Least Common Multiple of 1366 and 1367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1366 and 1367 the smallest integer that is 1867322 that is divisible by both numbers.

Least Common Multiple (LCM) of 1366 and 1367 is 1867322.

LCM(1366,1367) = 1867322

LCM of 1366 and 1367

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

LCM of:
and

Least Common Multiple of 1366 and 1367

LCM of 1366 and 1367 is 1867322

Least common multiple can be found by multiplying the highest exponent prime factors of 1366 and 1367. First we will calculate the prime factors of 1366 and 1367.

Prime Factorization of 1366


2 1366
683 683
1

Prime factors of 1366 are 2,683. Prime factorization of 1366 in exponential form is:

1366 = 21×6831

Prime Factorization of 1367


1367 1367
1

Prime factors of 1367 are 1367. Prime factorization of 1367 in exponential form is:

1367 = 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 1366 and 1367.

LCM(1366,1367) = 21×6831×13671
LCM(1366,1367) = 1867322

Factors of 1366

List of positive integer factors of 1366 that divides 1366 without a remainder.

1, 2, 683, 1366

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1, 1367

Least Common Multiple of 1366 and 1367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1366 and 1367, than apply into the LCM equation.

GCF(1366,1367) = 1
LCM(1366,1367) = ( 1366 × 1367) / 1
LCM(1366,1367) = 1867322 / 1
LCM(1366,1367) = 1867322

Properties of LCM 1366 and 1367

(i) The LCM of 1367 and 1366 is associative

LCM of 1366 and 1367 = LCM of 1367 and 1366

Related Least Common Multiples of 1366

Related Least Common Multiples of 1367

Frequently Asked Questions on LCM of 1366 and 1367

1. What is the LCM of 1366 and 1367?

Answer: LCM of 1366 and 1367 is 1867322.

2. What are the Factors of 1366?

Answer: Factors of 1366 are 1, 2, 683, 1366. There are 4 integers that are factors of 1366. The greatest factor of 1366 is 1366.

3. What are the Factors of 1367?

Answer: Factors of 1367 are 1, 1367. There are 2 integers that are factors of 1367. The greatest factor of 1367 is 1367.

4. How to Find the LCM of 1366 and 1367?

Answer:

Least Common Multiple of 1366 and 1367 = 1867322

Step 1: Find the prime factorization of 1366

1366 = 2 x 683

Step 2: Find the prime factorization of 1367

1367 = 1367

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

LCM = 1867322 = 2 x 683 x 1367

Step 4: Therefore, the least common multiple of 1366 and 1367 is 1867322.