Least Common Multiple of 10336 and 10342

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 10342 the smallest integer that is 53447456 that is divisible by both numbers.

Least Common Multiple (LCM) of 10336 and 10342 is 53447456.

LCM(10336,10342) = 53447456

LCM of 10336 and 10342

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

LCM of:
and

Least Common Multiple of 10336 and 10342

LCM of 10336 and 10342 is 53447456

Least common multiple can be found by multiplying the highest exponent prime factors of 10336 and 10342. First we will calculate the prime factors of 10336 and 10342.

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 10342


2 10342
5171 5171
1

Prime factors of 10342 are 2,5171. Prime factorization of 10342 in exponential form is:

10342 = 21×51711

Now multiplying the highest exponent prime factors to calculate the LCM of 10336 and 10342.

LCM(10336,10342) = 25×171×191×51711
LCM(10336,10342) = 53447456

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 10342

List of positive integer factors of 10342 that divides 10342 without a remainder.

1, 2, 5171, 10342

Least Common Multiple of 10336 and 10342 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 10342, than apply into the LCM equation.

GCF(10336,10342) = 2
LCM(10336,10342) = ( 10336 × 10342) / 2
LCM(10336,10342) = 106894912 / 2
LCM(10336,10342) = 53447456

Properties of LCM 10336 and 10342

(i) The LCM of 10342 and 10336 is associative

LCM of 10336 and 10342 = LCM of 10342 and 10336

Related Least Common Multiples of 10336

Related Least Common Multiples of 10342

Frequently Asked Questions on LCM of 10336 and 10342

1. What is the LCM of 10336 and 10342?

Answer: LCM of 10336 and 10342 is 53447456.

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 10342?

Answer: Factors of 10342 are 1, 2, 5171, 10342. There are 4 integers that are factors of 10342. The greatest factor of 10342 is 10342.

4. How to Find the LCM of 10336 and 10342?

Answer:

Least Common Multiple of 10336 and 10342 = 53447456

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 10342

10342 = 2 x 5171

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

LCM = 53447456 = 2 x 2 x 2 x 2 x 2 x 17 x 19 x 5171

Step 4: Therefore, the least common multiple of 10336 and 10342 is 53447456.