Least Common Multiple of 5928 and 5935

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 5935 the smallest integer that is 35182680 that is divisible by both numbers.

Least Common Multiple (LCM) of 5928 and 5935 is 35182680.

LCM(5928,5935) = 35182680

LCM of 5928 and 5935

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

LCM of:
and

Least Common Multiple of 5928 and 5935

LCM of 5928 and 5935 is 35182680

Least common multiple can be found by multiplying the highest exponent prime factors of 5928 and 5935. First we will calculate the prime factors of 5928 and 5935.

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 5935


5 5935
1187 1187
1

Prime factors of 5935 are 5,1187. Prime factorization of 5935 in exponential form is:

5935 = 51×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 5928 and 5935.

LCM(5928,5935) = 23×31×51×131×191×11871
LCM(5928,5935) = 35182680

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 5935

List of positive integer factors of 5935 that divides 5935 without a remainder.

1, 5, 1187, 5935

Least Common Multiple of 5928 and 5935 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 5935, than apply into the LCM equation.

GCF(5928,5935) = 1
LCM(5928,5935) = ( 5928 × 5935) / 1
LCM(5928,5935) = 35182680 / 1
LCM(5928,5935) = 35182680

Properties of LCM 5928 and 5935

(i) The LCM of 5935 and 5928 is associative

LCM of 5928 and 5935 = LCM of 5935 and 5928

Related Least Common Multiples of 5928

Related Least Common Multiples of 5935

Frequently Asked Questions on LCM of 5928 and 5935

1. What is the LCM of 5928 and 5935?

Answer: LCM of 5928 and 5935 is 35182680.

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 5935?

Answer: Factors of 5935 are 1, 5, 1187, 5935. There are 4 integers that are factors of 5935. The greatest factor of 5935 is 5935.

4. How to Find the LCM of 5928 and 5935?

Answer:

Least Common Multiple of 5928 and 5935 = 35182680

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 5935

5935 = 5 x 1187

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

LCM = 35182680 = 2 x 2 x 2 x 3 x 5 x 13 x 19 x 1187

Step 4: Therefore, the least common multiple of 5928 and 5935 is 35182680.