Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8105 and 8111 the smallest integer that is 65739655 that is divisible by both numbers.
Least Common Multiple (LCM) of 8105 and 8111 is 65739655.
LCM(8105,8111) = 65739655
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 8105 and 8111. First we will calculate the prime factors of 8105 and 8111.
Prime Factorization of 8105
5 | 8105 |
1621 | 1621 |
1 |
Prime factors of 8105 are 5,1621. Prime factorization of 8105 in exponential form is:
8105 = 51×16211
Prime Factorization of 8111
8111 | 8111 |
1 |
Prime factors of 8111 are 8111. Prime factorization of 8111 in exponential form is:
8111 = 81111
Now multiplying the highest exponent prime factors to calculate the LCM of 8105 and 8111.
LCM(8105,8111) = 51×16211×81111
LCM(8105,8111) = 65739655
Factors of 8105
List of positive integer factors of 8105 that divides 8105 without a remainder.
1, 5, 1621, 8105
Factors of 8111
List of positive integer factors of 8111 that divides 8111 without a remainder.
1, 8111
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8105 and 8111, than apply into the LCM equation.
GCF(8105,8111) = 1
LCM(8105,8111) = ( 8105 × 8111) / 1
LCM(8105,8111) = 65739655 / 1
LCM(8105,8111) = 65739655
(i) The LCM of 8111 and 8105 is associative
LCM of 8105 and 8111 = LCM of 8111 and 8105
1. What is the LCM of 8105 and 8111?
Answer: LCM of 8105 and 8111 is 65739655.
2. What are the Factors of 8105?
Answer: Factors of 8105 are 1, 5, 1621, 8105. There are 4 integers that are factors of 8105. The greatest factor of 8105 is 8105.
3. What are the Factors of 8111?
Answer: Factors of 8111 are 1, 8111. There are 2 integers that are factors of 8111. The greatest factor of 8111 is 8111.
4. How to Find the LCM of 8105 and 8111?
Answer:
Least Common Multiple of 8105 and 8111 = 65739655
Step 1: Find the prime factorization of 8105
8105 = 5 x 1621
Step 2: Find the prime factorization of 8111
8111 = 8111
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65739655 = 5 x 1621 x 8111
Step 4: Therefore, the least common multiple of 8105 and 8111 is 65739655.