Least Common Multiple of 5924 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 5924 and 5931 the smallest integer that is 35135244 that is divisible by both numbers.

Least Common Multiple (LCM) of 5924 and 5931 is 35135244.

LCM(5924,5931) = 35135244

LCM of 5924 and 5931

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

LCM of:
and

Least Common Multiple of 5924 and 5931

LCM of 5924 and 5931 is 35135244

Least common multiple can be found by multiplying the highest exponent prime factors of 5924 and 5931. First we will calculate the prime factors of 5924 and 5931.

Prime Factorization of 5924


2 5924
2 2962
1481 1481
1

Prime factors of 5924 are 2,1481. Prime factorization of 5924 in exponential form is:

5924 = 22×14811

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 5924 and 5931.

LCM(5924,5931) = 22×32×6591×14811
LCM(5924,5931) = 35135244

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1, 2, 4, 1481, 2962, 5924

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 5924 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 5924 and 5931, than apply into the LCM equation.

GCF(5924,5931) = 1
LCM(5924,5931) = ( 5924 × 5931) / 1
LCM(5924,5931) = 35135244 / 1
LCM(5924,5931) = 35135244

Properties of LCM 5924 and 5931

(i) The LCM of 5931 and 5924 is associative

LCM of 5924 and 5931 = LCM of 5931 and 5924

Related Least Common Multiples of 5924

Related Least Common Multiples of 5931

Frequently Asked Questions on LCM of 5924 and 5931

1. What is the LCM of 5924 and 5931?

Answer: LCM of 5924 and 5931 is 35135244.

2. What are the Factors of 5924?

Answer: Factors of 5924 are 1, 2, 4, 1481, 2962, 5924. There are 6 integers that are factors of 5924. The greatest factor of 5924 is 5924.

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 5924 and 5931?

Answer:

Least Common Multiple of 5924 and 5931 = 35135244

Step 1: Find the prime factorization of 5924

5924 = 2 x 2 x 1481

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 = 35135244 = 2 x 2 x 3 x 3 x 659 x 1481

Step 4: Therefore, the least common multiple of 5924 and 5931 is 35135244.