Least Common Multiple of 1360 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 1360 and 1367 the smallest integer that is 1859120 that is divisible by both numbers.

Least Common Multiple (LCM) of 1360 and 1367 is 1859120.

LCM(1360,1367) = 1859120

LCM of 1360 and 1367

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

LCM of:
and

Least Common Multiple of 1360 and 1367

LCM of 1360 and 1367 is 1859120

Least common multiple can be found by multiplying the highest exponent prime factors of 1360 and 1367. First we will calculate the prime factors of 1360 and 1367.

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 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 1360 and 1367.

LCM(1360,1367) = 24×51×171×13671
LCM(1360,1367) = 1859120

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 1367

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

1, 1367

Least Common Multiple of 1360 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 1360 and 1367, than apply into the LCM equation.

GCF(1360,1367) = 1
LCM(1360,1367) = ( 1360 × 1367) / 1
LCM(1360,1367) = 1859120 / 1
LCM(1360,1367) = 1859120

Properties of LCM 1360 and 1367

(i) The LCM of 1367 and 1360 is associative

LCM of 1360 and 1367 = LCM of 1367 and 1360

Related Least Common Multiples of 1360

Related Least Common Multiples of 1367

Frequently Asked Questions on LCM of 1360 and 1367

1. What is the LCM of 1360 and 1367?

Answer: LCM of 1360 and 1367 is 1859120.

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 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 1360 and 1367?

Answer:

Least Common Multiple of 1360 and 1367 = 1859120

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 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 = 1859120 = 2 x 2 x 2 x 2 x 5 x 17 x 1367

Step 4: Therefore, the least common multiple of 1360 and 1367 is 1859120.