Least Common Multiple of 5332 and 5336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5332 and 5336 the smallest integer that is 7112888 that is divisible by both numbers.

Least Common Multiple (LCM) of 5332 and 5336 is 7112888.

LCM(5332,5336) = 7112888

LCM of 5332 and 5336

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

LCM of:
and

Least Common Multiple of 5332 and 5336

LCM of 5332 and 5336 is 7112888

Least common multiple can be found by multiplying the highest exponent prime factors of 5332 and 5336. First we will calculate the prime factors of 5332 and 5336.

Prime Factorization of 5332


2 5332
2 2666
31 1333
43 43
1

Prime factors of 5332 are 2, 31,43. Prime factorization of 5332 in exponential form is:

5332 = 22×311×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5332 and 5336.

LCM(5332,5336) = 23×231×291×311×431
LCM(5332,5336) = 7112888

Factors of 5332

List of positive integer factors of 5332 that divides 5332 without a remainder.

1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332

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

Least Common Multiple of 5332 and 5336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5332 and 5336, than apply into the LCM equation.

GCF(5332,5336) = 4
LCM(5332,5336) = ( 5332 × 5336) / 4
LCM(5332,5336) = 28451552 / 4
LCM(5332,5336) = 7112888

Properties of LCM 5332 and 5336

(i) The LCM of 5336 and 5332 is associative

LCM of 5332 and 5336 = LCM of 5336 and 5332

Related Least Common Multiples of 5332

Related Least Common Multiples of 5336

Frequently Asked Questions on LCM of 5332 and 5336

1. What is the LCM of 5332 and 5336?

Answer: LCM of 5332 and 5336 is 7112888.

2. What are the Factors of 5332?

Answer: Factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332. There are 12 integers that are factors of 5332. The greatest factor of 5332 is 5332.

3. 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.

4. How to Find the LCM of 5332 and 5336?

Answer:

Least Common Multiple of 5332 and 5336 = 7112888

Step 1: Find the prime factorization of 5332

5332 = 2 x 2 x 31 x 43

Step 2: Find the prime factorization of 5336

5336 = 2 x 2 x 2 x 23 x 29

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

LCM = 7112888 = 2 x 2 x 2 x 23 x 29 x 31 x 43

Step 4: Therefore, the least common multiple of 5332 and 5336 is 7112888.