Least Common Multiple of 5928 and 5936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5928 and 5936 the smallest integer that is 4398576 that is divisible by both numbers.

Least Common Multiple (LCM) of 5928 and 5936 is 4398576.

LCM(5928,5936) = 4398576

LCM of 5928 and 5936

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

LCM of:
and

Least Common Multiple of 5928 and 5936

LCM of 5928 and 5936 is 4398576

Least common multiple can be found by multiplying the highest exponent prime factors of 5928 and 5936. First we will calculate the prime factors of 5928 and 5936.

Prime Factorization of 5928


2 5928
2 2964
2 1482
3 741
13 247
19 19
1

Prime factors of 5928 are 2, 3, 13,19. Prime factorization of 5928 in exponential form is:

5928 = 23×31×131×191

Prime Factorization of 5936


2 5936
2 2968
2 1484
2 742
7 371
53 53
1

Prime factors of 5936 are 2, 7,53. Prime factorization of 5936 in exponential form is:

5936 = 24×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5928 and 5936.

LCM(5928,5936) = 24×31×71×131×191×531
LCM(5928,5936) = 4398576

Factors of 5928

List of positive integer factors of 5928 that divides 5928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928

Factors of 5936

List of positive integer factors of 5936 that divides 5936 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936

Least Common Multiple of 5928 and 5936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5928 and 5936, than apply into the LCM equation.

GCF(5928,5936) = 8
LCM(5928,5936) = ( 5928 × 5936) / 8
LCM(5928,5936) = 35188608 / 8
LCM(5928,5936) = 4398576

Properties of LCM 5928 and 5936

(i) The LCM of 5936 and 5928 is associative

LCM of 5928 and 5936 = LCM of 5936 and 5928

Related Least Common Multiples of 5928

Related Least Common Multiples of 5936

Frequently Asked Questions on LCM of 5928 and 5936

1. What is the LCM of 5928 and 5936?

Answer: LCM of 5928 and 5936 is 4398576.

2. What are the Factors of 5928?

Answer: Factors of 5928 are 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928. There are 32 integers that are factors of 5928. The greatest factor of 5928 is 5928.

3. What are the Factors of 5936?

Answer: Factors of 5936 are 1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936. There are 20 integers that are factors of 5936. The greatest factor of 5936 is 5936.

4. How to Find the LCM of 5928 and 5936?

Answer:

Least Common Multiple of 5928 and 5936 = 4398576

Step 1: Find the prime factorization of 5928

5928 = 2 x 2 x 2 x 3 x 13 x 19

Step 2: Find the prime factorization of 5936

5936 = 2 x 2 x 2 x 2 x 7 x 53

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

LCM = 4398576 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 19 x 53

Step 4: Therefore, the least common multiple of 5928 and 5936 is 4398576.