Least Common Multiple of 1360 and 1364

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 1364 the smallest integer that is 463760 that is divisible by both numbers.

Least Common Multiple (LCM) of 1360 and 1364 is 463760.

LCM(1360,1364) = 463760

LCM of 1360 and 1364

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

LCM of:
and

Least Common Multiple of 1360 and 1364

LCM of 1360 and 1364 is 463760

Least common multiple can be found by multiplying the highest exponent prime factors of 1360 and 1364. First we will calculate the prime factors of 1360 and 1364.

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 1364


2 1364
2 682
11 341
31 31
1

Prime factors of 1364 are 2, 11,31. Prime factorization of 1364 in exponential form is:

1364 = 22×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1360 and 1364.

LCM(1360,1364) = 24×51×111×171×311
LCM(1360,1364) = 463760

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 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

Least Common Multiple of 1360 and 1364 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 1364, than apply into the LCM equation.

GCF(1360,1364) = 4
LCM(1360,1364) = ( 1360 × 1364) / 4
LCM(1360,1364) = 1855040 / 4
LCM(1360,1364) = 463760

Properties of LCM 1360 and 1364

(i) The LCM of 1364 and 1360 is associative

LCM of 1360 and 1364 = LCM of 1364 and 1360

Related Least Common Multiples of 1360

Related Least Common Multiples of 1364

Frequently Asked Questions on LCM of 1360 and 1364

1. What is the LCM of 1360 and 1364?

Answer: LCM of 1360 and 1364 is 463760.

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 1364?

Answer: Factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. There are 12 integers that are factors of 1364. The greatest factor of 1364 is 1364.

4. How to Find the LCM of 1360 and 1364?

Answer:

Least Common Multiple of 1360 and 1364 = 463760

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 1364

1364 = 2 x 2 x 11 x 31

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

LCM = 463760 = 2 x 2 x 2 x 2 x 5 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 1360 and 1364 is 463760.