Least Common Multiple of 1328 and 1329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1328 and 1329 the smallest integer that is 1764912 that is divisible by both numbers.

Least Common Multiple (LCM) of 1328 and 1329 is 1764912.

LCM(1328,1329) = 1764912

LCM of 1328 and 1329

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

LCM of:
and

Least Common Multiple of 1328 and 1329

LCM of 1328 and 1329 is 1764912

Least common multiple can be found by multiplying the highest exponent prime factors of 1328 and 1329. First we will calculate the prime factors of 1328 and 1329.

Prime Factorization of 1328


2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 1328 are 2,83. Prime factorization of 1328 in exponential form is:

1328 = 24×831

Prime Factorization of 1329


3 1329
443 443
1

Prime factors of 1329 are 3,443. Prime factorization of 1329 in exponential form is:

1329 = 31×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 1328 and 1329.

LCM(1328,1329) = 24×31×831×4431
LCM(1328,1329) = 1764912

Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1, 2, 4, 8, 16, 83, 166, 332, 664, 1328

Factors of 1329

List of positive integer factors of 1329 that divides 1329 without a remainder.

1, 3, 443, 1329

Least Common Multiple of 1328 and 1329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1328 and 1329, than apply into the LCM equation.

GCF(1328,1329) = 1
LCM(1328,1329) = ( 1328 × 1329) / 1
LCM(1328,1329) = 1764912 / 1
LCM(1328,1329) = 1764912

Properties of LCM 1328 and 1329

(i) The LCM of 1329 and 1328 is associative

LCM of 1328 and 1329 = LCM of 1329 and 1328

Related Least Common Multiples of 1328

Related Least Common Multiples of 1329

Frequently Asked Questions on LCM of 1328 and 1329

1. What is the LCM of 1328 and 1329?

Answer: LCM of 1328 and 1329 is 1764912.

2. What are the Factors of 1328?

Answer: Factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328. There are 10 integers that are factors of 1328. The greatest factor of 1328 is 1328.

3. What are the Factors of 1329?

Answer: Factors of 1329 are 1, 3, 443, 1329. There are 4 integers that are factors of 1329. The greatest factor of 1329 is 1329.

4. How to Find the LCM of 1328 and 1329?

Answer:

Least Common Multiple of 1328 and 1329 = 1764912

Step 1: Find the prime factorization of 1328

1328 = 2 x 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 1329

1329 = 3 x 443

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

LCM = 1764912 = 2 x 2 x 2 x 2 x 3 x 83 x 443

Step 4: Therefore, the least common multiple of 1328 and 1329 is 1764912.