Least Common Multiple of 1359 and 1363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1359 and 1363 the smallest integer that is 1852317 that is divisible by both numbers.

Least Common Multiple (LCM) of 1359 and 1363 is 1852317.

LCM(1359,1363) = 1852317

LCM of 1359 and 1363

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

LCM of:
and

Least Common Multiple of 1359 and 1363

LCM of 1359 and 1363 is 1852317

Least common multiple can be found by multiplying the highest exponent prime factors of 1359 and 1363. First we will calculate the prime factors of 1359 and 1363.

Prime Factorization of 1359


3 1359
3 453
151 151
1

Prime factors of 1359 are 3,151. Prime factorization of 1359 in exponential form is:

1359 = 32×1511

Prime Factorization of 1363


29 1363
47 47
1

Prime factors of 1363 are 29,47. Prime factorization of 1363 in exponential form is:

1363 = 291×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1359 and 1363.

LCM(1359,1363) = 32×291×471×1511
LCM(1359,1363) = 1852317

Factors of 1359

List of positive integer factors of 1359 that divides 1359 without a remainder.

1, 3, 9, 151, 453, 1359

Factors of 1363

List of positive integer factors of 1363 that divides 1363 without a remainder.

1, 29, 47, 1363

Least Common Multiple of 1359 and 1363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1359 and 1363, than apply into the LCM equation.

GCF(1359,1363) = 1
LCM(1359,1363) = ( 1359 × 1363) / 1
LCM(1359,1363) = 1852317 / 1
LCM(1359,1363) = 1852317

Properties of LCM 1359 and 1363

(i) The LCM of 1363 and 1359 is associative

LCM of 1359 and 1363 = LCM of 1363 and 1359

Related Least Common Multiples of 1359

Related Least Common Multiples of 1363

Frequently Asked Questions on LCM of 1359 and 1363

1. What is the LCM of 1359 and 1363?

Answer: LCM of 1359 and 1363 is 1852317.

2. What are the Factors of 1359?

Answer: Factors of 1359 are 1, 3, 9, 151, 453, 1359. There are 6 integers that are factors of 1359. The greatest factor of 1359 is 1359.

3. What are the Factors of 1363?

Answer: Factors of 1363 are 1, 29, 47, 1363. There are 4 integers that are factors of 1363. The greatest factor of 1363 is 1363.

4. How to Find the LCM of 1359 and 1363?

Answer:

Least Common Multiple of 1359 and 1363 = 1852317

Step 1: Find the prime factorization of 1359

1359 = 3 x 3 x 151

Step 2: Find the prime factorization of 1363

1363 = 29 x 47

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

LCM = 1852317 = 3 x 3 x 29 x 47 x 151

Step 4: Therefore, the least common multiple of 1359 and 1363 is 1852317.