Least Common Multiple of 1389 and 1394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1389 and 1394 the smallest integer that is 1936266 that is divisible by both numbers.

Least Common Multiple (LCM) of 1389 and 1394 is 1936266.

LCM(1389,1394) = 1936266

LCM of 1389 and 1394

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

LCM of:
and

Least Common Multiple of 1389 and 1394

LCM of 1389 and 1394 is 1936266

Least common multiple can be found by multiplying the highest exponent prime factors of 1389 and 1394. First we will calculate the prime factors of 1389 and 1394.

Prime Factorization of 1389


3 1389
463 463
1

Prime factors of 1389 are 3,463. Prime factorization of 1389 in exponential form is:

1389 = 31×4631

Prime Factorization of 1394


2 1394
17 697
41 41
1

Prime factors of 1394 are 2, 17,41. Prime factorization of 1394 in exponential form is:

1394 = 21×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1389 and 1394.

LCM(1389,1394) = 21×31×171×411×4631
LCM(1389,1394) = 1936266

Factors of 1389

List of positive integer factors of 1389 that divides 1389 without a remainder.

1, 3, 463, 1389

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1, 2, 17, 34, 41, 82, 697, 1394

Least Common Multiple of 1389 and 1394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1389 and 1394, than apply into the LCM equation.

GCF(1389,1394) = 1
LCM(1389,1394) = ( 1389 × 1394) / 1
LCM(1389,1394) = 1936266 / 1
LCM(1389,1394) = 1936266

Properties of LCM 1389 and 1394

(i) The LCM of 1394 and 1389 is associative

LCM of 1389 and 1394 = LCM of 1394 and 1389

Related Least Common Multiples of 1389

Related Least Common Multiples of 1394

Frequently Asked Questions on LCM of 1389 and 1394

1. What is the LCM of 1389 and 1394?

Answer: LCM of 1389 and 1394 is 1936266.

2. What are the Factors of 1389?

Answer: Factors of 1389 are 1, 3, 463, 1389. There are 4 integers that are factors of 1389. The greatest factor of 1389 is 1389.

3. What are the Factors of 1394?

Answer: Factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394. There are 8 integers that are factors of 1394. The greatest factor of 1394 is 1394.

4. How to Find the LCM of 1389 and 1394?

Answer:

Least Common Multiple of 1389 and 1394 = 1936266

Step 1: Find the prime factorization of 1389

1389 = 3 x 463

Step 2: Find the prime factorization of 1394

1394 = 2 x 17 x 41

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

LCM = 1936266 = 2 x 3 x 17 x 41 x 463

Step 4: Therefore, the least common multiple of 1389 and 1394 is 1936266.