Least Common Multiple of 6922 and 6929

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 6929 the smallest integer that is 47962538 that is divisible by both numbers.

Least Common Multiple (LCM) of 6922 and 6929 is 47962538.

LCM(6922,6929) = 47962538

LCM of 6922 and 6929

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

LCM of:
and

Least Common Multiple of 6922 and 6929

LCM of 6922 and 6929 is 47962538

Least common multiple can be found by multiplying the highest exponent prime factors of 6922 and 6929. First we will calculate the prime factors of 6922 and 6929.

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 6929


13 6929
13 533
41 41
1

Prime factors of 6929 are 13,41. Prime factorization of 6929 in exponential form is:

6929 = 132×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6922 and 6929.

LCM(6922,6929) = 21×132×411×34611
LCM(6922,6929) = 47962538

Factors of 6922

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

1, 2, 3461, 6922

Factors of 6929

List of positive integer factors of 6929 that divides 6929 without a remainder.

1, 13, 41, 169, 533, 6929

Least Common Multiple of 6922 and 6929 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 6929, than apply into the LCM equation.

GCF(6922,6929) = 1
LCM(6922,6929) = ( 6922 × 6929) / 1
LCM(6922,6929) = 47962538 / 1
LCM(6922,6929) = 47962538

Properties of LCM 6922 and 6929

(i) The LCM of 6929 and 6922 is associative

LCM of 6922 and 6929 = LCM of 6929 and 6922

Frequently Asked Questions on LCM of 6922 and 6929

1. What is the LCM of 6922 and 6929?

Answer: LCM of 6922 and 6929 is 47962538.

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 6929?

Answer: Factors of 6929 are 1, 13, 41, 169, 533, 6929. There are 6 integers that are factors of 6929. The greatest factor of 6929 is 6929.

4. How to Find the LCM of 6922 and 6929?

Answer:

Least Common Multiple of 6922 and 6929 = 47962538

Step 1: Find the prime factorization of 6922

6922 = 2 x 3461

Step 2: Find the prime factorization of 6929

6929 = 13 x 13 x 41

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

LCM = 47962538 = 2 x 13 x 13 x 41 x 3461

Step 4: Therefore, the least common multiple of 6922 and 6929 is 47962538.