Least Common Multiple of 1322 and 1328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1322 and 1328 the smallest integer that is 877808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1322 and 1328 is 877808.

LCM(1322,1328) = 877808

LCM of 1322 and 1328

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

LCM of:
and

Least Common Multiple of 1322 and 1328

LCM of 1322 and 1328 is 877808

Least common multiple can be found by multiplying the highest exponent prime factors of 1322 and 1328. First we will calculate the prime factors of 1322 and 1328.

Prime Factorization of 1322


2 1322
661 661
1

Prime factors of 1322 are 2,661. Prime factorization of 1322 in exponential form is:

1322 = 21×6611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1322 and 1328.

LCM(1322,1328) = 24×831×6611
LCM(1322,1328) = 877808

Factors of 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1, 2, 661, 1322

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

Least Common Multiple of 1322 and 1328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1322 and 1328, than apply into the LCM equation.

GCF(1322,1328) = 2
LCM(1322,1328) = ( 1322 × 1328) / 2
LCM(1322,1328) = 1755616 / 2
LCM(1322,1328) = 877808

Properties of LCM 1322 and 1328

(i) The LCM of 1328 and 1322 is associative

LCM of 1322 and 1328 = LCM of 1328 and 1322

Related Least Common Multiples of 1322

Related Least Common Multiples of 1328

Frequently Asked Questions on LCM of 1322 and 1328

1. What is the LCM of 1322 and 1328?

Answer: LCM of 1322 and 1328 is 877808.

2. What are the Factors of 1322?

Answer: Factors of 1322 are 1, 2, 661, 1322. There are 4 integers that are factors of 1322. The greatest factor of 1322 is 1322.

3. 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.

4. How to Find the LCM of 1322 and 1328?

Answer:

Least Common Multiple of 1322 and 1328 = 877808

Step 1: Find the prime factorization of 1322

1322 = 2 x 661

Step 2: Find the prime factorization of 1328

1328 = 2 x 2 x 2 x 2 x 83

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

LCM = 877808 = 2 x 2 x 2 x 2 x 83 x 661

Step 4: Therefore, the least common multiple of 1322 and 1328 is 877808.