Least Common Multiple of 1366 and 1370

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 1370 the smallest integer that is 935710 that is divisible by both numbers.

Least Common Multiple (LCM) of 1366 and 1370 is 935710.

LCM(1366,1370) = 935710

LCM of 1366 and 1370

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

LCM of:
and

Least Common Multiple of 1366 and 1370

LCM of 1366 and 1370 is 935710

Least common multiple can be found by multiplying the highest exponent prime factors of 1366 and 1370. First we will calculate the prime factors of 1366 and 1370.

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 1370


2 1370
5 685
137 137
1

Prime factors of 1370 are 2, 5,137. Prime factorization of 1370 in exponential form is:

1370 = 21×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1366 and 1370.

LCM(1366,1370) = 21×51×1371×6831
LCM(1366,1370) = 935710

Factors of 1366

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

1, 2, 683, 1366

Factors of 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1, 2, 5, 10, 137, 274, 685, 1370

Least Common Multiple of 1366 and 1370 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 1370, than apply into the LCM equation.

GCF(1366,1370) = 2
LCM(1366,1370) = ( 1366 × 1370) / 2
LCM(1366,1370) = 1871420 / 2
LCM(1366,1370) = 935710

Properties of LCM 1366 and 1370

(i) The LCM of 1370 and 1366 is associative

LCM of 1366 and 1370 = LCM of 1370 and 1366

Related Least Common Multiples of 1366

Related Least Common Multiples of 1370

Frequently Asked Questions on LCM of 1366 and 1370

1. What is the LCM of 1366 and 1370?

Answer: LCM of 1366 and 1370 is 935710.

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 1370?

Answer: Factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370. There are 8 integers that are factors of 1370. The greatest factor of 1370 is 1370.

4. How to Find the LCM of 1366 and 1370?

Answer:

Least Common Multiple of 1366 and 1370 = 935710

Step 1: Find the prime factorization of 1366

1366 = 2 x 683

Step 2: Find the prime factorization of 1370

1370 = 2 x 5 x 137

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

LCM = 935710 = 2 x 5 x 137 x 683

Step 4: Therefore, the least common multiple of 1366 and 1370 is 935710.