Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8086 and 8090 the smallest integer that is 32707870 that is divisible by both numbers.
Least Common Multiple (LCM) of 8086 and 8090 is 32707870.
LCM(8086,8090) = 32707870
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 8086 and 8090. First we will calculate the prime factors of 8086 and 8090.
Prime Factorization of 8086
2 | 8086 |
13 | 4043 |
311 | 311 |
1 |
Prime factors of 8086 are 2, 13,311. Prime factorization of 8086 in exponential form is:
8086 = 21×131×3111
Prime Factorization of 8090
2 | 8090 |
5 | 4045 |
809 | 809 |
1 |
Prime factors of 8090 are 2, 5,809. Prime factorization of 8090 in exponential form is:
8090 = 21×51×8091
Now multiplying the highest exponent prime factors to calculate the LCM of 8086 and 8090.
LCM(8086,8090) = 21×51×131×3111×8091
LCM(8086,8090) = 32707870
Factors of 8086
List of positive integer factors of 8086 that divides 8086 without a remainder.
1, 2, 13, 26, 311, 622, 4043, 8086
Factors of 8090
List of positive integer factors of 8090 that divides 8090 without a remainder.
1, 2, 5, 10, 809, 1618, 4045, 8090
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8086 and 8090, than apply into the LCM equation.
GCF(8086,8090) = 2
LCM(8086,8090) = ( 8086 × 8090) / 2
LCM(8086,8090) = 65415740 / 2
LCM(8086,8090) = 32707870
(i) The LCM of 8090 and 8086 is associative
LCM of 8086 and 8090 = LCM of 8090 and 8086
1. What is the LCM of 8086 and 8090?
Answer: LCM of 8086 and 8090 is 32707870.
2. What are the Factors of 8086?
Answer: Factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086. There are 8 integers that are factors of 8086. The greatest factor of 8086 is 8086.
3. What are the Factors of 8090?
Answer: Factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090. There are 8 integers that are factors of 8090. The greatest factor of 8090 is 8090.
4. How to Find the LCM of 8086 and 8090?
Answer:
Least Common Multiple of 8086 and 8090 = 32707870
Step 1: Find the prime factorization of 8086
8086 = 2 x 13 x 311
Step 2: Find the prime factorization of 8090
8090 = 2 x 5 x 809
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32707870 = 2 x 5 x 13 x 311 x 809
Step 4: Therefore, the least common multiple of 8086 and 8090 is 32707870.