Least Common Multiple of 10322 and 10328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10322 and 10328 the smallest integer that is 53302808 that is divisible by both numbers.

Least Common Multiple (LCM) of 10322 and 10328 is 53302808.

LCM(10322,10328) = 53302808

LCM of 10322 and 10328

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

LCM of:
and

Least Common Multiple of 10322 and 10328

LCM of 10322 and 10328 is 53302808

Least common multiple can be found by multiplying the highest exponent prime factors of 10322 and 10328. First we will calculate the prime factors of 10322 and 10328.

Prime Factorization of 10322


2 10322
13 5161
397 397
1

Prime factors of 10322 are 2, 13,397. Prime factorization of 10322 in exponential form is:

10322 = 21×131×3971

Prime Factorization of 10328


2 10328
2 5164
2 2582
1291 1291
1

Prime factors of 10328 are 2,1291. Prime factorization of 10328 in exponential form is:

10328 = 23×12911

Now multiplying the highest exponent prime factors to calculate the LCM of 10322 and 10328.

LCM(10322,10328) = 23×131×3971×12911
LCM(10322,10328) = 53302808

Factors of 10322

List of positive integer factors of 10322 that divides 10322 without a remainder.

1, 2, 13, 26, 397, 794, 5161, 10322

Factors of 10328

List of positive integer factors of 10328 that divides 10328 without a remainder.

1, 2, 4, 8, 1291, 2582, 5164, 10328

Least Common Multiple of 10322 and 10328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10322 and 10328, than apply into the LCM equation.

GCF(10322,10328) = 2
LCM(10322,10328) = ( 10322 × 10328) / 2
LCM(10322,10328) = 106605616 / 2
LCM(10322,10328) = 53302808

Properties of LCM 10322 and 10328

(i) The LCM of 10328 and 10322 is associative

LCM of 10322 and 10328 = LCM of 10328 and 10322

Related Least Common Multiples of 10322

Related Least Common Multiples of 10328

Frequently Asked Questions on LCM of 10322 and 10328

1. What is the LCM of 10322 and 10328?

Answer: LCM of 10322 and 10328 is 53302808.

2. What are the Factors of 10322?

Answer: Factors of 10322 are 1, 2, 13, 26, 397, 794, 5161, 10322. There are 8 integers that are factors of 10322. The greatest factor of 10322 is 10322.

3. What are the Factors of 10328?

Answer: Factors of 10328 are 1, 2, 4, 8, 1291, 2582, 5164, 10328. There are 8 integers that are factors of 10328. The greatest factor of 10328 is 10328.

4. How to Find the LCM of 10322 and 10328?

Answer:

Least Common Multiple of 10322 and 10328 = 53302808

Step 1: Find the prime factorization of 10322

10322 = 2 x 13 x 397

Step 2: Find the prime factorization of 10328

10328 = 2 x 2 x 2 x 1291

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

LCM = 53302808 = 2 x 2 x 2 x 13 x 397 x 1291

Step 4: Therefore, the least common multiple of 10322 and 10328 is 53302808.