Least Common Multiple of 394 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 394 and 399 the smallest integer that is 157206 that is divisible by both numbers.

Least Common Multiple (LCM) of 394 and 399 is 157206.

LCM(394,399) = 157206

LCM of 394 and 399

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

LCM of:
and

Least Common Multiple of 394 and 399

LCM of 394 and 399 is 157206

Least common multiple can be found by multiplying the highest exponent prime factors of 394 and 399. First we will calculate the prime factors of 394 and 399.

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

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 394 and 399.

LCM(394,399) = 21×31×71×191×1971
LCM(394,399) = 157206

Factors of 394

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

1, 2, 197, 394

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 394 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 394 and 399, than apply into the LCM equation.

GCF(394,399) = 1
LCM(394,399) = ( 394 × 399) / 1
LCM(394,399) = 157206 / 1
LCM(394,399) = 157206

Properties of LCM 394 and 399

(i) The LCM of 399 and 394 is associative

LCM of 394 and 399 = LCM of 399 and 394

Related Least Common Multiples of 394

Related Least Common Multiples of 399

Frequently Asked Questions on LCM of 394 and 399

1. What is the LCM of 394 and 399?

Answer: LCM of 394 and 399 is 157206.

2. 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.

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 394 and 399?

Answer:

Least Common Multiple of 394 and 399 = 157206

Step 1: Find the prime factorization of 394

394 = 2 x 197

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 = 157206 = 2 x 3 x 7 x 19 x 197

Step 4: Therefore, the least common multiple of 394 and 399 is 157206.