Least Common Multiple of 5931 and 5939

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 5939 the smallest integer that is 35224209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5931 and 5939 is 35224209.

LCM(5931,5939) = 35224209

LCM of 5931 and 5939

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

LCM of:
and

Least Common Multiple of 5931 and 5939

LCM of 5931 and 5939 is 35224209

Least common multiple can be found by multiplying the highest exponent prime factors of 5931 and 5939. First we will calculate the prime factors of 5931 and 5939.

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 5939


5939 5939
1

Prime factors of 5939 are 5939. Prime factorization of 5939 in exponential form is:

5939 = 59391

Now multiplying the highest exponent prime factors to calculate the LCM of 5931 and 5939.

LCM(5931,5939) = 32×6591×59391
LCM(5931,5939) = 35224209

Factors of 5931

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

1, 3, 9, 659, 1977, 5931

Factors of 5939

List of positive integer factors of 5939 that divides 5939 without a remainder.

1, 5939

Least Common Multiple of 5931 and 5939 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 5939, than apply into the LCM equation.

GCF(5931,5939) = 1
LCM(5931,5939) = ( 5931 × 5939) / 1
LCM(5931,5939) = 35224209 / 1
LCM(5931,5939) = 35224209

Properties of LCM 5931 and 5939

(i) The LCM of 5939 and 5931 is associative

LCM of 5931 and 5939 = LCM of 5939 and 5931

Related Least Common Multiples of 5931

Related Least Common Multiples of 5939

Frequently Asked Questions on LCM of 5931 and 5939

1. What is the LCM of 5931 and 5939?

Answer: LCM of 5931 and 5939 is 35224209.

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 5939?

Answer: Factors of 5939 are 1, 5939. There are 2 integers that are factors of 5939. The greatest factor of 5939 is 5939.

4. How to Find the LCM of 5931 and 5939?

Answer:

Least Common Multiple of 5931 and 5939 = 35224209

Step 1: Find the prime factorization of 5931

5931 = 3 x 3 x 659

Step 2: Find the prime factorization of 5939

5939 = 5939

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

LCM = 35224209 = 3 x 3 x 659 x 5939

Step 4: Therefore, the least common multiple of 5931 and 5939 is 35224209.