Least Common Multiple of 10328 and 10335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10328 and 10335 the smallest integer that is 106739880 that is divisible by both numbers.

Least Common Multiple (LCM) of 10328 and 10335 is 106739880.

LCM(10328,10335) = 106739880

LCM of 10328 and 10335

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

LCM of:
and

Least Common Multiple of 10328 and 10335

LCM of 10328 and 10335 is 106739880

Least common multiple can be found by multiplying the highest exponent prime factors of 10328 and 10335. First we will calculate the prime factors of 10328 and 10335.

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

Prime Factorization of 10335


3 10335
5 3445
13 689
53 53
1

Prime factors of 10335 are 3, 5, 13,53. Prime factorization of 10335 in exponential form is:

10335 = 31×51×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 10328 and 10335.

LCM(10328,10335) = 23×31×51×131×531×12911
LCM(10328,10335) = 106739880

Factors of 10328

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

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

Factors of 10335

List of positive integer factors of 10335 that divides 10335 without a remainder.

1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335

Least Common Multiple of 10328 and 10335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10328 and 10335, than apply into the LCM equation.

GCF(10328,10335) = 1
LCM(10328,10335) = ( 10328 × 10335) / 1
LCM(10328,10335) = 106739880 / 1
LCM(10328,10335) = 106739880

Properties of LCM 10328 and 10335

(i) The LCM of 10335 and 10328 is associative

LCM of 10328 and 10335 = LCM of 10335 and 10328

Related Least Common Multiples of 10328

Related Least Common Multiples of 10335

Frequently Asked Questions on LCM of 10328 and 10335

1. What is the LCM of 10328 and 10335?

Answer: LCM of 10328 and 10335 is 106739880.

2. 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.

3. What are the Factors of 10335?

Answer: Factors of 10335 are 1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335. There are 16 integers that are factors of 10335. The greatest factor of 10335 is 10335.

4. How to Find the LCM of 10328 and 10335?

Answer:

Least Common Multiple of 10328 and 10335 = 106739880

Step 1: Find the prime factorization of 10328

10328 = 2 x 2 x 2 x 1291

Step 2: Find the prime factorization of 10335

10335 = 3 x 5 x 13 x 53

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

LCM = 106739880 = 2 x 2 x 2 x 3 x 5 x 13 x 53 x 1291

Step 4: Therefore, the least common multiple of 10328 and 10335 is 106739880.