Least Common Multiple of 8195 and 8199
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8195 and 8199 the smallest integer that is 67190805 that is divisible by both numbers.
Least Common Multiple (LCM) of 8195 and 8199 is 67190805.
LCM(8195,8199) = 67190805
LCM of 8195 and 8199
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8195 and 8199 by Prime method
- Least Common Multiple of 8195 and 8199 with GCF Formula
LCM of 8195 and 8199 is 67190805
Least common multiple can be found by multiplying the highest exponent prime factors of 8195 and 8199. First we will calculate the prime factors of 8195 and 8199.
Prime Factorization of 8195
| 5 | 8195 |
| 11 | 1639 |
| 149 | 149 |
| 1 |
Prime factors of 8195 are 5, 11,149. Prime factorization of 8195 in exponential form is:
8195 = 51×111×1491
Prime Factorization of 8199
| 3 | 8199 |
| 3 | 2733 |
| 911 | 911 |
| 1 |
Prime factors of 8199 are 3,911. Prime factorization of 8199 in exponential form is:
8199 = 32×9111
Now multiplying the highest exponent prime factors to calculate the LCM of 8195 and 8199.
LCM(8195,8199) = 32×51×111×1491×9111
LCM(8195,8199) = 67190805
Factors of 8195
List of positive integer factors of 8195 that divides 8195 without a remainder.
1, 5, 11, 55, 149, 745, 1639, 8195
Factors of 8199
List of positive integer factors of 8199 that divides 8199 without a remainder.
1, 3, 9, 911, 2733, 8199
Least Common Multiple of 8195 and 8199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8195 and 8199, than apply into the LCM equation.
GCF(8195,8199) = 1
LCM(8195,8199) = ( 8195 × 8199) / 1
LCM(8195,8199) = 67190805 / 1
LCM(8195,8199) = 67190805
Properties of LCM 8195 and 8199
(i) The LCM of 8199 and 8195 is associative
LCM of 8195 and 8199 = LCM of 8199 and 8195
Related Least Common Multiples of 8195
Related Least Common Multiples of 8199
Frequently Asked Questions on LCM of 8195 and 8199
1. What is the LCM of 8195 and 8199?
Answer: LCM of 8195 and 8199 is 67190805.
2. What are the Factors of 8195?
Answer: Factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195. There are 8 integers that are factors of 8195. The greatest factor of 8195 is 8195.
3. What are the Factors of 8199?
Answer: Factors of 8199 are 1, 3, 9, 911, 2733, 8199. There are 6 integers that are factors of 8199. The greatest factor of 8199 is 8199.
4. How to Find the LCM of 8195 and 8199?
Answer:
Least Common Multiple of 8195 and 8199 = 67190805
Step 1: Find the prime factorization of 8195
8195 = 5 x 11 x 149
Step 2: Find the prime factorization of 8199
8199 = 3 x 3 x 911
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67190805 = 3 x 3 x 5 x 11 x 149 x 911
Step 4: Therefore, the least common multiple of 8195 and 8199 is 67190805.