Least Common Multiple of 6916 and 6922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6916 and 6922 the smallest integer that is 23936276 that is divisible by both numbers.

Least Common Multiple (LCM) of 6916 and 6922 is 23936276.

LCM(6916,6922) = 23936276

LCM of 6916 and 6922

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

LCM of:
and

Least Common Multiple of 6916 and 6922

LCM of 6916 and 6922 is 23936276

Least common multiple can be found by multiplying the highest exponent prime factors of 6916 and 6922. First we will calculate the prime factors of 6916 and 6922.

Prime Factorization of 6916


2 6916
2 3458
7 1729
13 247
19 19
1

Prime factors of 6916 are 2, 7, 13,19. Prime factorization of 6916 in exponential form is:

6916 = 22×71×131×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6916 and 6922.

LCM(6916,6922) = 22×71×131×191×34611
LCM(6916,6922) = 23936276

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916

Factors of 6922

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

1, 2, 3461, 6922

Least Common Multiple of 6916 and 6922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6916 and 6922, than apply into the LCM equation.

GCF(6916,6922) = 2
LCM(6916,6922) = ( 6916 × 6922) / 2
LCM(6916,6922) = 47872552 / 2
LCM(6916,6922) = 23936276

Properties of LCM 6916 and 6922

(i) The LCM of 6922 and 6916 is associative

LCM of 6916 and 6922 = LCM of 6922 and 6916

Related Least Common Multiples of 6916

Related Least Common Multiples of 6922

Frequently Asked Questions on LCM of 6916 and 6922

1. What is the LCM of 6916 and 6922?

Answer: LCM of 6916 and 6922 is 23936276.

2. What are the Factors of 6916?

Answer: Factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916. There are 24 integers that are factors of 6916. The greatest factor of 6916 is 6916.

3. 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.

4. How to Find the LCM of 6916 and 6922?

Answer:

Least Common Multiple of 6916 and 6922 = 23936276

Step 1: Find the prime factorization of 6916

6916 = 2 x 2 x 7 x 13 x 19

Step 2: Find the prime factorization of 6922

6922 = 2 x 3461

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

LCM = 23936276 = 2 x 2 x 7 x 13 x 19 x 3461

Step 4: Therefore, the least common multiple of 6916 and 6922 is 23936276.