Least Common Multiple of 5931 and 5938

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 5938 the smallest integer that is 35218278 that is divisible by both numbers.

Least Common Multiple (LCM) of 5931 and 5938 is 35218278.

LCM(5931,5938) = 35218278

LCM of 5931 and 5938

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

LCM of:
and

Least Common Multiple of 5931 and 5938

LCM of 5931 and 5938 is 35218278

Least common multiple can be found by multiplying the highest exponent prime factors of 5931 and 5938. First we will calculate the prime factors of 5931 and 5938.

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 5938


2 5938
2969 2969
1

Prime factors of 5938 are 2,2969. Prime factorization of 5938 in exponential form is:

5938 = 21×29691

Now multiplying the highest exponent prime factors to calculate the LCM of 5931 and 5938.

LCM(5931,5938) = 21×32×6591×29691
LCM(5931,5938) = 35218278

Factors of 5931

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

1, 3, 9, 659, 1977, 5931

Factors of 5938

List of positive integer factors of 5938 that divides 5938 without a remainder.

1, 2, 2969, 5938

Least Common Multiple of 5931 and 5938 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 5938, than apply into the LCM equation.

GCF(5931,5938) = 1
LCM(5931,5938) = ( 5931 × 5938) / 1
LCM(5931,5938) = 35218278 / 1
LCM(5931,5938) = 35218278

Properties of LCM 5931 and 5938

(i) The LCM of 5938 and 5931 is associative

LCM of 5931 and 5938 = LCM of 5938 and 5931

Related Least Common Multiples of 5931

Related Least Common Multiples of 5938

Frequently Asked Questions on LCM of 5931 and 5938

1. What is the LCM of 5931 and 5938?

Answer: LCM of 5931 and 5938 is 35218278.

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 5938?

Answer: Factors of 5938 are 1, 2, 2969, 5938. There are 4 integers that are factors of 5938. The greatest factor of 5938 is 5938.

4. How to Find the LCM of 5931 and 5938?

Answer:

Least Common Multiple of 5931 and 5938 = 35218278

Step 1: Find the prime factorization of 5931

5931 = 3 x 3 x 659

Step 2: Find the prime factorization of 5938

5938 = 2 x 2969

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

LCM = 35218278 = 2 x 3 x 3 x 659 x 2969

Step 4: Therefore, the least common multiple of 5931 and 5938 is 35218278.