Least Common Multiple of 1386 and 1393

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 1393 the smallest integer that is 275814 that is divisible by both numbers.

Least Common Multiple (LCM) of 1386 and 1393 is 275814.

LCM(1386,1393) = 275814

LCM of 1386 and 1393

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

LCM of:
and

Least Common Multiple of 1386 and 1393

LCM of 1386 and 1393 is 275814

Least common multiple can be found by multiplying the highest exponent prime factors of 1386 and 1393. First we will calculate the prime factors of 1386 and 1393.

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 1393


7 1393
199 199
1

Prime factors of 1393 are 7,199. Prime factorization of 1393 in exponential form is:

1393 = 71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1386 and 1393.

LCM(1386,1393) = 21×32×71×111×1991
LCM(1386,1393) = 275814

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 1393

List of positive integer factors of 1393 that divides 1393 without a remainder.

1, 7, 199, 1393

Least Common Multiple of 1386 and 1393 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 1393, than apply into the LCM equation.

GCF(1386,1393) = 7
LCM(1386,1393) = ( 1386 × 1393) / 7
LCM(1386,1393) = 1930698 / 7
LCM(1386,1393) = 275814

Properties of LCM 1386 and 1393

(i) The LCM of 1393 and 1386 is associative

LCM of 1386 and 1393 = LCM of 1393 and 1386

Related Least Common Multiples of 1386

Related Least Common Multiples of 1393

Frequently Asked Questions on LCM of 1386 and 1393

1. What is the LCM of 1386 and 1393?

Answer: LCM of 1386 and 1393 is 275814.

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 1393?

Answer: Factors of 1393 are 1, 7, 199, 1393. There are 4 integers that are factors of 1393. The greatest factor of 1393 is 1393.

4. How to Find the LCM of 1386 and 1393?

Answer:

Least Common Multiple of 1386 and 1393 = 275814

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 1393

1393 = 7 x 199

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

LCM = 275814 = 2 x 3 x 3 x 7 x 11 x 199

Step 4: Therefore, the least common multiple of 1386 and 1393 is 275814.