Least Common Multiple of 1386 and 1389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1386 and 1389 the smallest integer that is 641718 that is divisible by both numbers.

Least Common Multiple (LCM) of 1386 and 1389 is 641718.

LCM(1386,1389) = 641718

LCM of 1386 and 1389

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

LCM of:
and

Least Common Multiple of 1386 and 1389

LCM of 1386 and 1389 is 641718

Least common multiple can be found by multiplying the highest exponent prime factors of 1386 and 1389. First we will calculate the prime factors of 1386 and 1389.

Prime Factorization of 1386


2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 1386 are 2, 3, 7,11. Prime factorization of 1386 in exponential form is:

1386 = 21×32×71×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1386 and 1389.

LCM(1386,1389) = 21×32×71×111×4631
LCM(1386,1389) = 641718

Factors of 1386

List of positive integer factors of 1386 that divides 1386 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386

Factors of 1389

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

1, 3, 463, 1389

Least Common Multiple of 1386 and 1389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1386 and 1389, than apply into the LCM equation.

GCF(1386,1389) = 3
LCM(1386,1389) = ( 1386 × 1389) / 3
LCM(1386,1389) = 1925154 / 3
LCM(1386,1389) = 641718

Properties of LCM 1386 and 1389

(i) The LCM of 1389 and 1386 is associative

LCM of 1386 and 1389 = LCM of 1389 and 1386

Related Least Common Multiples of 1386

Related Least Common Multiples of 1389

Frequently Asked Questions on LCM of 1386 and 1389

1. What is the LCM of 1386 and 1389?

Answer: LCM of 1386 and 1389 is 641718.

2. What are the Factors of 1386?

Answer: Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386. There are 24 integers that are factors of 1386. The greatest factor of 1386 is 1386.

3. 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.

4. How to Find the LCM of 1386 and 1389?

Answer:

Least Common Multiple of 1386 and 1389 = 641718

Step 1: Find the prime factorization of 1386

1386 = 2 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 1389

1389 = 3 x 463

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

LCM = 641718 = 2 x 3 x 3 x 7 x 11 x 463

Step 4: Therefore, the least common multiple of 1386 and 1389 is 641718.