Least Common Multiple of 5328 and 5334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5328 and 5334 the smallest integer that is 4736592 that is divisible by both numbers.

Least Common Multiple (LCM) of 5328 and 5334 is 4736592.

LCM(5328,5334) = 4736592

LCM of 5328 and 5334

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

LCM of:
and

Least Common Multiple of 5328 and 5334

LCM of 5328 and 5334 is 4736592

Least common multiple can be found by multiplying the highest exponent prime factors of 5328 and 5334. First we will calculate the prime factors of 5328 and 5334.

Prime Factorization of 5328


2 5328
2 2664
2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 5328 are 2, 3,37. Prime factorization of 5328 in exponential form is:

5328 = 24×32×371

Prime Factorization of 5334


2 5334
3 2667
7 889
127 127
1

Prime factors of 5334 are 2, 3, 7,127. Prime factorization of 5334 in exponential form is:

5334 = 21×31×71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5328 and 5334.

LCM(5328,5334) = 24×32×71×371×1271
LCM(5328,5334) = 4736592

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334

Least Common Multiple of 5328 and 5334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5328 and 5334, than apply into the LCM equation.

GCF(5328,5334) = 6
LCM(5328,5334) = ( 5328 × 5334) / 6
LCM(5328,5334) = 28419552 / 6
LCM(5328,5334) = 4736592

Properties of LCM 5328 and 5334

(i) The LCM of 5334 and 5328 is associative

LCM of 5328 and 5334 = LCM of 5334 and 5328

Related Least Common Multiples of 5328

Related Least Common Multiples of 5334

Frequently Asked Questions on LCM of 5328 and 5334

1. What is the LCM of 5328 and 5334?

Answer: LCM of 5328 and 5334 is 4736592.

2. What are the Factors of 5328?

Answer: Factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328. There are 30 integers that are factors of 5328. The greatest factor of 5328 is 5328.

3. What are the Factors of 5334?

Answer: Factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334. There are 16 integers that are factors of 5334. The greatest factor of 5334 is 5334.

4. How to Find the LCM of 5328 and 5334?

Answer:

Least Common Multiple of 5328 and 5334 = 4736592

Step 1: Find the prime factorization of 5328

5328 = 2 x 2 x 2 x 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 5334

5334 = 2 x 3 x 7 x 127

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

LCM = 4736592 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 37 x 127

Step 4: Therefore, the least common multiple of 5328 and 5334 is 4736592.