Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6899 and 6906 the smallest integer that is 47644494 that is divisible by both numbers.
Least Common Multiple (LCM) of 6899 and 6906 is 47644494.
LCM(6899,6906) = 47644494
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 6899 and 6906. First we will calculate the prime factors of 6899 and 6906.
Prime Factorization of 6899
6899 | 6899 |
1 |
Prime factors of 6899 are 6899. Prime factorization of 6899 in exponential form is:
6899 = 68991
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6899 and 6906.
LCM(6899,6906) = 21×31×11511×68991
LCM(6899,6906) = 47644494
Factors of 6899
List of positive integer factors of 6899 that divides 6899 without a remainder.
1, 6899
Factors of 6906
List of positive integer factors of 6906 that divides 6906 without a remainder.
1, 2, 3, 6, 1151, 2302, 3453, 6906
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6899 and 6906, than apply into the LCM equation.
GCF(6899,6906) = 1
LCM(6899,6906) = ( 6899 × 6906) / 1
LCM(6899,6906) = 47644494 / 1
LCM(6899,6906) = 47644494
(i) The LCM of 6906 and 6899 is associative
LCM of 6899 and 6906 = LCM of 6906 and 6899
1. What is the LCM of 6899 and 6906?
Answer: LCM of 6899 and 6906 is 47644494.
2. What are the Factors of 6899?
Answer: Factors of 6899 are 1, 6899. There are 2 integers that are factors of 6899. The greatest factor of 6899 is 6899.
3. 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.
4. How to Find the LCM of 6899 and 6906?
Answer:
Least Common Multiple of 6899 and 6906 = 47644494
Step 1: Find the prime factorization of 6899
6899 = 6899
Step 2: Find the prime factorization of 6906
6906 = 2 x 3 x 1151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47644494 = 2 x 3 x 1151 x 6899
Step 4: Therefore, the least common multiple of 6899 and 6906 is 47644494.