Least Common Multiple of 1388 and 1395

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 1395 the smallest integer that is 1936260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1388 and 1395 is 1936260.

LCM(1388,1395) = 1936260

LCM of 1388 and 1395

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

LCM of:
and

Least Common Multiple of 1388 and 1395

LCM of 1388 and 1395 is 1936260

Least common multiple can be found by multiplying the highest exponent prime factors of 1388 and 1395. First we will calculate the prime factors of 1388 and 1395.

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 1395


3 1395
3 465
5 155
31 31
1

Prime factors of 1395 are 3, 5,31. Prime factorization of 1395 in exponential form is:

1395 = 32×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1388 and 1395.

LCM(1388,1395) = 22×32×51×311×3471
LCM(1388,1395) = 1936260

Factors of 1388

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

1, 2, 4, 347, 694, 1388

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395

Least Common Multiple of 1388 and 1395 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 1395, than apply into the LCM equation.

GCF(1388,1395) = 1
LCM(1388,1395) = ( 1388 × 1395) / 1
LCM(1388,1395) = 1936260 / 1
LCM(1388,1395) = 1936260

Properties of LCM 1388 and 1395

(i) The LCM of 1395 and 1388 is associative

LCM of 1388 and 1395 = LCM of 1395 and 1388

Related Least Common Multiples of 1388

Related Least Common Multiples of 1395

Frequently Asked Questions on LCM of 1388 and 1395

1. What is the LCM of 1388 and 1395?

Answer: LCM of 1388 and 1395 is 1936260.

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 1395?

Answer: Factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395. There are 12 integers that are factors of 1395. The greatest factor of 1395 is 1395.

4. How to Find the LCM of 1388 and 1395?

Answer:

Least Common Multiple of 1388 and 1395 = 1936260

Step 1: Find the prime factorization of 1388

1388 = 2 x 2 x 347

Step 2: Find the prime factorization of 1395

1395 = 3 x 3 x 5 x 31

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

LCM = 1936260 = 2 x 2 x 3 x 3 x 5 x 31 x 347

Step 4: Therefore, the least common multiple of 1388 and 1395 is 1936260.