Least Common Multiple of 392 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 392 and 396 the smallest integer that is 38808 that is divisible by both numbers.

Least Common Multiple (LCM) of 392 and 396 is 38808.

LCM(392,396) = 38808

LCM of 392 and 396

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

LCM of:
and

Least Common Multiple of 392 and 396

LCM of 392 and 396 is 38808

Least common multiple can be found by multiplying the highest exponent prime factors of 392 and 396. First we will calculate the prime factors of 392 and 396.

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 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 392 and 396.

LCM(392,396) = 23×32×72×111
LCM(392,396) = 38808

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 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 392 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 392 and 396, than apply into the LCM equation.

GCF(392,396) = 4
LCM(392,396) = ( 392 × 396) / 4
LCM(392,396) = 155232 / 4
LCM(392,396) = 38808

Properties of LCM 392 and 396

(i) The LCM of 396 and 392 is associative

LCM of 392 and 396 = LCM of 396 and 392

Related Least Common Multiples of 392

Related Least Common Multiples of 396

Frequently Asked Questions on LCM of 392 and 396

1. What is the LCM of 392 and 396?

Answer: LCM of 392 and 396 is 38808.

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 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 392 and 396?

Answer:

Least Common Multiple of 392 and 396 = 38808

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 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 = 38808 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 392 and 396 is 38808.