Least Common Multiple of 393 and 394

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 394 the smallest integer that is 154842 that is divisible by both numbers.

Least Common Multiple (LCM) of 393 and 394 is 154842.

LCM(393,394) = 154842

LCM of 393 and 394

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

LCM of:
and

Least Common Multiple of 393 and 394

LCM of 393 and 394 is 154842

Least common multiple can be found by multiplying the highest exponent prime factors of 393 and 394. First we will calculate the prime factors of 393 and 394.

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 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 393 and 394.

LCM(393,394) = 21×31×1311×1971
LCM(393,394) = 154842

Factors of 393

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

1, 3, 131, 393

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Least Common Multiple of 393 and 394 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 394, than apply into the LCM equation.

GCF(393,394) = 1
LCM(393,394) = ( 393 × 394) / 1
LCM(393,394) = 154842 / 1
LCM(393,394) = 154842

Properties of LCM 393 and 394

(i) The LCM of 394 and 393 is associative

LCM of 393 and 394 = LCM of 394 and 393

Related Least Common Multiples of 393

Related Least Common Multiples of 394

Frequently Asked Questions on LCM of 393 and 394

1. What is the LCM of 393 and 394?

Answer: LCM of 393 and 394 is 154842.

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 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

4. How to Find the LCM of 393 and 394?

Answer:

Least Common Multiple of 393 and 394 = 154842

Step 1: Find the prime factorization of 393

393 = 3 x 131

Step 2: Find the prime factorization of 394

394 = 2 x 197

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

LCM = 154842 = 2 x 3 x 131 x 197

Step 4: Therefore, the least common multiple of 393 and 394 is 154842.