Least Common Multiple of 5352 and 5359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5352 and 5359 the smallest integer that is 28681368 that is divisible by both numbers.

Least Common Multiple (LCM) of 5352 and 5359 is 28681368.

LCM(5352,5359) = 28681368

LCM of 5352 and 5359

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

LCM of:
and

Least Common Multiple of 5352 and 5359

LCM of 5352 and 5359 is 28681368

Least common multiple can be found by multiplying the highest exponent prime factors of 5352 and 5359. First we will calculate the prime factors of 5352 and 5359.

Prime Factorization of 5352


2 5352
2 2676
2 1338
3 669
223 223
1

Prime factors of 5352 are 2, 3,223. Prime factorization of 5352 in exponential form is:

5352 = 23×31×2231

Prime Factorization of 5359


23 5359
233 233
1

Prime factors of 5359 are 23,233. Prime factorization of 5359 in exponential form is:

5359 = 231×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 5352 and 5359.

LCM(5352,5359) = 23×31×231×2231×2331
LCM(5352,5359) = 28681368

Factors of 5352

List of positive integer factors of 5352 that divides 5352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352

Factors of 5359

List of positive integer factors of 5359 that divides 5359 without a remainder.

1, 23, 233, 5359

Least Common Multiple of 5352 and 5359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5352 and 5359, than apply into the LCM equation.

GCF(5352,5359) = 1
LCM(5352,5359) = ( 5352 × 5359) / 1
LCM(5352,5359) = 28681368 / 1
LCM(5352,5359) = 28681368

Properties of LCM 5352 and 5359

(i) The LCM of 5359 and 5352 is associative

LCM of 5352 and 5359 = LCM of 5359 and 5352

Related Least Common Multiples of 5352

Related Least Common Multiples of 5359

Frequently Asked Questions on LCM of 5352 and 5359

1. What is the LCM of 5352 and 5359?

Answer: LCM of 5352 and 5359 is 28681368.

2. What are the Factors of 5352?

Answer: Factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352. There are 16 integers that are factors of 5352. The greatest factor of 5352 is 5352.

3. What are the Factors of 5359?

Answer: Factors of 5359 are 1, 23, 233, 5359. There are 4 integers that are factors of 5359. The greatest factor of 5359 is 5359.

4. How to Find the LCM of 5352 and 5359?

Answer:

Least Common Multiple of 5352 and 5359 = 28681368

Step 1: Find the prime factorization of 5352

5352 = 2 x 2 x 2 x 3 x 223

Step 2: Find the prime factorization of 5359

5359 = 23 x 233

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

LCM = 28681368 = 2 x 2 x 2 x 3 x 23 x 223 x 233

Step 4: Therefore, the least common multiple of 5352 and 5359 is 28681368.