Least Common Multiple of 10336 and 10344

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 10344 the smallest integer that is 13364448 that is divisible by both numbers.

Least Common Multiple (LCM) of 10336 and 10344 is 13364448.

LCM(10336,10344) = 13364448

LCM of 10336 and 10344

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

LCM of:
and

Least Common Multiple of 10336 and 10344

LCM of 10336 and 10344 is 13364448

Least common multiple can be found by multiplying the highest exponent prime factors of 10336 and 10344. First we will calculate the prime factors of 10336 and 10344.

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 10344


2 10344
2 5172
2 2586
3 1293
431 431
1

Prime factors of 10344 are 2, 3,431. Prime factorization of 10344 in exponential form is:

10344 = 23×31×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 10336 and 10344.

LCM(10336,10344) = 25×31×171×191×4311
LCM(10336,10344) = 13364448

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 10344

List of positive integer factors of 10344 that divides 10344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 431, 862, 1293, 1724, 2586, 3448, 5172, 10344

Least Common Multiple of 10336 and 10344 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 10344, than apply into the LCM equation.

GCF(10336,10344) = 8
LCM(10336,10344) = ( 10336 × 10344) / 8
LCM(10336,10344) = 106915584 / 8
LCM(10336,10344) = 13364448

Properties of LCM 10336 and 10344

(i) The LCM of 10344 and 10336 is associative

LCM of 10336 and 10344 = LCM of 10344 and 10336

Related Least Common Multiples of 10336

Related Least Common Multiples of 10344

Frequently Asked Questions on LCM of 10336 and 10344

1. What is the LCM of 10336 and 10344?

Answer: LCM of 10336 and 10344 is 13364448.

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 10344?

Answer: Factors of 10344 are 1, 2, 3, 4, 6, 8, 12, 24, 431, 862, 1293, 1724, 2586, 3448, 5172, 10344. There are 16 integers that are factors of 10344. The greatest factor of 10344 is 10344.

4. How to Find the LCM of 10336 and 10344?

Answer:

Least Common Multiple of 10336 and 10344 = 13364448

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 10344

10344 = 2 x 2 x 2 x 3 x 431

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

LCM = 13364448 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 x 431

Step 4: Therefore, the least common multiple of 10336 and 10344 is 13364448.