Least Common Multiple of 5931 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 5931 and 5935 the smallest integer that is 35200485 that is divisible by both numbers.

Least Common Multiple (LCM) of 5931 and 5935 is 35200485.

LCM(5931,5935) = 35200485

LCM of 5931 and 5935

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

LCM of:
and

Least Common Multiple of 5931 and 5935

LCM of 5931 and 5935 is 35200485

Least common multiple can be found by multiplying the highest exponent prime factors of 5931 and 5935. First we will calculate the prime factors of 5931 and 5935.

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 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 5931 and 5935.

LCM(5931,5935) = 32×51×6591×11871
LCM(5931,5935) = 35200485

Factors of 5931

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

1, 3, 9, 659, 1977, 5931

Factors of 5935

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

1, 5, 1187, 5935

Least Common Multiple of 5931 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 5931 and 5935, than apply into the LCM equation.

GCF(5931,5935) = 1
LCM(5931,5935) = ( 5931 × 5935) / 1
LCM(5931,5935) = 35200485 / 1
LCM(5931,5935) = 35200485

Properties of LCM 5931 and 5935

(i) The LCM of 5935 and 5931 is associative

LCM of 5931 and 5935 = LCM of 5935 and 5931

Related Least Common Multiples of 5931

Related Least Common Multiples of 5935

Frequently Asked Questions on LCM of 5931 and 5935

1. What is the LCM of 5931 and 5935?

Answer: LCM of 5931 and 5935 is 35200485.

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 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 5931 and 5935?

Answer:

Least Common Multiple of 5931 and 5935 = 35200485

Step 1: Find the prime factorization of 5931

5931 = 3 x 3 x 659

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 = 35200485 = 3 x 3 x 5 x 659 x 1187

Step 4: Therefore, the least common multiple of 5931 and 5935 is 35200485.