Least Common Multiple of 393 and 397

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 397 the smallest integer that is 156021 that is divisible by both numbers.

Least Common Multiple (LCM) of 393 and 397 is 156021.

LCM(393,397) = 156021

LCM of 393 and 397

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

LCM of:
and

Least Common Multiple of 393 and 397

LCM of 393 and 397 is 156021

Least common multiple can be found by multiplying the highest exponent prime factors of 393 and 397. First we will calculate the prime factors of 393 and 397.

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 397


397 397
1

Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:

397 = 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 393 and 397.

LCM(393,397) = 31×1311×3971
LCM(393,397) = 156021

Factors of 393

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

1, 3, 131, 393

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1, 397

Least Common Multiple of 393 and 397 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 397, than apply into the LCM equation.

GCF(393,397) = 1
LCM(393,397) = ( 393 × 397) / 1
LCM(393,397) = 156021 / 1
LCM(393,397) = 156021

Properties of LCM 393 and 397

(i) The LCM of 397 and 393 is associative

LCM of 393 and 397 = LCM of 397 and 393

Related Least Common Multiples of 393

Related Least Common Multiples of 397

Frequently Asked Questions on LCM of 393 and 397

1. What is the LCM of 393 and 397?

Answer: LCM of 393 and 397 is 156021.

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 397?

Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.

4. How to Find the LCM of 393 and 397?

Answer:

Least Common Multiple of 393 and 397 = 156021

Step 1: Find the prime factorization of 393

393 = 3 x 131

Step 2: Find the prime factorization of 397

397 = 397

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

LCM = 156021 = 3 x 131 x 397

Step 4: Therefore, the least common multiple of 393 and 397 is 156021.