Least Common Multiple of 393 and 396

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 396 the smallest integer that is 51876 that is divisible by both numbers.

Least Common Multiple (LCM) of 393 and 396 is 51876.

LCM(393,396) = 51876

LCM of 393 and 396

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

LCM of:
and

Least Common Multiple of 393 and 396

LCM of 393 and 396 is 51876

Least common multiple can be found by multiplying the highest exponent prime factors of 393 and 396. First we will calculate the prime factors of 393 and 396.

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 396


2 396
2 198
3 99
3 33
11 11
1

Prime factors of 396 are 2, 3,11. Prime factorization of 396 in exponential form is:

396 = 22×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 393 and 396.

LCM(393,396) = 22×32×111×1311
LCM(393,396) = 51876

Factors of 393

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

1, 3, 131, 393

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Least Common Multiple of 393 and 396 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 396, than apply into the LCM equation.

GCF(393,396) = 3
LCM(393,396) = ( 393 × 396) / 3
LCM(393,396) = 155628 / 3
LCM(393,396) = 51876

Properties of LCM 393 and 396

(i) The LCM of 396 and 393 is associative

LCM of 393 and 396 = LCM of 396 and 393

Related Least Common Multiples of 393

Related Least Common Multiples of 396

Frequently Asked Questions on LCM of 393 and 396

1. What is the LCM of 393 and 396?

Answer: LCM of 393 and 396 is 51876.

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 396?

Answer: Factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. There are 18 integers that are factors of 396. The greatest factor of 396 is 396.

4. How to Find the LCM of 393 and 396?

Answer:

Least Common Multiple of 393 and 396 = 51876

Step 1: Find the prime factorization of 393

393 = 3 x 131

Step 2: Find the prime factorization of 396

396 = 2 x 2 x 3 x 3 x 11

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

LCM = 51876 = 2 x 2 x 3 x 3 x 11 x 131

Step 4: Therefore, the least common multiple of 393 and 396 is 51876.