Least Common Multiple of 5931 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 5931 and 5936 the smallest integer that is 35206416 that is divisible by both numbers.

Least Common Multiple (LCM) of 5931 and 5936 is 35206416.

LCM(5931,5936) = 35206416

LCM of 5931 and 5936

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

LCM of:
and

Least Common Multiple of 5931 and 5936

LCM of 5931 and 5936 is 35206416

Least common multiple can be found by multiplying the highest exponent prime factors of 5931 and 5936. First we will calculate the prime factors of 5931 and 5936.

Prime Factorization of 5931


3 5931
3 1977
659 659
1

Prime factors of 5931 are 3,659. Prime factorization of 5931 in exponential form is:

5931 = 32×6591

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 5931 and 5936.

LCM(5931,5936) = 24×32×71×531×6591
LCM(5931,5936) = 35206416

Factors of 5931

List of positive integer factors of 5931 that divides 5931 without a remainder.

1, 3, 9, 659, 1977, 5931

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 5931 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 5931 and 5936, than apply into the LCM equation.

GCF(5931,5936) = 1
LCM(5931,5936) = ( 5931 × 5936) / 1
LCM(5931,5936) = 35206416 / 1
LCM(5931,5936) = 35206416

Properties of LCM 5931 and 5936

(i) The LCM of 5936 and 5931 is associative

LCM of 5931 and 5936 = LCM of 5936 and 5931

Related Least Common Multiples of 5931

Related Least Common Multiples of 5936

Frequently Asked Questions on LCM of 5931 and 5936

1. What is the LCM of 5931 and 5936?

Answer: LCM of 5931 and 5936 is 35206416.

2. What are the Factors of 5931?

Answer: Factors of 5931 are 1, 3, 9, 659, 1977, 5931. There are 6 integers that are factors of 5931. The greatest factor of 5931 is 5931.

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 5931 and 5936?

Answer:

Least Common Multiple of 5931 and 5936 = 35206416

Step 1: Find the prime factorization of 5931

5931 = 3 x 3 x 659

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 = 35206416 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 53 x 659

Step 4: Therefore, the least common multiple of 5931 and 5936 is 35206416.