Least Common Multiple of 1328 and 1335

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 1335 the smallest integer that is 1772880 that is divisible by both numbers.

Least Common Multiple (LCM) of 1328 and 1335 is 1772880.

LCM(1328,1335) = 1772880

LCM of 1328 and 1335

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

LCM of:
and

Least Common Multiple of 1328 and 1335

LCM of 1328 and 1335 is 1772880

Least common multiple can be found by multiplying the highest exponent prime factors of 1328 and 1335. First we will calculate the prime factors of 1328 and 1335.

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 1335


3 1335
5 445
89 89
1

Prime factors of 1335 are 3, 5,89. Prime factorization of 1335 in exponential form is:

1335 = 31×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1328 and 1335.

LCM(1328,1335) = 24×31×51×831×891
LCM(1328,1335) = 1772880

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 1335

List of positive integer factors of 1335 that divides 1335 without a remainder.

1, 3, 5, 15, 89, 267, 445, 1335

Least Common Multiple of 1328 and 1335 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 1335, than apply into the LCM equation.

GCF(1328,1335) = 1
LCM(1328,1335) = ( 1328 × 1335) / 1
LCM(1328,1335) = 1772880 / 1
LCM(1328,1335) = 1772880

Properties of LCM 1328 and 1335

(i) The LCM of 1335 and 1328 is associative

LCM of 1328 and 1335 = LCM of 1335 and 1328

Related Least Common Multiples of 1328

Related Least Common Multiples of 1335

Frequently Asked Questions on LCM of 1328 and 1335

1. What is the LCM of 1328 and 1335?

Answer: LCM of 1328 and 1335 is 1772880.

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 1335?

Answer: Factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335. There are 8 integers that are factors of 1335. The greatest factor of 1335 is 1335.

4. How to Find the LCM of 1328 and 1335?

Answer:

Least Common Multiple of 1328 and 1335 = 1772880

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 1335

1335 = 3 x 5 x 89

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

LCM = 1772880 = 2 x 2 x 2 x 2 x 3 x 5 x 83 x 89

Step 4: Therefore, the least common multiple of 1328 and 1335 is 1772880.