Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 68799 and 68807 the smallest integer that is 4733852793 that is divisible by both numbers.
Least Common Multiple (LCM) of 68799 and 68807 is 4733852793.
LCM(68799,68807) = 4733852793
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 68799 and 68807. First we will calculate the prime factors of 68799 and 68807.
Prime Factorization of 68799
3 | 68799 |
17 | 22933 |
19 | 1349 |
71 | 71 |
1 |
Prime factors of 68799 are 3, 17, 19,71. Prime factorization of 68799 in exponential form is:
68799 = 31×171×191×711
Prime Factorization of 68807
83 | 68807 |
829 | 829 |
1 |
Prime factors of 68807 are 83,829. Prime factorization of 68807 in exponential form is:
68807 = 831×8291
Now multiplying the highest exponent prime factors to calculate the LCM of 68799 and 68807.
LCM(68799,68807) = 31×171×191×711×831×8291
LCM(68799,68807) = 4733852793
Factors of 68799
List of positive integer factors of 68799 that divides 68799 without a remainder.
1, 3, 17, 19, 51, 57, 71, 213, 323, 969, 1207, 1349, 3621, 4047, 22933, 68799
Factors of 68807
List of positive integer factors of 68807 that divides 68807 without a remainder.
1, 83, 829, 68807
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68799 and 68807, than apply into the LCM equation.
GCF(68799,68807) = 1
LCM(68799,68807) = ( 68799 × 68807) / 1
LCM(68799,68807) = 4733852793 / 1
LCM(68799,68807) = 4733852793
(i) The LCM of 68807 and 68799 is associative
LCM of 68799 and 68807 = LCM of 68807 and 68799
1. What is the LCM of 68799 and 68807?
Answer: LCM of 68799 and 68807 is 4733852793.
2. What are the Factors of 68799?
Answer: Factors of 68799 are 1, 3, 17, 19, 51, 57, 71, 213, 323, 969, 1207, 1349, 3621, 4047, 22933, 68799. There are 16 integers that are factors of 68799. The greatest factor of 68799 is 68799.
3. What are the Factors of 68807?
Answer: Factors of 68807 are 1, 83, 829, 68807. There are 4 integers that are factors of 68807. The greatest factor of 68807 is 68807.
4. How to Find the LCM of 68799 and 68807?
Answer:
Least Common Multiple of 68799 and 68807 = 4733852793
Step 1: Find the prime factorization of 68799
68799 = 3 x 17 x 19 x 71
Step 2: Find the prime factorization of 68807
68807 = 83 x 829
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4733852793 = 3 x 17 x 19 x 71 x 83 x 829
Step 4: Therefore, the least common multiple of 68799 and 68807 is 4733852793.