Least Common Multiple of 8090 and 8091
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8090 and 8091 the smallest integer that is 65456190 that is divisible by both numbers.
Least Common Multiple (LCM) of 8090 and 8091 is 65456190.
LCM(8090,8091) = 65456190
LCM of 8090 and 8091
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8090 and 8091 by Prime method
- Least Common Multiple of 8090 and 8091 with GCF Formula
LCM of 8090 and 8091 is 65456190
Least common multiple can be found by multiplying the highest exponent prime factors of 8090 and 8091. First we will calculate the prime factors of 8090 and 8091.
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
Prime Factorization of 8091
| 3 | 8091 |
| 3 | 2697 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 8091 are 3, 29,31. Prime factorization of 8091 in exponential form is:
8091 = 32×291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 8090 and 8091.
LCM(8090,8091) = 21×32×51×291×311×8091
LCM(8090,8091) = 65456190
Factors of 8090
List of positive integer factors of 8090 that divides 8090 without a remainder.
1, 2, 5, 10, 809, 1618, 4045, 8090
Factors of 8091
List of positive integer factors of 8091 that divides 8091 without a remainder.
1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697, 8091
Least Common Multiple of 8090 and 8091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8090 and 8091, than apply into the LCM equation.
GCF(8090,8091) = 1
LCM(8090,8091) = ( 8090 × 8091) / 1
LCM(8090,8091) = 65456190 / 1
LCM(8090,8091) = 65456190
Properties of LCM 8090 and 8091
(i) The LCM of 8091 and 8090 is associative
LCM of 8090 and 8091 = LCM of 8091 and 8090
Related Least Common Multiples of 8090
Related Least Common Multiples of 8091
Frequently Asked Questions on LCM of 8090 and 8091
1. What is the LCM of 8090 and 8091?
Answer: LCM of 8090 and 8091 is 65456190.
2. 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.
3. What are the Factors of 8091?
Answer: Factors of 8091 are 1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697, 8091. There are 12 integers that are factors of 8091. The greatest factor of 8091 is 8091.
4. How to Find the LCM of 8090 and 8091?
Answer:
Least Common Multiple of 8090 and 8091 = 65456190
Step 1: Find the prime factorization of 8090
8090 = 2 x 5 x 809
Step 2: Find the prime factorization of 8091
8091 = 3 x 3 x 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65456190 = 2 x 3 x 3 x 5 x 29 x 31 x 809
Step 4: Therefore, the least common multiple of 8090 and 8091 is 65456190.
