Least Common Multiple of 6922 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 6922 and 6926 the smallest integer that is 23970886 that is divisible by both numbers.

Least Common Multiple (LCM) of 6922 and 6926 is 23970886.

LCM(6922,6926) = 23970886

LCM of 6922 and 6926

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

LCM of:
and

Least Common Multiple of 6922 and 6926

LCM of 6922 and 6926 is 23970886

Least common multiple can be found by multiplying the highest exponent prime factors of 6922 and 6926. First we will calculate the prime factors of 6922 and 6926.

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 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 6922 and 6926.

LCM(6922,6926) = 21×34611×34631
LCM(6922,6926) = 23970886

Factors of 6922

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

1, 2, 3461, 6922

Factors of 6926

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

1, 2, 3463, 6926

Least Common Multiple of 6922 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 6922 and 6926, than apply into the LCM equation.

GCF(6922,6926) = 2
LCM(6922,6926) = ( 6922 × 6926) / 2
LCM(6922,6926) = 47941772 / 2
LCM(6922,6926) = 23970886

Properties of LCM 6922 and 6926

(i) The LCM of 6926 and 6922 is associative

LCM of 6922 and 6926 = LCM of 6926 and 6922

Frequently Asked Questions on LCM of 6922 and 6926

1. What is the LCM of 6922 and 6926?

Answer: LCM of 6922 and 6926 is 23970886.

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 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 6922 and 6926?

Answer:

Least Common Multiple of 6922 and 6926 = 23970886

Step 1: Find the prime factorization of 6922

6922 = 2 x 3461

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 = 23970886 = 2 x 3461 x 3463

Step 4: Therefore, the least common multiple of 6922 and 6926 is 23970886.