Least Common Multiple of 394 and 395

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 395 the smallest integer that is 155630 that is divisible by both numbers.

Least Common Multiple (LCM) of 394 and 395 is 155630.

LCM(394,395) = 155630

LCM of 394 and 395

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

LCM of:
and

Least Common Multiple of 394 and 395

LCM of 394 and 395 is 155630

Least common multiple can be found by multiplying the highest exponent prime factors of 394 and 395. First we will calculate the prime factors of 394 and 395.

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 395


5 395
79 79
1

Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:

395 = 51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 394 and 395.

LCM(394,395) = 21×51×791×1971
LCM(394,395) = 155630

Factors of 394

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

1, 2, 197, 394

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Least Common Multiple of 394 and 395 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 395, than apply into the LCM equation.

GCF(394,395) = 1
LCM(394,395) = ( 394 × 395) / 1
LCM(394,395) = 155630 / 1
LCM(394,395) = 155630

Properties of LCM 394 and 395

(i) The LCM of 395 and 394 is associative

LCM of 394 and 395 = LCM of 395 and 394

Related Least Common Multiples of 394

Related Least Common Multiples of 395

Frequently Asked Questions on LCM of 394 and 395

1. What is the LCM of 394 and 395?

Answer: LCM of 394 and 395 is 155630.

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 395?

Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.

4. How to Find the LCM of 394 and 395?

Answer:

Least Common Multiple of 394 and 395 = 155630

Step 1: Find the prime factorization of 394

394 = 2 x 197

Step 2: Find the prime factorization of 395

395 = 5 x 79

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

LCM = 155630 = 2 x 5 x 79 x 197

Step 4: Therefore, the least common multiple of 394 and 395 is 155630.