Least Common Multiple of 8094 and 8099
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8094 and 8099 the smallest integer that is 65553306 that is divisible by both numbers.
Least Common Multiple (LCM) of 8094 and 8099 is 65553306.
LCM(8094,8099) = 65553306
LCM of 8094 and 8099
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8094 and 8099 by Prime method
- Least Common Multiple of 8094 and 8099 with GCF Formula
LCM of 8094 and 8099 is 65553306
Least common multiple can be found by multiplying the highest exponent prime factors of 8094 and 8099. First we will calculate the prime factors of 8094 and 8099.
Prime Factorization of 8094
| 2 | 8094 |
| 3 | 4047 |
| 19 | 1349 |
| 71 | 71 |
| 1 |
Prime factors of 8094 are 2, 3, 19,71. Prime factorization of 8094 in exponential form is:
8094 = 21×31×191×711
Prime Factorization of 8099
| 7 | 8099 |
| 13 | 1157 |
| 89 | 89 |
| 1 |
Prime factors of 8099 are 7, 13,89. Prime factorization of 8099 in exponential form is:
8099 = 71×131×891
Now multiplying the highest exponent prime factors to calculate the LCM of 8094 and 8099.
LCM(8094,8099) = 21×31×71×131×191×711×891
LCM(8094,8099) = 65553306
Factors of 8094
List of positive integer factors of 8094 that divides 8094 without a remainder.
1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094
Factors of 8099
List of positive integer factors of 8099 that divides 8099 without a remainder.
1, 7, 13, 89, 91, 623, 1157, 8099
Least Common Multiple of 8094 and 8099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8094 and 8099, than apply into the LCM equation.
GCF(8094,8099) = 1
LCM(8094,8099) = ( 8094 × 8099) / 1
LCM(8094,8099) = 65553306 / 1
LCM(8094,8099) = 65553306
Properties of LCM 8094 and 8099
(i) The LCM of 8099 and 8094 is associative
LCM of 8094 and 8099 = LCM of 8099 and 8094
Related Least Common Multiples of 8094
Related Least Common Multiples of 8099
Frequently Asked Questions on LCM of 8094 and 8099
1. What is the LCM of 8094 and 8099?
Answer: LCM of 8094 and 8099 is 65553306.
2. What are the Factors of 8094?
Answer: Factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094. There are 16 integers that are factors of 8094. The greatest factor of 8094 is 8094.
3. What are the Factors of 8099?
Answer: Factors of 8099 are 1, 7, 13, 89, 91, 623, 1157, 8099. There are 8 integers that are factors of 8099. The greatest factor of 8099 is 8099.
4. How to Find the LCM of 8094 and 8099?
Answer:
Least Common Multiple of 8094 and 8099 = 65553306
Step 1: Find the prime factorization of 8094
8094 = 2 x 3 x 19 x 71
Step 2: Find the prime factorization of 8099
8099 = 7 x 13 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65553306 = 2 x 3 x 7 x 13 x 19 x 71 x 89
Step 4: Therefore, the least common multiple of 8094 and 8099 is 65553306.