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 5336 the smallest integer that is 3553776 that is divisible by both numbers.
Least Common Multiple (LCM) of 5328 and 5336 is 3553776.
LCM(5328,5336) = 3553776
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5328 and 5336. First we will calculate the prime factors of 5328 and 5336.
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 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 5328 and 5336.
LCM(5328,5336) = 24×32×231×291×371
LCM(5328,5336) = 3553776
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 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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5328 and 5336, than apply into the LCM equation.
GCF(5328,5336) = 8
LCM(5328,5336) = ( 5328 × 5336) / 8
LCM(5328,5336) = 28430208 / 8
LCM(5328,5336) = 3553776
(i) The LCM of 5336 and 5328 is associative
LCM of 5328 and 5336 = LCM of 5336 and 5328
1. What is the LCM of 5328 and 5336?
Answer: LCM of 5328 and 5336 is 3553776.
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 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 5328 and 5336?
Answer:
Least Common Multiple of 5328 and 5336 = 3553776
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 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 = 3553776 = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 29 x 37
Step 4: Therefore, the least common multiple of 5328 and 5336 is 3553776.