Least Common Multiple of 5926 and 5931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5926 and 5931 the smallest integer that is 35147106 that is divisible by both numbers.

Least Common Multiple (LCM) of 5926 and 5931 is 35147106.

LCM(5926,5931) = 35147106

LCM of 5926 and 5931

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

LCM of:
and

Least Common Multiple of 5926 and 5931

LCM of 5926 and 5931 is 35147106

Least common multiple can be found by multiplying the highest exponent prime factors of 5926 and 5931. First we will calculate the prime factors of 5926 and 5931.

Prime Factorization of 5926


2 5926
2963 2963
1

Prime factors of 5926 are 2,2963. Prime factorization of 5926 in exponential form is:

5926 = 21×29631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5926 and 5931.

LCM(5926,5931) = 21×32×6591×29631
LCM(5926,5931) = 35147106

Factors of 5926

List of positive integer factors of 5926 that divides 5926 without a remainder.

1, 2, 2963, 5926

Factors of 5931

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

1, 3, 9, 659, 1977, 5931

Least Common Multiple of 5926 and 5931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5926 and 5931, than apply into the LCM equation.

GCF(5926,5931) = 1
LCM(5926,5931) = ( 5926 × 5931) / 1
LCM(5926,5931) = 35147106 / 1
LCM(5926,5931) = 35147106

Properties of LCM 5926 and 5931

(i) The LCM of 5931 and 5926 is associative

LCM of 5926 and 5931 = LCM of 5931 and 5926

Related Least Common Multiples of 5926

Related Least Common Multiples of 5931

Frequently Asked Questions on LCM of 5926 and 5931

1. What is the LCM of 5926 and 5931?

Answer: LCM of 5926 and 5931 is 35147106.

2. What are the Factors of 5926?

Answer: Factors of 5926 are 1, 2, 2963, 5926. There are 4 integers that are factors of 5926. The greatest factor of 5926 is 5926.

3. 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.

4. How to Find the LCM of 5926 and 5931?

Answer:

Least Common Multiple of 5926 and 5931 = 35147106

Step 1: Find the prime factorization of 5926

5926 = 2 x 2963

Step 2: Find the prime factorization of 5931

5931 = 3 x 3 x 659

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

LCM = 35147106 = 2 x 3 x 3 x 659 x 2963

Step 4: Therefore, the least common multiple of 5926 and 5931 is 35147106.