Least Common Multiple of 10328 and 10334

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 10334 the smallest integer that is 53364776 that is divisible by both numbers.

Least Common Multiple (LCM) of 10328 and 10334 is 53364776.

LCM(10328,10334) = 53364776

LCM of 10328 and 10334

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

LCM of:
and

Least Common Multiple of 10328 and 10334

LCM of 10328 and 10334 is 53364776

Least common multiple can be found by multiplying the highest exponent prime factors of 10328 and 10334. First we will calculate the prime factors of 10328 and 10334.

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 10334


2 10334
5167 5167
1

Prime factors of 10334 are 2,5167. Prime factorization of 10334 in exponential form is:

10334 = 21×51671

Now multiplying the highest exponent prime factors to calculate the LCM of 10328 and 10334.

LCM(10328,10334) = 23×12911×51671
LCM(10328,10334) = 53364776

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 10334

List of positive integer factors of 10334 that divides 10334 without a remainder.

1, 2, 5167, 10334

Least Common Multiple of 10328 and 10334 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 10334, than apply into the LCM equation.

GCF(10328,10334) = 2
LCM(10328,10334) = ( 10328 × 10334) / 2
LCM(10328,10334) = 106729552 / 2
LCM(10328,10334) = 53364776

Properties of LCM 10328 and 10334

(i) The LCM of 10334 and 10328 is associative

LCM of 10328 and 10334 = LCM of 10334 and 10328

Related Least Common Multiples of 10328

Related Least Common Multiples of 10334

Frequently Asked Questions on LCM of 10328 and 10334

1. What is the LCM of 10328 and 10334?

Answer: LCM of 10328 and 10334 is 53364776.

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 10334?

Answer: Factors of 10334 are 1, 2, 5167, 10334. There are 4 integers that are factors of 10334. The greatest factor of 10334 is 10334.

4. How to Find the LCM of 10328 and 10334?

Answer:

Least Common Multiple of 10328 and 10334 = 53364776

Step 1: Find the prime factorization of 10328

10328 = 2 x 2 x 2 x 1291

Step 2: Find the prime factorization of 10334

10334 = 2 x 5167

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

LCM = 53364776 = 2 x 2 x 2 x 1291 x 5167

Step 4: Therefore, the least common multiple of 10328 and 10334 is 53364776.