Least Common Multiple of 6922 and 6927

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 6927 the smallest integer that is 47948694 that is divisible by both numbers.

Least Common Multiple (LCM) of 6922 and 6927 is 47948694.

LCM(6922,6927) = 47948694

LCM of 6922 and 6927

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

LCM of:
and

Least Common Multiple of 6922 and 6927

LCM of 6922 and 6927 is 47948694

Least common multiple can be found by multiplying the highest exponent prime factors of 6922 and 6927. First we will calculate the prime factors of 6922 and 6927.

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 6927


3 6927
2309 2309
1

Prime factors of 6927 are 3,2309. Prime factorization of 6927 in exponential form is:

6927 = 31×23091

Now multiplying the highest exponent prime factors to calculate the LCM of 6922 and 6927.

LCM(6922,6927) = 21×31×23091×34611
LCM(6922,6927) = 47948694

Factors of 6922

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

1, 2, 3461, 6922

Factors of 6927

List of positive integer factors of 6927 that divides 6927 without a remainder.

1, 3, 2309, 6927

Least Common Multiple of 6922 and 6927 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 6927, than apply into the LCM equation.

GCF(6922,6927) = 1
LCM(6922,6927) = ( 6922 × 6927) / 1
LCM(6922,6927) = 47948694 / 1
LCM(6922,6927) = 47948694

Properties of LCM 6922 and 6927

(i) The LCM of 6927 and 6922 is associative

LCM of 6922 and 6927 = LCM of 6927 and 6922

Related Least Common Multiples of 6922

Related Least Common Multiples of 6927

Frequently Asked Questions on LCM of 6922 and 6927

1. What is the LCM of 6922 and 6927?

Answer: LCM of 6922 and 6927 is 47948694.

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 6927?

Answer: Factors of 6927 are 1, 3, 2309, 6927. There are 4 integers that are factors of 6927. The greatest factor of 6927 is 6927.

4. How to Find the LCM of 6922 and 6927?

Answer:

Least Common Multiple of 6922 and 6927 = 47948694

Step 1: Find the prime factorization of 6922

6922 = 2 x 3461

Step 2: Find the prime factorization of 6927

6927 = 3 x 2309

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

LCM = 47948694 = 2 x 3 x 2309 x 3461

Step 4: Therefore, the least common multiple of 6922 and 6927 is 47948694.