Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8311 and 8315 the smallest integer that is 69105965 that is divisible by both numbers.
Least Common Multiple (LCM) of 8311 and 8315 is 69105965.
LCM(8311,8315) = 69105965
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 8311 and 8315. First we will calculate the prime factors of 8311 and 8315.
Prime Factorization of 8311
8311 | 8311 |
1 |
Prime factors of 8311 are 8311. Prime factorization of 8311 in exponential form is:
8311 = 83111
Prime Factorization of 8315
5 | 8315 |
1663 | 1663 |
1 |
Prime factors of 8315 are 5,1663. Prime factorization of 8315 in exponential form is:
8315 = 51×16631
Now multiplying the highest exponent prime factors to calculate the LCM of 8311 and 8315.
LCM(8311,8315) = 51×16631×83111
LCM(8311,8315) = 69105965
Factors of 8311
List of positive integer factors of 8311 that divides 8311 without a remainder.
1, 8311
Factors of 8315
List of positive integer factors of 8315 that divides 8315 without a remainder.
1, 5, 1663, 8315
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8311 and 8315, than apply into the LCM equation.
GCF(8311,8315) = 1
LCM(8311,8315) = ( 8311 × 8315) / 1
LCM(8311,8315) = 69105965 / 1
LCM(8311,8315) = 69105965
(i) The LCM of 8315 and 8311 is associative
LCM of 8311 and 8315 = LCM of 8315 and 8311
1. What is the LCM of 8311 and 8315?
Answer: LCM of 8311 and 8315 is 69105965.
2. What are the Factors of 8311?
Answer: Factors of 8311 are 1, 8311. There are 2 integers that are factors of 8311. The greatest factor of 8311 is 8311.
3. What are the Factors of 8315?
Answer: Factors of 8315 are 1, 5, 1663, 8315. There are 4 integers that are factors of 8315. The greatest factor of 8315 is 8315.
4. How to Find the LCM of 8311 and 8315?
Answer:
Least Common Multiple of 8311 and 8315 = 69105965
Step 1: Find the prime factorization of 8311
8311 = 8311
Step 2: Find the prime factorization of 8315
8315 = 5 x 1663
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69105965 = 5 x 1663 x 8311
Step 4: Therefore, the least common multiple of 8311 and 8315 is 69105965.