Least Common Multiple of 1361 and 1366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1361 and 1366 the smallest integer that is 1859126 that is divisible by both numbers.

Least Common Multiple (LCM) of 1361 and 1366 is 1859126.

LCM(1361,1366) = 1859126

LCM of 1361 and 1366

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

LCM of:
and

Least Common Multiple of 1361 and 1366

LCM of 1361 and 1366 is 1859126

Least common multiple can be found by multiplying the highest exponent prime factors of 1361 and 1366. First we will calculate the prime factors of 1361 and 1366.

Prime Factorization of 1361


1361 1361
1

Prime factors of 1361 are 1361. Prime factorization of 1361 in exponential form is:

1361 = 13611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1361 and 1366.

LCM(1361,1366) = 21×6831×13611
LCM(1361,1366) = 1859126

Factors of 1361

List of positive integer factors of 1361 that divides 1361 without a remainder.

1, 1361

Factors of 1366

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

1, 2, 683, 1366

Least Common Multiple of 1361 and 1366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1361 and 1366, than apply into the LCM equation.

GCF(1361,1366) = 1
LCM(1361,1366) = ( 1361 × 1366) / 1
LCM(1361,1366) = 1859126 / 1
LCM(1361,1366) = 1859126

Properties of LCM 1361 and 1366

(i) The LCM of 1366 and 1361 is associative

LCM of 1361 and 1366 = LCM of 1366 and 1361

Related Least Common Multiples of 1361

Related Least Common Multiples of 1366

Frequently Asked Questions on LCM of 1361 and 1366

1. What is the LCM of 1361 and 1366?

Answer: LCM of 1361 and 1366 is 1859126.

2. What are the Factors of 1361?

Answer: Factors of 1361 are 1, 1361. There are 2 integers that are factors of 1361. The greatest factor of 1361 is 1361.

3. 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.

4. How to Find the LCM of 1361 and 1366?

Answer:

Least Common Multiple of 1361 and 1366 = 1859126

Step 1: Find the prime factorization of 1361

1361 = 1361

Step 2: Find the prime factorization of 1366

1366 = 2 x 683

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

LCM = 1859126 = 2 x 683 x 1361

Step 4: Therefore, the least common multiple of 1361 and 1366 is 1859126.