Least Common Multiple of 34175 and 34183
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34175 and 34183 the smallest integer that is 1168204025 that is divisible by both numbers.
Least Common Multiple (LCM) of 34175 and 34183 is 1168204025.
LCM(34175,34183) = 1168204025
LCM of 34175 and 34183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 34175 and 34183 by Prime method
- Least Common Multiple of 34175 and 34183 with GCF Formula
LCM of 34175 and 34183 is 1168204025
Least common multiple can be found by multiplying the highest exponent prime factors of 34175 and 34183. First we will calculate the prime factors of 34175 and 34183.
Prime Factorization of 34175
| 5 | 34175 |
| 5 | 6835 |
| 1367 | 1367 |
| 1 |
Prime factors of 34175 are 5,1367. Prime factorization of 34175 in exponential form is:
34175 = 52×13671
Prime Factorization of 34183
| 34183 | 34183 |
| 1 |
Prime factors of 34183 are 34183. Prime factorization of 34183 in exponential form is:
34183 = 341831
Now multiplying the highest exponent prime factors to calculate the LCM of 34175 and 34183.
LCM(34175,34183) = 52×13671×341831
LCM(34175,34183) = 1168204025
Factors of 34175
List of positive integer factors of 34175 that divides 34175 without a remainder.
1, 5, 25, 1367, 6835, 34175
Factors of 34183
List of positive integer factors of 34183 that divides 34183 without a remainder.
1, 34183
Least Common Multiple of 34175 and 34183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34175 and 34183, than apply into the LCM equation.
GCF(34175,34183) = 1
LCM(34175,34183) = ( 34175 × 34183) / 1
LCM(34175,34183) = 1168204025 / 1
LCM(34175,34183) = 1168204025
Properties of LCM 34175 and 34183
(i) The LCM of 34183 and 34175 is associative
LCM of 34175 and 34183 = LCM of 34183 and 34175
Related Least Common Multiples of 34175
Related Least Common Multiples of 34183
Frequently Asked Questions on LCM of 34175 and 34183
1. What is the LCM of 34175 and 34183?
Answer: LCM of 34175 and 34183 is 1168204025.
2. What are the Factors of 34175?
Answer: Factors of 34175 are 1, 5, 25, 1367, 6835, 34175. There are 6 integers that are factors of 34175. The greatest factor of 34175 is 34175.
3. What are the Factors of 34183?
Answer: Factors of 34183 are 1, 34183. There are 2 integers that are factors of 34183. The greatest factor of 34183 is 34183.
4. How to Find the LCM of 34175 and 34183?
Answer:
Least Common Multiple of 34175 and 34183 = 1168204025
Step 1: Find the prime factorization of 34175
34175 = 5 x 5 x 1367
Step 2: Find the prime factorization of 34183
34183 = 34183
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1168204025 = 5 x 5 x 1367 x 34183
Step 4: Therefore, the least common multiple of 34175 and 34183 is 1168204025.