Least Common Multiple of 1392 and 1399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1392 and 1399 the smallest integer that is 1947408 that is divisible by both numbers.

Least Common Multiple (LCM) of 1392 and 1399 is 1947408.

LCM(1392,1399) = 1947408

LCM of 1392 and 1399

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

LCM of:
and

Least Common Multiple of 1392 and 1399

LCM of 1392 and 1399 is 1947408

Least common multiple can be found by multiplying the highest exponent prime factors of 1392 and 1399. First we will calculate the prime factors of 1392 and 1399.

Prime Factorization of 1392


2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 1392 are 2, 3,29. Prime factorization of 1392 in exponential form is:

1392 = 24×31×291

Prime Factorization of 1399


1399 1399
1

Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:

1399 = 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 1392 and 1399.

LCM(1392,1399) = 24×31×291×13991
LCM(1392,1399) = 1947408

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392

Factors of 1399

List of positive integer factors of 1399 that divides 1399 without a remainder.

1, 1399

Least Common Multiple of 1392 and 1399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1392 and 1399, than apply into the LCM equation.

GCF(1392,1399) = 1
LCM(1392,1399) = ( 1392 × 1399) / 1
LCM(1392,1399) = 1947408 / 1
LCM(1392,1399) = 1947408

Properties of LCM 1392 and 1399

(i) The LCM of 1399 and 1392 is associative

LCM of 1392 and 1399 = LCM of 1399 and 1392

Related Least Common Multiples of 1392

Related Least Common Multiples of 1399

Frequently Asked Questions on LCM of 1392 and 1399

1. What is the LCM of 1392 and 1399?

Answer: LCM of 1392 and 1399 is 1947408.

2. What are the Factors of 1392?

Answer: Factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392. There are 20 integers that are factors of 1392. The greatest factor of 1392 is 1392.

3. What are the Factors of 1399?

Answer: Factors of 1399 are 1, 1399. There are 2 integers that are factors of 1399. The greatest factor of 1399 is 1399.

4. How to Find the LCM of 1392 and 1399?

Answer:

Least Common Multiple of 1392 and 1399 = 1947408

Step 1: Find the prime factorization of 1392

1392 = 2 x 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 1399

1399 = 1399

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

LCM = 1947408 = 2 x 2 x 2 x 2 x 3 x 29 x 1399

Step 4: Therefore, the least common multiple of 1392 and 1399 is 1947408.