Least Common Multiple of 8175 and 8183
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8175 and 8183 the smallest integer that is 66896025 that is divisible by both numbers.
Least Common Multiple (LCM) of 8175 and 8183 is 66896025.
LCM(8175,8183) = 66896025
LCM of 8175 and 8183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8175 and 8183 by Prime method
- Least Common Multiple of 8175 and 8183 with GCF Formula
LCM of 8175 and 8183 is 66896025
Least common multiple can be found by multiplying the highest exponent prime factors of 8175 and 8183. First we will calculate the prime factors of 8175 and 8183.
Prime Factorization of 8175
| 3 | 8175 |
| 5 | 2725 |
| 5 | 545 |
| 109 | 109 |
| 1 |
Prime factors of 8175 are 3, 5,109. Prime factorization of 8175 in exponential form is:
8175 = 31×52×1091
Prime Factorization of 8183
| 7 | 8183 |
| 7 | 1169 |
| 167 | 167 |
| 1 |
Prime factors of 8183 are 7,167. Prime factorization of 8183 in exponential form is:
8183 = 72×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 8175 and 8183.
LCM(8175,8183) = 31×52×72×1091×1671
LCM(8175,8183) = 66896025
Factors of 8175
List of positive integer factors of 8175 that divides 8175 without a remainder.
1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175
Factors of 8183
List of positive integer factors of 8183 that divides 8183 without a remainder.
1, 7, 49, 167, 1169, 8183
Least Common Multiple of 8175 and 8183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8175 and 8183, than apply into the LCM equation.
GCF(8175,8183) = 1
LCM(8175,8183) = ( 8175 × 8183) / 1
LCM(8175,8183) = 66896025 / 1
LCM(8175,8183) = 66896025
Properties of LCM 8175 and 8183
(i) The LCM of 8183 and 8175 is associative
LCM of 8175 and 8183 = LCM of 8183 and 8175
Related Least Common Multiples of 8175
Related Least Common Multiples of 8183
Frequently Asked Questions on LCM of 8175 and 8183
1. What is the LCM of 8175 and 8183?
Answer: LCM of 8175 and 8183 is 66896025.
2. What are the Factors of 8175?
Answer: Factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175. There are 12 integers that are factors of 8175. The greatest factor of 8175 is 8175.
3. What are the Factors of 8183?
Answer: Factors of 8183 are 1, 7, 49, 167, 1169, 8183. There are 6 integers that are factors of 8183. The greatest factor of 8183 is 8183.
4. How to Find the LCM of 8175 and 8183?
Answer:
Least Common Multiple of 8175 and 8183 = 66896025
Step 1: Find the prime factorization of 8175
8175 = 3 x 5 x 5 x 109
Step 2: Find the prime factorization of 8183
8183 = 7 x 7 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66896025 = 3 x 5 x 5 x 7 x 7 x 109 x 167
Step 4: Therefore, the least common multiple of 8175 and 8183 is 66896025.