Least Common Multiple of 5368 and 5376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5368 and 5376 the smallest integer that is 3607296 that is divisible by both numbers.

Least Common Multiple (LCM) of 5368 and 5376 is 3607296.

LCM(5368,5376) = 3607296

LCM of 5368 and 5376

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

LCM of:
and

Least Common Multiple of 5368 and 5376

LCM of 5368 and 5376 is 3607296

Least common multiple can be found by multiplying the highest exponent prime factors of 5368 and 5376. First we will calculate the prime factors of 5368 and 5376.

Prime Factorization of 5368


2 5368
2 2684
2 1342
11 671
61 61
1

Prime factors of 5368 are 2, 11,61. Prime factorization of 5368 in exponential form is:

5368 = 23×111×611

Prime Factorization of 5376


2 5376
2 2688
2 1344
2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 5376 are 2, 3,7. Prime factorization of 5376 in exponential form is:

5376 = 28×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 5368 and 5376.

LCM(5368,5376) = 28×31×71×111×611
LCM(5368,5376) = 3607296

Factors of 5368

List of positive integer factors of 5368 that divides 5368 without a remainder.

1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368

Factors of 5376

List of positive integer factors of 5376 that divides 5376 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376

Least Common Multiple of 5368 and 5376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5368 and 5376, than apply into the LCM equation.

GCF(5368,5376) = 8
LCM(5368,5376) = ( 5368 × 5376) / 8
LCM(5368,5376) = 28858368 / 8
LCM(5368,5376) = 3607296

Properties of LCM 5368 and 5376

(i) The LCM of 5376 and 5368 is associative

LCM of 5368 and 5376 = LCM of 5376 and 5368

Related Least Common Multiples of 5368

Related Least Common Multiples of 5376

Frequently Asked Questions on LCM of 5368 and 5376

1. What is the LCM of 5368 and 5376?

Answer: LCM of 5368 and 5376 is 3607296.

2. What are the Factors of 5368?

Answer: Factors of 5368 are 1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368. There are 16 integers that are factors of 5368. The greatest factor of 5368 is 5368.

3. What are the Factors of 5376?

Answer: Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. There are 36 integers that are factors of 5376. The greatest factor of 5376 is 5376.

4. How to Find the LCM of 5368 and 5376?

Answer:

Least Common Multiple of 5368 and 5376 = 3607296

Step 1: Find the prime factorization of 5368

5368 = 2 x 2 x 2 x 11 x 61

Step 2: Find the prime factorization of 5376

5376 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 3607296 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 61

Step 4: Therefore, the least common multiple of 5368 and 5376 is 3607296.