Least Common Multiple of 6922 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 6922 and 6928 the smallest integer that is 23977808 that is divisible by both numbers.

Least Common Multiple (LCM) of 6922 and 6928 is 23977808.

LCM(6922,6928) = 23977808

LCM of 6922 and 6928

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

LCM of:
and

Least Common Multiple of 6922 and 6928

LCM of 6922 and 6928 is 23977808

Least common multiple can be found by multiplying the highest exponent prime factors of 6922 and 6928. First we will calculate the prime factors of 6922 and 6928.

Prime Factorization of 6922


2 6922
3461 3461
1

Prime factors of 6922 are 2,3461. Prime factorization of 6922 in exponential form is:

6922 = 21×34611

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 6922 and 6928.

LCM(6922,6928) = 24×4331×34611
LCM(6922,6928) = 23977808

Factors of 6922

List of positive integer factors of 6922 that divides 6922 without a remainder.

1, 2, 3461, 6922

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 6922 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 6922 and 6928, than apply into the LCM equation.

GCF(6922,6928) = 2
LCM(6922,6928) = ( 6922 × 6928) / 2
LCM(6922,6928) = 47955616 / 2
LCM(6922,6928) = 23977808

Properties of LCM 6922 and 6928

(i) The LCM of 6928 and 6922 is associative

LCM of 6922 and 6928 = LCM of 6928 and 6922

Related Least Common Multiples of 6922

Related Least Common Multiples of 6928

Frequently Asked Questions on LCM of 6922 and 6928

1. What is the LCM of 6922 and 6928?

Answer: LCM of 6922 and 6928 is 23977808.

2. What are the Factors of 6922?

Answer: Factors of 6922 are 1, 2, 3461, 6922. There are 4 integers that are factors of 6922. The greatest factor of 6922 is 6922.

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 6922 and 6928?

Answer:

Least Common Multiple of 6922 and 6928 = 23977808

Step 1: Find the prime factorization of 6922

6922 = 2 x 3461

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 = 23977808 = 2 x 2 x 2 x 2 x 433 x 3461

Step 4: Therefore, the least common multiple of 6922 and 6928 is 23977808.