Least Common Multiple of 34193 and 34201
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34193 and 34201 the smallest integer that is 1169434793 that is divisible by both numbers.
Least Common Multiple (LCM) of 34193 and 34201 is 1169434793.
LCM(34193,34201) = 1169434793
LCM of 34193 and 34201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 34193 and 34201 by Prime method
- Least Common Multiple of 34193 and 34201 with GCF Formula
LCM of 34193 and 34201 is 1169434793
Least common multiple can be found by multiplying the highest exponent prime factors of 34193 and 34201. First we will calculate the prime factors of 34193 and 34201.
Prime Factorization of 34193
| 31 | 34193 |
| 1103 | 1103 |
| 1 |
Prime factors of 34193 are 31,1103. Prime factorization of 34193 in exponential form is:
34193 = 311×11031
Prime Factorization of 34201
| 23 | 34201 |
| 1487 | 1487 |
| 1 |
Prime factors of 34201 are 23,1487. Prime factorization of 34201 in exponential form is:
34201 = 231×14871
Now multiplying the highest exponent prime factors to calculate the LCM of 34193 and 34201.
LCM(34193,34201) = 231×311×11031×14871
LCM(34193,34201) = 1169434793
Factors of 34193
List of positive integer factors of 34193 that divides 34193 without a remainder.
1, 31, 1103, 34193
Factors of 34201
List of positive integer factors of 34201 that divides 34201 without a remainder.
1, 23, 1487, 34201
Least Common Multiple of 34193 and 34201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34193 and 34201, than apply into the LCM equation.
GCF(34193,34201) = 1
LCM(34193,34201) = ( 34193 × 34201) / 1
LCM(34193,34201) = 1169434793 / 1
LCM(34193,34201) = 1169434793
Properties of LCM 34193 and 34201
(i) The LCM of 34201 and 34193 is associative
LCM of 34193 and 34201 = LCM of 34201 and 34193
Related Least Common Multiples of 34193
Related Least Common Multiples of 34201
Frequently Asked Questions on LCM of 34193 and 34201
1. What is the LCM of 34193 and 34201?
Answer: LCM of 34193 and 34201 is 1169434793.
2. What are the Factors of 34193?
Answer: Factors of 34193 are 1, 31, 1103, 34193. There are 4 integers that are factors of 34193. The greatest factor of 34193 is 34193.
3. What are the Factors of 34201?
Answer: Factors of 34201 are 1, 23, 1487, 34201. There are 4 integers that are factors of 34201. The greatest factor of 34201 is 34201.
4. How to Find the LCM of 34193 and 34201?
Answer:
Least Common Multiple of 34193 and 34201 = 1169434793
Step 1: Find the prime factorization of 34193
34193 = 31 x 1103
Step 2: Find the prime factorization of 34201
34201 = 23 x 1487
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1169434793 = 23 x 31 x 1103 x 1487
Step 4: Therefore, the least common multiple of 34193 and 34201 is 1169434793.