Least Common Multiple of 1388 and 1392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1388 and 1392 the smallest integer that is 483024 that is divisible by both numbers.

Least Common Multiple (LCM) of 1388 and 1392 is 483024.

LCM(1388,1392) = 483024

LCM of 1388 and 1392

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

LCM of:
and

Least Common Multiple of 1388 and 1392

LCM of 1388 and 1392 is 483024

Least common multiple can be found by multiplying the highest exponent prime factors of 1388 and 1392. First we will calculate the prime factors of 1388 and 1392.

Prime Factorization of 1388


2 1388
2 694
347 347
1

Prime factors of 1388 are 2,347. Prime factorization of 1388 in exponential form is:

1388 = 22×3471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1388 and 1392.

LCM(1388,1392) = 24×31×291×3471
LCM(1388,1392) = 483024

Factors of 1388

List of positive integer factors of 1388 that divides 1388 without a remainder.

1, 2, 4, 347, 694, 1388

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

Least Common Multiple of 1388 and 1392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1388 and 1392, than apply into the LCM equation.

GCF(1388,1392) = 4
LCM(1388,1392) = ( 1388 × 1392) / 4
LCM(1388,1392) = 1932096 / 4
LCM(1388,1392) = 483024

Properties of LCM 1388 and 1392

(i) The LCM of 1392 and 1388 is associative

LCM of 1388 and 1392 = LCM of 1392 and 1388

Related Least Common Multiples of 1388

Related Least Common Multiples of 1392

Frequently Asked Questions on LCM of 1388 and 1392

1. What is the LCM of 1388 and 1392?

Answer: LCM of 1388 and 1392 is 483024.

2. What are the Factors of 1388?

Answer: Factors of 1388 are 1, 2, 4, 347, 694, 1388. There are 6 integers that are factors of 1388. The greatest factor of 1388 is 1388.

3. 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.

4. How to Find the LCM of 1388 and 1392?

Answer:

Least Common Multiple of 1388 and 1392 = 483024

Step 1: Find the prime factorization of 1388

1388 = 2 x 2 x 347

Step 2: Find the prime factorization of 1392

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

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

LCM = 483024 = 2 x 2 x 2 x 2 x 3 x 29 x 347

Step 4: Therefore, the least common multiple of 1388 and 1392 is 483024.