Least Common Multiple of 1389 and 1391

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 1391 the smallest integer that is 1932099 that is divisible by both numbers.

Least Common Multiple (LCM) of 1389 and 1391 is 1932099.

LCM(1389,1391) = 1932099

LCM of 1389 and 1391

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

LCM of:
and

Least Common Multiple of 1389 and 1391

LCM of 1389 and 1391 is 1932099

Least common multiple can be found by multiplying the highest exponent prime factors of 1389 and 1391. First we will calculate the prime factors of 1389 and 1391.

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 1391


13 1391
107 107
1

Prime factors of 1391 are 13,107. Prime factorization of 1391 in exponential form is:

1391 = 131×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1389 and 1391.

LCM(1389,1391) = 31×131×1071×4631
LCM(1389,1391) = 1932099

Factors of 1389

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

1, 3, 463, 1389

Factors of 1391

List of positive integer factors of 1391 that divides 1391 without a remainder.

1, 13, 107, 1391

Least Common Multiple of 1389 and 1391 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 1391, than apply into the LCM equation.

GCF(1389,1391) = 1
LCM(1389,1391) = ( 1389 × 1391) / 1
LCM(1389,1391) = 1932099 / 1
LCM(1389,1391) = 1932099

Properties of LCM 1389 and 1391

(i) The LCM of 1391 and 1389 is associative

LCM of 1389 and 1391 = LCM of 1391 and 1389

Related Least Common Multiples of 1389

Related Least Common Multiples of 1391

Frequently Asked Questions on LCM of 1389 and 1391

1. What is the LCM of 1389 and 1391?

Answer: LCM of 1389 and 1391 is 1932099.

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 1391?

Answer: Factors of 1391 are 1, 13, 107, 1391. There are 4 integers that are factors of 1391. The greatest factor of 1391 is 1391.

4. How to Find the LCM of 1389 and 1391?

Answer:

Least Common Multiple of 1389 and 1391 = 1932099

Step 1: Find the prime factorization of 1389

1389 = 3 x 463

Step 2: Find the prime factorization of 1391

1391 = 13 x 107

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

LCM = 1932099 = 3 x 13 x 107 x 463

Step 4: Therefore, the least common multiple of 1389 and 1391 is 1932099.