Least Common Multiple of 6931 and 6936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6931 and 6936 the smallest integer that is 48073416 that is divisible by both numbers.

Least Common Multiple (LCM) of 6931 and 6936 is 48073416.

LCM(6931,6936) = 48073416

LCM of 6931 and 6936

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

LCM of:
and

Least Common Multiple of 6931 and 6936

LCM of 6931 and 6936 is 48073416

Least common multiple can be found by multiplying the highest exponent prime factors of 6931 and 6936. First we will calculate the prime factors of 6931 and 6936.

Prime Factorization of 6931


29 6931
239 239
1

Prime factors of 6931 are 29,239. Prime factorization of 6931 in exponential form is:

6931 = 291×2391

Prime Factorization of 6936


2 6936
2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 6936 are 2, 3,17. Prime factorization of 6936 in exponential form is:

6936 = 23×31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 6931 and 6936.

LCM(6931,6936) = 23×31×172×291×2391
LCM(6931,6936) = 48073416

Factors of 6931

List of positive integer factors of 6931 that divides 6931 without a remainder.

1, 29, 239, 6931

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936

Least Common Multiple of 6931 and 6936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6931 and 6936, than apply into the LCM equation.

GCF(6931,6936) = 1
LCM(6931,6936) = ( 6931 × 6936) / 1
LCM(6931,6936) = 48073416 / 1
LCM(6931,6936) = 48073416

Properties of LCM 6931 and 6936

(i) The LCM of 6936 and 6931 is associative

LCM of 6931 and 6936 = LCM of 6936 and 6931

Related Least Common Multiples of 6931

Related Least Common Multiples of 6936

Frequently Asked Questions on LCM of 6931 and 6936

1. What is the LCM of 6931 and 6936?

Answer: LCM of 6931 and 6936 is 48073416.

2. What are the Factors of 6931?

Answer: Factors of 6931 are 1, 29, 239, 6931. There are 4 integers that are factors of 6931. The greatest factor of 6931 is 6931.

3. What are the Factors of 6936?

Answer: Factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936. There are 24 integers that are factors of 6936. The greatest factor of 6936 is 6936.

4. How to Find the LCM of 6931 and 6936?

Answer:

Least Common Multiple of 6931 and 6936 = 48073416

Step 1: Find the prime factorization of 6931

6931 = 29 x 239

Step 2: Find the prime factorization of 6936

6936 = 2 x 2 x 2 x 3 x 17 x 17

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

LCM = 48073416 = 2 x 2 x 2 x 3 x 17 x 17 x 29 x 239

Step 4: Therefore, the least common multiple of 6931 and 6936 is 48073416.