Least Common Multiple of 6923 and 6928

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 6928 the smallest integer that is 47962544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6923 and 6928 is 47962544.

LCM(6923,6928) = 47962544

LCM of 6923 and 6928

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

LCM of:
and

Least Common Multiple of 6923 and 6928

LCM of 6923 and 6928 is 47962544

Least common multiple can be found by multiplying the highest exponent prime factors of 6923 and 6928. First we will calculate the prime factors of 6923 and 6928.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6923 and 6928.

LCM(6923,6928) = 24×71×231×431×4331
LCM(6923,6928) = 47962544

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 6928

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

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

Least Common Multiple of 6923 and 6928 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 6928, than apply into the LCM equation.

GCF(6923,6928) = 1
LCM(6923,6928) = ( 6923 × 6928) / 1
LCM(6923,6928) = 47962544 / 1
LCM(6923,6928) = 47962544

Properties of LCM 6923 and 6928

(i) The LCM of 6928 and 6923 is associative

LCM of 6923 and 6928 = LCM of 6928 and 6923

Related Least Common Multiples of 6923

Related Least Common Multiples of 6928

Frequently Asked Questions on LCM of 6923 and 6928

1. What is the LCM of 6923 and 6928?

Answer: LCM of 6923 and 6928 is 47962544.

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 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.

4. How to Find the LCM of 6923 and 6928?

Answer:

Least Common Multiple of 6923 and 6928 = 47962544

Step 1: Find the prime factorization of 6923

6923 = 7 x 23 x 43

Step 2: Find the prime factorization of 6928

6928 = 2 x 2 x 2 x 2 x 433

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

LCM = 47962544 = 2 x 2 x 2 x 2 x 7 x 23 x 43 x 433

Step 4: Therefore, the least common multiple of 6923 and 6928 is 47962544.