplying the highest exponent prime factors of 393 and 399. First we will calculate the prime factors of 393 and 399.

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

Prime Factorization of 399


3 399
7 133
19 19
1

Prime factors of 399 are 3, 7,19. Prime factorization of 399 in exponential form is:

399 = 31×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 393 and 399.

LCM(393,399) = 31×71×191×1311
LCM(393,399) = 52269

Factors of 393

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

1, 3, 131, 393

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Least Common Multiple of 393 and 399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 393 and 399, than apply into the LCM equation.

GCF(393,399) = 3
LCM(393,399) = ( 393 × 399) / 3
LCM(393,399) = 156807 / 3
LCM(393,399) = 52269

Properties of LCM 393 and 399

(i) The LCM of 399 and 393 is associative

LCM of 393 and 399 = LCM of 399 and 393

Related Least Common Multiples of 393

Related Least Common Multiples of 399

Frequently Asked Questions on LCM of 393 and 399

1. What is the LCM of 393 and 399?

Answer: LCM of 393 and 399 is 52269.

2. 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.

3. What are the Factors of 399?

Answer: Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. There are 8 integers that are factors of 399. The greatest factor of 399 is 399.

4. How to Find the LCM of 393 and 399?

Answer:

Least Common Multiple of 393 and 399 = 52269

Step 1: Find the prime factorization of 393

393 = 3 x 131

Step 2: Find the prime factorization of 399

399 = 3 x 7 x 19

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

LCM = 52269 = 3 x 7 x 19 x 131

Step 4: Therefore, the least common multiple of 393 and 399 is 52269.