Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6914 and 6922 the smallest integer that is 23929354 that is divisible by both numbers.
Least Common Multiple (LCM) of 6914 and 6922 is 23929354.
LCM(6914,6922) = 23929354
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 6914 and 6922. First we will calculate the prime factors of 6914 and 6922.
Prime Factorization of 6914
2 | 6914 |
3457 | 3457 |
1 |
Prime factors of 6914 are 2,3457. Prime factorization of 6914 in exponential form is:
6914 = 21×34571
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 6914 and 6922.
LCM(6914,6922) = 21×34571×34611
LCM(6914,6922) = 23929354
Factors of 6914
List of positive integer factors of 6914 that divides 6914 without a remainder.
1, 2, 3457, 6914
Factors of 6922
List of positive integer factors of 6922 that divides 6922 without a remainder.
1, 2, 3461, 6922
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6914 and 6922, than apply into the LCM equation.
GCF(6914,6922) = 2
LCM(6914,6922) = ( 6914 × 6922) / 2
LCM(6914,6922) = 47858708 / 2
LCM(6914,6922) = 23929354
(i) The LCM of 6922 and 6914 is associative
LCM of 6914 and 6922 = LCM of 6922 and 6914
1. What is the LCM of 6914 and 6922?
Answer: LCM of 6914 and 6922 is 23929354.
2. What are the Factors of 6914?
Answer: Factors of 6914 are 1, 2, 3457, 6914. There are 4 integers that are factors of 6914. The greatest factor of 6914 is 6914.
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 6914 and 6922?
Answer:
Least Common Multiple of 6914 and 6922 = 23929354
Step 1: Find the prime factorization of 6914
6914 = 2 x 3457
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 = 23929354 = 2 x 3457 x 3461
Step 4: Therefore, the least common multiple of 6914 and 6922 is 23929354.