Least Common Multiple of 6934 and 6941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6934 and 6941 the smallest integer that is 48128894 that is divisible by both numbers.

Least Common Multiple (LCM) of 6934 and 6941 is 48128894.

LCM(6934,6941) = 48128894

LCM of 6934 and 6941

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

LCM of:
and

Least Common Multiple of 6934 and 6941

LCM of 6934 and 6941 is 48128894

Least common multiple can be found by multiplying the highest exponent prime factors of 6934 and 6941. First we will calculate the prime factors of 6934 and 6941.

Prime Factorization of 6934


2 6934
3467 3467
1

Prime factors of 6934 are 2,3467. Prime factorization of 6934 in exponential form is:

6934 = 21×34671

Prime Factorization of 6941


11 6941
631 631
1

Prime factors of 6941 are 11,631. Prime factorization of 6941 in exponential form is:

6941 = 111×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 6934 and 6941.

LCM(6934,6941) = 21×111×6311×34671
LCM(6934,6941) = 48128894

Factors of 6934

List of positive integer factors of 6934 that divides 6934 without a remainder.

1, 2, 3467, 6934

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1, 11, 631, 6941

Least Common Multiple of 6934 and 6941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6934 and 6941, than apply into the LCM equation.

GCF(6934,6941) = 1
LCM(6934,6941) = ( 6934 × 6941) / 1
LCM(6934,6941) = 48128894 / 1
LCM(6934,6941) = 48128894

Properties of LCM 6934 and 6941

(i) The LCM of 6941 and 6934 is associative

LCM of 6934 and 6941 = LCM of 6941 and 6934

Related Least Common Multiples of 6934

Related Least Common Multiples of 6941

Frequently Asked Questions on LCM of 6934 and 6941

1. What is the LCM of 6934 and 6941?

Answer: LCM of 6934 and 6941 is 48128894.

2. What are the Factors of 6934?

Answer: Factors of 6934 are 1, 2, 3467, 6934. There are 4 integers that are factors of 6934. The greatest factor of 6934 is 6934.

3. What are the Factors of 6941?

Answer: Factors of 6941 are 1, 11, 631, 6941. There are 4 integers that are factors of 6941. The greatest factor of 6941 is 6941.

4. How to Find the LCM of 6934 and 6941?

Answer:

Least Common Multiple of 6934 and 6941 = 48128894

Step 1: Find the prime factorization of 6934

6934 = 2 x 3467

Step 2: Find the prime factorization of 6941

6941 = 11 x 631

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

LCM = 48128894 = 2 x 11 x 631 x 3467

Step 4: Therefore, the least common multiple of 6934 and 6941 is 48128894.