Least Common Multiple of 10336 and 10340

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 10340 the smallest integer that is 26718560 that is divisible by both numbers.

Least Common Multiple (LCM) of 10336 and 10340 is 26718560.

LCM(10336,10340) = 26718560

LCM of 10336 and 10340

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

LCM of:
and

Least Common Multiple of 10336 and 10340

LCM of 10336 and 10340 is 26718560

Least common multiple can be found by multiplying the highest exponent prime factors of 10336 and 10340. First we will calculate the prime factors of 10336 and 10340.

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 10340


2 10340
2 5170
5 2585
11 517
47 47
1

Prime factors of 10340 are 2, 5, 11,47. Prime factorization of 10340 in exponential form is:

10340 = 22×51×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 10336 and 10340.

LCM(10336,10340) = 25×51×111×171×191×471
LCM(10336,10340) = 26718560

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 10340

List of positive integer factors of 10340 that divides 10340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340

Least Common Multiple of 10336 and 10340 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 10340, than apply into the LCM equation.

GCF(10336,10340) = 4
LCM(10336,10340) = ( 10336 × 10340) / 4
LCM(10336,10340) = 106874240 / 4
LCM(10336,10340) = 26718560

Properties of LCM 10336 and 10340

(i) The LCM of 10340 and 10336 is associative

LCM of 10336 and 10340 = LCM of 10340 and 10336

Related Least Common Multiples of 10336

Related Least Common Multiples of 10340

Frequently Asked Questions on LCM of 10336 and 10340

1. What is the LCM of 10336 and 10340?

Answer: LCM of 10336 and 10340 is 26718560.

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 10340?

Answer: Factors of 10340 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340. There are 24 integers that are factors of 10340. The greatest factor of 10340 is 10340.

4. How to Find the LCM of 10336 and 10340?

Answer:

Least Common Multiple of 10336 and 10340 = 26718560

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 10340

10340 = 2 x 2 x 5 x 11 x 47

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

LCM = 26718560 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 17 x 19 x 47

Step 4: Therefore, the least common multiple of 10336 and 10340 is 26718560.