Least Common Multiple of 10338 and 10343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10338 and 10343 the smallest integer that is 106925934 that is divisible by both numbers.

Least Common Multiple (LCM) of 10338 and 10343 is 106925934.

LCM(10338,10343) = 106925934

LCM of 10338 and 10343

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

LCM of:
and

Least Common Multiple of 10338 and 10343

LCM of 10338 and 10343 is 106925934

Least common multiple can be found by multiplying the highest exponent prime factors of 10338 and 10343. First we will calculate the prime factors of 10338 and 10343.

Prime Factorization of 10338


2 10338
3 5169
1723 1723
1

Prime factors of 10338 are 2, 3,1723. Prime factorization of 10338 in exponential form is:

10338 = 21×31×17231

Prime Factorization of 10343


10343 10343
1

Prime factors of 10343 are 10343. Prime factorization of 10343 in exponential form is:

10343 = 103431

Now multiplying the highest exponent prime factors to calculate the LCM of 10338 and 10343.

LCM(10338,10343) = 21×31×17231×103431
LCM(10338,10343) = 106925934

Factors of 10338

List of positive integer factors of 10338 that divides 10338 without a remainder.

1, 2, 3, 6, 1723, 3446, 5169, 10338

Factors of 10343

List of positive integer factors of 10343 that divides 10343 without a remainder.

1, 10343

Least Common Multiple of 10338 and 10343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10338 and 10343, than apply into the LCM equation.

GCF(10338,10343) = 1
LCM(10338,10343) = ( 10338 × 10343) / 1
LCM(10338,10343) = 106925934 / 1
LCM(10338,10343) = 106925934

Properties of LCM 10338 and 10343

(i) The LCM of 10343 and 10338 is associative

LCM of 10338 and 10343 = LCM of 10343 and 10338

Related Least Common Multiples of 10338

Related Least Common Multiples of 10343

Frequently Asked Questions on LCM of 10338 and 10343

1. What is the LCM of 10338 and 10343?

Answer: LCM of 10338 and 10343 is 106925934.

2. What are the Factors of 10338?

Answer: Factors of 10338 are 1, 2, 3, 6, 1723, 3446, 5169, 10338. There are 8 integers that are factors of 10338. The greatest factor of 10338 is 10338.

3. What are the Factors of 10343?

Answer: Factors of 10343 are 1, 10343. There are 2 integers that are factors of 10343. The greatest factor of 10343 is 10343.

4. How to Find the LCM of 10338 and 10343?

Answer:

Least Common Multiple of 10338 and 10343 = 106925934

Step 1: Find the prime factorization of 10338

10338 = 2 x 3 x 1723

Step 2: Find the prime factorization of 10343

10343 = 10343

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

LCM = 106925934 = 2 x 3 x 1723 x 10343

Step 4: Therefore, the least common multiple of 10338 and 10343 is 106925934.