Least Common Multiple of 6923 and 6926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6923 and 6926 the smallest integer that is 47948698 that is divisible by both numbers.

Least Common Multiple (LCM) of 6923 and 6926 is 47948698.

LCM(6923,6926) = 47948698

LCM of 6923 and 6926

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

LCM of:
and

Least Common Multiple of 6923 and 6926

LCM of 6923 and 6926 is 47948698

Least common multiple can be found by multiplying the highest exponent prime factors of 6923 and 6926. First we will calculate the prime factors of 6923 and 6926.

Prime Factorization of 6923


7 6923
23 989
43 43
1

Prime factors of 6923 are 7, 23,43. Prime factorization of 6923 in exponential form is:

6923 = 71×231×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6923 and 6926.

LCM(6923,6926) = 21×71×231×431×34631
LCM(6923,6926) = 47948698

Factors of 6923

List of positive integer factors of 6923 that divides 6923 without a remainder.

1, 7, 23, 43, 161, 301, 989, 6923

Factors of 6926

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

1, 2, 3463, 6926

Least Common Multiple of 6923 and 6926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6923 and 6926, than apply into the LCM equation.

GCF(6923,6926) = 1
LCM(6923,6926) = ( 6923 × 6926) / 1
LCM(6923,6926) = 47948698 / 1
LCM(6923,6926) = 47948698

Properties of LCM 6923 and 6926

(i) The LCM of 6926 and 6923 is associative

LCM of 6923 and 6926 = LCM of 6926 and 6923

Related Least Common Multiples of 6923

Related Least Common Multiples of 6926

Frequently Asked Questions on LCM of 6923 and 6926

1. What is the LCM of 6923 and 6926?

Answer: LCM of 6923 and 6926 is 47948698.

2. What are the Factors of 6923?

Answer: Factors of 6923 are 1, 7, 23, 43, 161, 301, 989, 6923. There are 8 integers that are factors of 6923. The greatest factor of 6923 is 6923.

3. 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.

4. How to Find the LCM of 6923 and 6926?

Answer:

Least Common Multiple of 6923 and 6926 = 47948698

Step 1: Find the prime factorization of 6923

6923 = 7 x 23 x 43

Step 2: Find the prime factorization of 6926

6926 = 2 x 3463

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

LCM = 47948698 = 2 x 7 x 23 x 43 x 3463

Step 4: Therefore, the least common multiple of 6923 and 6926 is 47948698.