Least Common Multiple of 5931 and 5937

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 5937 the smallest integer that is 11737449 that is divisible by both numbers.

Least Common Multiple (LCM) of 5931 and 5937 is 11737449.

LCM(5931,5937) = 11737449

LCM of 5931 and 5937

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

LCM of:
and

Least Common Multiple of 5931 and 5937

LCM of 5931 and 5937 is 11737449

Least common multiple can be found by multiplying the highest exponent prime factors of 5931 and 5937. First we will calculate the prime factors of 5931 and 5937.

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 5937


3 5937
1979 1979
1

Prime factors of 5937 are 3,1979. Prime factorization of 5937 in exponential form is:

5937 = 31×19791

Now multiplying the highest exponent prime factors to calculate the LCM of 5931 and 5937.

LCM(5931,5937) = 32×6591×19791
LCM(5931,5937) = 11737449

Factors of 5931

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

1, 3, 9, 659, 1977, 5931

Factors of 5937

List of positive integer factors of 5937 that divides 5937 without a remainder.

1, 3, 1979, 5937

Least Common Multiple of 5931 and 5937 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 5937, than apply into the LCM equation.

GCF(5931,5937) = 3
LCM(5931,5937) = ( 5931 × 5937) / 3
LCM(5931,5937) = 35212347 / 3
LCM(5931,5937) = 11737449

Properties of LCM 5931 and 5937

(i) The LCM of 5937 and 5931 is associative

LCM of 5931 and 5937 = LCM of 5937 and 5931

Related Least Common Multiples of 5931

Related Least Common Multiples of 5937

Frequently Asked Questions on LCM of 5931 and 5937

1. What is the LCM of 5931 and 5937?

Answer: LCM of 5931 and 5937 is 11737449.

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 5937?

Answer: Factors of 5937 are 1, 3, 1979, 5937. There are 4 integers that are factors of 5937. The greatest factor of 5937 is 5937.

4. How to Find the LCM of 5931 and 5937?

Answer:

Least Common Multiple of 5931 and 5937 = 11737449

Step 1: Find the prime factorization of 5931

5931 = 3 x 3 x 659

Step 2: Find the prime factorization of 5937

5937 = 3 x 1979

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

LCM = 11737449 = 3 x 3 x 659 x 1979

Step 4: Therefore, the least common multiple of 5931 and 5937 is 11737449.