Least Common Multiple of 1328 and 1333

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 1333 the smallest integer that is 1770224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1328 and 1333 is 1770224.

LCM(1328,1333) = 1770224

LCM of 1328 and 1333

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

LCM of:
and

Least Common Multiple of 1328 and 1333

LCM of 1328 and 1333 is 1770224

Least common multiple can be found by multiplying the highest exponent prime factors of 1328 and 1333. First we will calculate the prime factors of 1328 and 1333.

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 1333


31 1333
43 43
1

Prime factors of 1333 are 31,43. Prime factorization of 1333 in exponential form is:

1333 = 311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1328 and 1333.

LCM(1328,1333) = 24×311×431×831
LCM(1328,1333) = 1770224

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 1333

List of positive integer factors of 1333 that divides 1333 without a remainder.

1, 31, 43, 1333

Least Common Multiple of 1328 and 1333 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 1333, than apply into the LCM equation.

GCF(1328,1333) = 1
LCM(1328,1333) = ( 1328 × 1333) / 1
LCM(1328,1333) = 1770224 / 1
LCM(1328,1333) = 1770224

Properties of LCM 1328 and 1333

(i) The LCM of 1333 and 1328 is associative

LCM of 1328 and 1333 = LCM of 1333 and 1328

Related Least Common Multiples of 1328

Related Least Common Multiples of 1333

Frequently Asked Questions on LCM of 1328 and 1333

1. What is the LCM of 1328 and 1333?

Answer: LCM of 1328 and 1333 is 1770224.

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 1333?

Answer: Factors of 1333 are 1, 31, 43, 1333. There are 4 integers that are factors of 1333. The greatest factor of 1333 is 1333.

4. How to Find the LCM of 1328 and 1333?

Answer:

Least Common Multiple of 1328 and 1333 = 1770224

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 1333

1333 = 31 x 43

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

LCM = 1770224 = 2 x 2 x 2 x 2 x 31 x 43 x 83

Step 4: Therefore, the least common multiple of 1328 and 1333 is 1770224.