Least Common Multiple of 1359 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 1359 and 1364 the smallest integer that is 1853676 that is divisible by both numbers.

Least Common Multiple (LCM) of 1359 and 1364 is 1853676.

LCM(1359,1364) = 1853676

LCM of 1359 and 1364

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

LCM of:
and

Least Common Multiple of 1359 and 1364

LCM of 1359 and 1364 is 1853676

Least common multiple can be found by multiplying the highest exponent prime factors of 1359 and 1364. First we will calculate the prime factors of 1359 and 1364.

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 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 1359 and 1364.

LCM(1359,1364) = 22×32×111×311×1511
LCM(1359,1364) = 1853676

Factors of 1359

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

1, 3, 9, 151, 453, 1359

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 1359 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 1359 and 1364, than apply into the LCM equation.

GCF(1359,1364) = 1
LCM(1359,1364) = ( 1359 × 1364) / 1
LCM(1359,1364) = 1853676 / 1
LCM(1359,1364) = 1853676

Properties of LCM 1359 and 1364

(i) The LCM of 1364 and 1359 is associative

LCM of 1359 and 1364 = LCM of 1364 and 1359

Related Least Common Multiples of 1359

Related Least Common Multiples of 1364

Frequently Asked Questions on LCM of 1359 and 1364

1. What is the LCM of 1359 and 1364?

Answer: LCM of 1359 and 1364 is 1853676.

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 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 1359 and 1364?

Answer:

Least Common Multiple of 1359 and 1364 = 1853676

Step 1: Find the prime factorization of 1359

1359 = 3 x 3 x 151

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 = 1853676 = 2 x 2 x 3 x 3 x 11 x 31 x 151

Step 4: Therefore, the least common multiple of 1359 and 1364 is 1853676.