Least Common Multiple of 8299 and 8305
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8299 and 8305 the smallest integer that is 68923195 that is divisible by both numbers.
Least Common Multiple (LCM) of 8299 and 8305 is 68923195.
LCM(8299,8305) = 68923195
LCM of 8299 and 8305
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8299 and 8305 by Prime method
- Least Common Multiple of 8299 and 8305 with GCF Formula
LCM of 8299 and 8305 is 68923195
Least common multiple can be found by multiplying the highest exponent prime factors of 8299 and 8305. First we will calculate the prime factors of 8299 and 8305.
Prime Factorization of 8299
| 43 | 8299 |
| 193 | 193 |
| 1 |
Prime factors of 8299 are 43,193. Prime factorization of 8299 in exponential form is:
8299 = 431×1931
Prime Factorization of 8305
| 5 | 8305 |
| 11 | 1661 |
| 151 | 151 |
| 1 |
Prime factors of 8305 are 5, 11,151. Prime factorization of 8305 in exponential form is:
8305 = 51×111×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 8299 and 8305.
LCM(8299,8305) = 51×111×431×1511×1931
LCM(8299,8305) = 68923195
Factors of 8299
List of positive integer factors of 8299 that divides 8299 without a remainder.
1, 43, 193, 8299
Factors of 8305
List of positive integer factors of 8305 that divides 8305 without a remainder.
1, 5, 11, 55, 151, 755, 1661, 8305
Least Common Multiple of 8299 and 8305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8299 and 8305, than apply into the LCM equation.
GCF(8299,8305) = 1
LCM(8299,8305) = ( 8299 × 8305) / 1
LCM(8299,8305) = 68923195 / 1
LCM(8299,8305) = 68923195
Properties of LCM 8299 and 8305
(i) The LCM of 8305 and 8299 is associative
LCM of 8299 and 8305 = LCM of 8305 and 8299
Related Least Common Multiples of 8299
Related Least Common Multiples of 8305
Frequently Asked Questions on LCM of 8299 and 8305
1. What is the LCM of 8299 and 8305?
Answer: LCM of 8299 and 8305 is 68923195.
2. What are the Factors of 8299?
Answer: Factors of 8299 are 1, 43, 193, 8299. There are 4 integers that are factors of 8299. The greatest factor of 8299 is 8299.
3. What are the Factors of 8305?
Answer: Factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305. There are 8 integers that are factors of 8305. The greatest factor of 8305 is 8305.
4. How to Find the LCM of 8299 and 8305?
Answer:
Least Common Multiple of 8299 and 8305 = 68923195
Step 1: Find the prime factorization of 8299
8299 = 43 x 193
Step 2: Find the prime factorization of 8305
8305 = 5 x 11 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68923195 = 5 x 11 x 43 x 151 x 193
Step 4: Therefore, the least common multiple of 8299 and 8305 is 68923195.