Least Common Multiple of 5927 and 5933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5927 and 5933 the smallest integer that is 35164891 that is divisible by both numbers.

Least Common Multiple (LCM) of 5927 and 5933 is 35164891.

LCM(5927,5933) = 35164891

LCM of 5927 and 5933

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

LCM of:
and

Least Common Multiple of 5927 and 5933

LCM of 5927 and 5933 is 35164891

Least common multiple can be found by multiplying the highest exponent prime factors of 5927 and 5933. First we will calculate the prime factors of 5927 and 5933.

Prime Factorization of 5927


5927 5927
1

Prime factors of 5927 are 5927. Prime factorization of 5927 in exponential form is:

5927 = 59271

Prime Factorization of 5933


17 5933
349 349
1

Prime factors of 5933 are 17,349. Prime factorization of 5933 in exponential form is:

5933 = 171×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 5927 and 5933.

LCM(5927,5933) = 171×3491×59271
LCM(5927,5933) = 35164891

Factors of 5927

List of positive integer factors of 5927 that divides 5927 without a remainder.

1, 5927

Factors of 5933

List of positive integer factors of 5933 that divides 5933 without a remainder.

1, 17, 349, 5933

Least Common Multiple of 5927 and 5933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5927 and 5933, than apply into the LCM equation.

GCF(5927,5933) = 1
LCM(5927,5933) = ( 5927 × 5933) / 1
LCM(5927,5933) = 35164891 / 1
LCM(5927,5933) = 35164891

Properties of LCM 5927 and 5933

(i) The LCM of 5933 and 5927 is associative

LCM of 5927 and 5933 = LCM of 5933 and 5927

Related Least Common Multiples of 5927

Related Least Common Multiples of 5933

Frequently Asked Questions on LCM of 5927 and 5933

1. What is the LCM of 5927 and 5933?

Answer: LCM of 5927 and 5933 is 35164891.

2. What are the Factors of 5927?

Answer: Factors of 5927 are 1, 5927. There are 2 integers that are factors of 5927. The greatest factor of 5927 is 5927.

3. What are the Factors of 5933?

Answer: Factors of 5933 are 1, 17, 349, 5933. There are 4 integers that are factors of 5933. The greatest factor of 5933 is 5933.

4. How to Find the LCM of 5927 and 5933?

Answer:

Least Common Multiple of 5927 and 5933 = 35164891

Step 1: Find the prime factorization of 5927

5927 = 5927

Step 2: Find the prime factorization of 5933

5933 = 17 x 349

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

LCM = 35164891 = 17 x 349 x 5927

Step 4: Therefore, the least common multiple of 5927 and 5933 is 35164891.