Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6906 and 6911 the smallest integer that is 47727366 that is divisible by both numbers.
Least Common Multiple (LCM) of 6906 and 6911 is 47727366.
LCM(6906,6911) = 47727366
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 6906 and 6911. First we will calculate the prime factors of 6906 and 6911.
Prime Factorization of 6906
2 | 6906 |
3 | 3453 |
1151 | 1151 |
1 |
Prime factors of 6906 are 2, 3,1151. Prime factorization of 6906 in exponential form is:
6906 = 21×31×11511
Prime Factorization of 6911
6911 | 6911 |
1 |
Prime factors of 6911 are 6911. Prime factorization of 6911 in exponential form is:
6911 = 69111
Now multiplying the highest exponent prime factors to calculate the LCM of 6906 and 6911.
LCM(6906,6911) = 21×31×11511×69111
LCM(6906,6911) = 47727366
Factors of 6906
List of positive integer factors of 6906 that divides 6906 without a remainder.
1, 2, 3, 6, 1151, 2302, 3453, 6906
Factors of 6911
List of positive integer factors of 6911 that divides 6911 without a remainder.
1, 6911
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6906 and 6911, than apply into the LCM equation.
GCF(6906,6911) = 1
LCM(6906,6911) = ( 6906 × 6911) / 1
LCM(6906,6911) = 47727366 / 1
LCM(6906,6911) = 47727366
(i) The LCM of 6911 and 6906 is associative
LCM of 6906 and 6911 = LCM of 6911 and 6906
1. What is the LCM of 6906 and 6911?
Answer: LCM of 6906 and 6911 is 47727366.
2. What are the Factors of 6906?
Answer: Factors of 6906 are 1, 2, 3, 6, 1151, 2302, 3453, 6906. There are 8 integers that are factors of 6906. The greatest factor of 6906 is 6906.
3. What are the Factors of 6911?
Answer: Factors of 6911 are 1, 6911. There are 2 integers that are factors of 6911. The greatest factor of 6911 is 6911.
4. How to Find the LCM of 6906 and 6911?
Answer:
Least Common Multiple of 6906 and 6911 = 47727366
Step 1: Find the prime factorization of 6906
6906 = 2 x 3 x 1151
Step 2: Find the prime factorization of 6911
6911 = 6911
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47727366 = 2 x 3 x 1151 x 6911
Step 4: Therefore, the least common multiple of 6906 and 6911 is 47727366.