Least Common Multiple of 1386 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 1386 and 1394 the smallest integer that is 966042 that is divisible by both numbers.

Least Common Multiple (LCM) of 1386 and 1394 is 966042.

LCM(1386,1394) = 966042

LCM of 1386 and 1394

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

LCM of:
and

Least Common Multiple of 1386 and 1394

LCM of 1386 and 1394 is 966042

Least common multiple can be found by multiplying the highest exponent prime factors of 1386 and 1394. First we will calculate the prime factors of 1386 and 1394.

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 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 1386 and 1394.

LCM(1386,1394) = 21×32×71×111×171×411
LCM(1386,1394) = 966042

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 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 1386 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 1386 and 1394, than apply into the LCM equation.

GCF(1386,1394) = 2
LCM(1386,1394) = ( 1386 × 1394) / 2
LCM(1386,1394) = 1932084 / 2
LCM(1386,1394) = 966042

Properties of LCM 1386 and 1394

(i) The LCM of 1394 and 1386 is associative

LCM of 1386 and 1394 = LCM of 1394 and 1386

Related Least Common Multiples of 1386

Related Least Common Multiples of 1394

Frequently Asked Questions on LCM of 1386 and 1394

1. What is the LCM of 1386 and 1394?

Answer: LCM of 1386 and 1394 is 966042.

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 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 1386 and 1394?

Answer:

Least Common Multiple of 1386 and 1394 = 966042

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 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 = 966042 = 2 x 3 x 3 x 7 x 11 x 17 x 41

Step 4: Therefore, the least common multiple of 1386 and 1394 is 966042.