Least Common Multiple of 8189 and 8195
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8189 and 8195 the smallest integer that is 67108855 that is divisible by both numbers.
Least Common Multiple (LCM) of 8189 and 8195 is 67108855.
LCM(8189,8195) = 67108855
LCM of 8189 and 8195
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8189 and 8195 by Prime method
- Least Common Multiple of 8189 and 8195 with GCF Formula
LCM of 8189 and 8195 is 67108855
Least common multiple can be found by multiplying the highest exponent prime factors of 8189 and 8195. First we will calculate the prime factors of 8189 and 8195.
Prime Factorization of 8189
| 19 | 8189 |
| 431 | 431 |
| 1 |
Prime factors of 8189 are 19,431. Prime factorization of 8189 in exponential form is:
8189 = 191×4311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8189 and 8195.
LCM(8189,8195) = 51×111×191×1491×4311
LCM(8189,8195) = 67108855
Factors of 8189
List of positive integer factors of 8189 that divides 8189 without a remainder.
1, 19, 431, 8189
Factors of 8195
List of positive integer factors of 8195 that divides 8195 without a remainder.
1, 5, 11, 55, 149, 745, 1639, 8195
Least Common Multiple of 8189 and 8195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8189 and 8195, than apply into the LCM equation.
GCF(8189,8195) = 1
LCM(8189,8195) = ( 8189 × 8195) / 1
LCM(8189,8195) = 67108855 / 1
LCM(8189,8195) = 67108855
Properties of LCM 8189 and 8195
(i) The LCM of 8195 and 8189 is associative
LCM of 8189 and 8195 = LCM of 8195 and 8189
Related Least Common Multiples of 8189
Related Least Common Multiples of 8195
Frequently Asked Questions on LCM of 8189 and 8195
1. What is the LCM of 8189 and 8195?
Answer: LCM of 8189 and 8195 is 67108855.
2. What are the Factors of 8189?
Answer: Factors of 8189 are 1, 19, 431, 8189. There are 4 integers that are factors of 8189. The greatest factor of 8189 is 8189.
3. 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.
4. How to Find the LCM of 8189 and 8195?
Answer:
Least Common Multiple of 8189 and 8195 = 67108855
Step 1: Find the prime factorization of 8189
8189 = 19 x 431
Step 2: Find the prime factorization of 8195
8195 = 5 x 11 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67108855 = 5 x 11 x 19 x 149 x 431
Step 4: Therefore, the least common multiple of 8189 and 8195 is 67108855.