Least Common Multiple of 8099 and 8106
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8099 and 8106 the smallest integer that is 9378642 that is divisible by both numbers.
Least Common Multiple (LCM) of 8099 and 8106 is 9378642.
LCM(8099,8106) = 9378642
LCM of 8099 and 8106
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8099 and 8106 by Prime method
- Least Common Multiple of 8099 and 8106 with GCF Formula
LCM of 8099 and 8106 is 9378642
Least common multiple can be found by multiplying the highest exponent prime factors of 8099 and 8106. First we will calculate the prime factors of 8099 and 8106.
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
Prime Factorization of 8106
| 2 | 8106 |
| 3 | 4053 |
| 7 | 1351 |
| 193 | 193 |
| 1 |
Prime factors of 8106 are 2, 3, 7,193. Prime factorization of 8106 in exponential form is:
8106 = 21×31×71×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 8099 and 8106.
LCM(8099,8106) = 21×31×71×131×891×1931
LCM(8099,8106) = 9378642
Factors of 8099
List of positive integer factors of 8099 that divides 8099 without a remainder.
1, 7, 13, 89, 91, 623, 1157, 8099
Factors of 8106
List of positive integer factors of 8106 that divides 8106 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 193, 386, 579, 1158, 1351, 2702, 4053, 8106
Least Common Multiple of 8099 and 8106 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8099 and 8106, than apply into the LCM equation.
GCF(8099,8106) = 7
LCM(8099,8106) = ( 8099 × 8106) / 7
LCM(8099,8106) = 65650494 / 7
LCM(8099,8106) = 9378642
Properties of LCM 8099 and 8106
(i) The LCM of 8106 and 8099 is associative
LCM of 8099 and 8106 = LCM of 8106 and 8099
Related Least Common Multiples of 8099
Related Least Common Multiples of 8106
Frequently Asked Questions on LCM of 8099 and 8106
1. What is the LCM of 8099 and 8106?
Answer: LCM of 8099 and 8106 is 9378642.
2. 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.
3. What are the Factors of 8106?
Answer: Factors of 8106 are 1, 2, 3, 6, 7, 14, 21, 42, 193, 386, 579, 1158, 1351, 2702, 4053, 8106. There are 16 integers that are factors of 8106. The greatest factor of 8106 is 8106.
4. How to Find the LCM of 8099 and 8106?
Answer:
Least Common Multiple of 8099 and 8106 = 9378642
Step 1: Find the prime factorization of 8099
8099 = 7 x 13 x 89
Step 2: Find the prime factorization of 8106
8106 = 2 x 3 x 7 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9378642 = 2 x 3 x 7 x 13 x 89 x 193
Step 4: Therefore, the least common multiple of 8099 and 8106 is 9378642.