Least Common Multiple of 1360 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 1360 and 1366 the smallest integer that is 928880 that is divisible by both numbers.

Least Common Multiple (LCM) of 1360 and 1366 is 928880.

LCM(1360,1366) = 928880

LCM of 1360 and 1366

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

LCM of:
and

Least Common Multiple of 1360 and 1366

LCM of 1360 and 1366 is 928880

Least common multiple can be found by multiplying the highest exponent prime factors of 1360 and 1366. First we will calculate the prime factors of 1360 and 1366.

Prime Factorization of 1360


2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 1360 are 2, 5,17. Prime factorization of 1360 in exponential form is:

1360 = 24×51×171

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 1360 and 1366.

LCM(1360,1366) = 24×51×171×6831
LCM(1360,1366) = 928880

Factors of 1360

List of positive integer factors of 1360 that divides 1360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360

Factors of 1366

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

1, 2, 683, 1366

Least Common Multiple of 1360 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 1360 and 1366, than apply into the LCM equation.

GCF(1360,1366) = 2
LCM(1360,1366) = ( 1360 × 1366) / 2
LCM(1360,1366) = 1857760 / 2
LCM(1360,1366) = 928880

Properties of LCM 1360 and 1366

(i) The LCM of 1366 and 1360 is associative

LCM of 1360 and 1366 = LCM of 1366 and 1360

Related Least Common Multiples of 1360

Related Least Common Multiples of 1366

Frequently Asked Questions on LCM of 1360 and 1366

1. What is the LCM of 1360 and 1366?

Answer: LCM of 1360 and 1366 is 928880.

2. What are the Factors of 1360?

Answer: Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. There are 20 integers that are factors of 1360. The greatest factor of 1360 is 1360.

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 1360 and 1366?

Answer:

Least Common Multiple of 1360 and 1366 = 928880

Step 1: Find the prime factorization of 1360

1360 = 2 x 2 x 2 x 2 x 5 x 17

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 = 928880 = 2 x 2 x 2 x 2 x 5 x 17 x 683

Step 4: Therefore, the least common multiple of 1360 and 1366 is 928880.