Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8063 and 8068 the smallest integer that is 65052284 that is divisible by both numbers.
Least Common Multiple (LCM) of 8063 and 8068 is 65052284.
LCM(8063,8068) = 65052284
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 8063 and 8068. First we will calculate the prime factors of 8063 and 8068.
Prime Factorization of 8063
11 | 8063 |
733 | 733 |
1 |
Prime factors of 8063 are 11,733. Prime factorization of 8063 in exponential form is:
8063 = 111×7331
Prime Factorization of 8068
2 | 8068 |
2 | 4034 |
2017 | 2017 |
1 |
Prime factors of 8068 are 2,2017. Prime factorization of 8068 in exponential form is:
8068 = 22×20171
Now multiplying the highest exponent prime factors to calculate the LCM of 8063 and 8068.
LCM(8063,8068) = 22×111×7331×20171
LCM(8063,8068) = 65052284
Factors of 8063
List of positive integer factors of 8063 that divides 8063 without a remainder.
1, 11, 733, 8063
Factors of 8068
List of positive integer factors of 8068 that divides 8068 without a remainder.
1, 2, 4, 2017, 4034, 8068
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8063 and 8068, than apply into the LCM equation.
GCF(8063,8068) = 1
LCM(8063,8068) = ( 8063 × 8068) / 1
LCM(8063,8068) = 65052284 / 1
LCM(8063,8068) = 65052284
(i) The LCM of 8068 and 8063 is associative
LCM of 8063 and 8068 = LCM of 8068 and 8063
1. What is the LCM of 8063 and 8068?
Answer: LCM of 8063 and 8068 is 65052284.
2. What are the Factors of 8063?
Answer: Factors of 8063 are 1, 11, 733, 8063. There are 4 integers that are factors of 8063. The greatest factor of 8063 is 8063.
3. What are the Factors of 8068?
Answer: Factors of 8068 are 1, 2, 4, 2017, 4034, 8068. There are 6 integers that are factors of 8068. The greatest factor of 8068 is 8068.
4. How to Find the LCM of 8063 and 8068?
Answer:
Least Common Multiple of 8063 and 8068 = 65052284
Step 1: Find the prime factorization of 8063
8063 = 11 x 733
Step 2: Find the prime factorization of 8068
8068 = 2 x 2 x 2017
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65052284 = 2 x 2 x 11 x 733 x 2017
Step 4: Therefore, the least common multiple of 8063 and 8068 is 65052284.