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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 6926 and 6922 is associative
LCM of 6922 and 6926 = LCM of 6926 and 6922
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.