Least Common Multiple of 394 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 394 and 396 the smallest integer that is 78012 that is divisible by both numbers.

Least Common Multiple (LCM) of 394 and 396 is 78012.

LCM(394,396) = 78012

LCM of 394 and 396

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

LCM of:
and

Least Common Multiple of 394 and 396

LCM of 394 and 396 is 78012

Least common multiple can be found by multiplying the highest exponent prime factors of 394 and 396. First we will calculate the prime factors of 394 and 396.

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 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 394 and 396.

LCM(394,396) = 22×32×111×1971
LCM(394,396) = 78012

Factors of 394

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

1, 2, 197, 394

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 394 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 394 and 396, than apply into the LCM equation.

GCF(394,396) = 2
LCM(394,396) = ( 394 × 396) / 2
LCM(394,396) = 156024 / 2
LCM(394,396) = 78012

Properties of LCM 394 and 396

(i) The LCM of 396 and 394 is associative

LCM of 394 and 396 = LCM of 396 and 394

Related Least Common Multiples of 394

Related Least Common Multiples of 396

Frequently Asked Questions on LCM of 394 and 396

1. What is the LCM of 394 and 396?

Answer: LCM of 394 and 396 is 78012.

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 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 394 and 396?

Answer:

Least Common Multiple of 394 and 396 = 78012

Step 1: Find the prime factorization of 394

394 = 2 x 197

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 = 78012 = 2 x 2 x 3 x 3 x 11 x 197

Step 4: Therefore, the least common multiple of 394 and 396 is 78012.