Least Common Multiple of 5336 and 5341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5336 and 5341 the smallest integer that is 28499576 that is divisible by both numbers.

Least Common Multiple (LCM) of 5336 and 5341 is 28499576.

LCM(5336,5341) = 28499576

LCM of 5336 and 5341

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

LCM of:
and

Least Common Multiple of 5336 and 5341

LCM of 5336 and 5341 is 28499576

Least common multiple can be found by multiplying the highest exponent prime factors of 5336 and 5341. First we will calculate the prime factors of 5336 and 5341.

Prime Factorization of 5336


2 5336
2 2668
2 1334
23 667
29 29
1

Prime factors of 5336 are 2, 23,29. Prime factorization of 5336 in exponential form is:

5336 = 23×231×291

Prime Factorization of 5341


7 5341
7 763
109 109
1

Prime factors of 5341 are 7,109. Prime factorization of 5341 in exponential form is:

5341 = 72×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5336 and 5341.

LCM(5336,5341) = 23×72×231×291×1091
LCM(5336,5341) = 28499576

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336

Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1, 7, 49, 109, 763, 5341

Least Common Multiple of 5336 and 5341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5336 and 5341, than apply into the LCM equation.

GCF(5336,5341) = 1
LCM(5336,5341) = ( 5336 × 5341) / 1
LCM(5336,5341) = 28499576 / 1
LCM(5336,5341) = 28499576

Properties of LCM 5336 and 5341

(i) The LCM of 5341 and 5336 is associative

LCM of 5336 and 5341 = LCM of 5341 and 5336

Related Least Common Multiples of 5336

Related Least Common Multiples of 5341

Frequently Asked Questions on LCM of 5336 and 5341

1. What is the LCM of 5336 and 5341?

Answer: LCM of 5336 and 5341 is 28499576.

2. What are the Factors of 5336?

Answer: Factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336. There are 16 integers that are factors of 5336. The greatest factor of 5336 is 5336.

3. What are the Factors of 5341?

Answer: Factors of 5341 are 1, 7, 49, 109, 763, 5341. There are 6 integers that are factors of 5341. The greatest factor of 5341 is 5341.

4. How to Find the LCM of 5336 and 5341?

Answer:

Least Common Multiple of 5336 and 5341 = 28499576

Step 1: Find the prime factorization of 5336

5336 = 2 x 2 x 2 x 23 x 29

Step 2: Find the prime factorization of 5341

5341 = 7 x 7 x 109

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

LCM = 28499576 = 2 x 2 x 2 x 7 x 7 x 23 x 29 x 109

Step 4: Therefore, the least common multiple of 5336 and 5341 is 28499576.