Least Common Multiple of 6928 and 6934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6928 and 6934 the smallest integer that is 24019376 that is divisible by both numbers.

Least Common Multiple (LCM) of 6928 and 6934 is 24019376.

LCM(6928,6934) = 24019376

LCM of 6928 and 6934

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

LCM of:
and

Least Common Multiple of 6928 and 6934

LCM of 6928 and 6934 is 24019376

Least common multiple can be found by multiplying the highest exponent prime factors of 6928 and 6934. First we will calculate the prime factors of 6928 and 6934.

Prime Factorization of 6928


2 6928
2 3464
2 1732
2 866
433 433
1

Prime factors of 6928 are 2,433. Prime factorization of 6928 in exponential form is:

6928 = 24×4331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6928 and 6934.

LCM(6928,6934) = 24×4331×34671
LCM(6928,6934) = 24019376

Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928

Factors of 6934

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

1, 2, 3467, 6934

Least Common Multiple of 6928 and 6934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6928 and 6934, than apply into the LCM equation.

GCF(6928,6934) = 2
LCM(6928,6934) = ( 6928 × 6934) / 2
LCM(6928,6934) = 48038752 / 2
LCM(6928,6934) = 24019376

Properties of LCM 6928 and 6934

(i) The LCM of 6934 and 6928 is associative

LCM of 6928 and 6934 = LCM of 6934 and 6928

Related Least Common Multiples of 6928

Related Least Common Multiples of 6934

Frequently Asked Questions on LCM of 6928 and 6934

1. What is the LCM of 6928 and 6934?

Answer: LCM of 6928 and 6934 is 24019376.

2. What are the Factors of 6928?

Answer: Factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928. There are 10 integers that are factors of 6928. The greatest factor of 6928 is 6928.

3. 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.

4. How to Find the LCM of 6928 and 6934?

Answer:

Least Common Multiple of 6928 and 6934 = 24019376

Step 1: Find the prime factorization of 6928

6928 = 2 x 2 x 2 x 2 x 433

Step 2: Find the prime factorization of 6934

6934 = 2 x 3467

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

LCM = 24019376 = 2 x 2 x 2 x 2 x 433 x 3467

Step 4: Therefore, the least common multiple of 6928 and 6934 is 24019376.