Least Common Multiple of 392 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 392 and 394 the smallest integer that is 77224 that is divisible by both numbers.

Least Common Multiple (LCM) of 392 and 394 is 77224.

LCM(392,394) = 77224

LCM of 392 and 394

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

LCM of:
and

Least Common Multiple of 392 and 394

LCM of 392 and 394 is 77224

Least common multiple can be found by multiplying the highest exponent prime factors of 392 and 394. First we will calculate the prime factors of 392 and 394.

Prime Factorization of 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

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 392 and 394.

LCM(392,394) = 23×72×1971
LCM(392,394) = 77224

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Factors of 394

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

1, 2, 197, 394

Least Common Multiple of 392 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 392 and 394, than apply into the LCM equation.

GCF(392,394) = 2
LCM(392,394) = ( 392 × 394) / 2
LCM(392,394) = 154448 / 2
LCM(392,394) = 77224

Properties of LCM 392 and 394

(i) The LCM of 394 and 392 is associative

LCM of 392 and 394 = LCM of 394 and 392

Related Least Common Multiples of 392

Related Least Common Multiples of 394

Frequently Asked Questions on LCM of 392 and 394

1. What is the LCM of 392 and 394?

Answer: LCM of 392 and 394 is 77224.

2. What are the Factors of 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

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 392 and 394?

Answer:

Least Common Multiple of 392 and 394 = 77224

Step 1: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

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 = 77224 = 2 x 2 x 2 x 7 x 7 x 197

Step 4: Therefore, the least common multiple of 392 and 394 is 77224.