Least Common Multiple of 392 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 392 and 399 the smallest integer that is 22344 that is divisible by both numbers.

Least Common Multiple (LCM) of 392 and 399 is 22344.

LCM(392,399) = 22344

LCM of 392 and 399

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

LCM of:
and

Least Common Multiple of 392 and 399

LCM of 392 and 399 is 22344

Least common multiple can be found by multiplying the highest exponent prime factors of 392 and 399. First we will calculate the prime factors of 392 and 399.

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 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 392 and 399.

LCM(392,399) = 23×31×72×191
LCM(392,399) = 22344

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 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 392 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 392 and 399, than apply into the LCM equation.

GCF(392,399) = 7
LCM(392,399) = ( 392 × 399) / 7
LCM(392,399) = 156408 / 7
LCM(392,399) = 22344

Properties of LCM 392 and 399

(i) The LCM of 399 and 392 is associative

LCM of 392 and 399 = LCM of 399 and 392

Related Least Common Multiples of 392

Related Least Common Multiples of 399

Frequently Asked Questions on LCM of 392 and 399

1. What is the LCM of 392 and 399?

Answer: LCM of 392 and 399 is 22344.

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 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 392 and 399?

Answer:

Least Common Multiple of 392 and 399 = 22344

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 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 = 22344 = 2 x 2 x 2 x 3 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 392 and 399 is 22344.