Least Common Multiple of 6926 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 6926 and 6934 the smallest integer that is 24012442 that is divisible by both numbers.

Least Common Multiple (LCM) of 6926 and 6934 is 24012442.

LCM(6926,6934) = 24012442

LCM of 6926 and 6934

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

LCM of:
and

Least Common Multiple of 6926 and 6934

LCM of 6926 and 6934 is 24012442

Least common multiple can be found by multiplying the highest exponent prime factors of 6926 and 6934. First we will calculate the prime factors of 6926 and 6934.

Prime Factorization of 6926


2 6926
3463 3463
1

Prime factors of 6926 are 2,3463. Prime factorization of 6926 in exponential form is:

6926 = 21×34631

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 6926 and 6934.

LCM(6926,6934) = 21×34631×34671
LCM(6926,6934) = 24012442

Factors of 6926

List of positive integer factors of 6926 that divides 6926 without a remainder.

1, 2, 3463, 6926

Factors of 6934

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

1, 2, 3467, 6934

Least Common Multiple of 6926 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 6926 and 6934, than apply into the LCM equation.

GCF(6926,6934) = 2
LCM(6926,6934) = ( 6926 × 6934) / 2
LCM(6926,6934) = 48024884 / 2
LCM(6926,6934) = 24012442

Properties of LCM 6926 and 6934

(i) The LCM of 6934 and 6926 is associative

LCM of 6926 and 6934 = LCM of 6934 and 6926

Related Least Common Multiples of 6926

Related Least Common Multiples of 6934

Frequently Asked Questions on LCM of 6926 and 6934

1. What is the LCM of 6926 and 6934?

Answer: LCM of 6926 and 6934 is 24012442.

2. What are the Factors of 6926?

Answer: Factors of 6926 are 1, 2, 3463, 6926. There are 4 integers that are factors of 6926. The greatest factor of 6926 is 6926.

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 6926 and 6934?

Answer:

Least Common Multiple of 6926 and 6934 = 24012442

Step 1: Find the prime factorization of 6926

6926 = 2 x 3463

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 = 24012442 = 2 x 3463 x 3467

Step 4: Therefore, the least common multiple of 6926 and 6934 is 24012442.