Least Common Multiple of 10336 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 10336 and 10343 the smallest integer that is 106905248 that is divisible by both numbers.

Least Common Multiple (LCM) of 10336 and 10343 is 106905248.

LCM(10336,10343) = 106905248

LCM of 10336 and 10343

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

LCM of:
and

Least Common Multiple of 10336 and 10343

LCM of 10336 and 10343 is 106905248

Least common multiple can be found by multiplying the highest exponent prime factors of 10336 and 10343. First we will calculate the prime factors of 10336 and 10343.

Prime Factorization of 10336


2 10336
2 5168
2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 10336 are 2, 17,19. Prime factorization of 10336 in exponential form is:

10336 = 25×171×191

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 10336 and 10343.

LCM(10336,10343) = 25×171×191×103431
LCM(10336,10343) = 106905248

Factors of 10336

List of positive integer factors of 10336 that divides 10336 without a remainder.

1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1292, 2584, 5168, 10336

Factors of 10343

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

1, 10343

Least Common Multiple of 10336 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 10336 and 10343, than apply into the LCM equation.

GCF(10336,10343) = 1
LCM(10336,10343) = ( 10336 × 10343) / 1
LCM(10336,10343) = 106905248 / 1
LCM(10336,10343) = 106905248

Properties of LCM 10336 and 10343

(i) The LCM of 10343 and 10336 is associative

LCM of 10336 and 10343 = LCM of 10343 and 10336

Related Least Common Multiples of 10336

Related Least Common Multiples of 10343

Frequently Asked Questions on LCM of 10336 and 10343

1. What is the LCM of 10336 and 10343?

Answer: LCM of 10336 and 10343 is 106905248.

2. What are the Factors of 10336?

Answer: Factors of 10336 are 1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1292, 2584, 5168, 10336. There are 24 integers that are factors of 10336. The greatest factor of 10336 is 10336.

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 10336 and 10343?

Answer:

Least Common Multiple of 10336 and 10343 = 106905248

Step 1: Find the prime factorization of 10336

10336 = 2 x 2 x 2 x 2 x 2 x 17 x 19

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 = 106905248 = 2 x 2 x 2 x 2 x 2 x 17 x 19 x 10343

Step 4: Therefore, the least common multiple of 10336 and 10343 is 106905248.