Least Common Multiple of 3193 and 3201
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3193 and 3201 the smallest integer that is 10220793 that is divisible by both numbers.
Least Common Multiple (LCM) of 3193 and 3201 is 10220793.
LCM(3193,3201) = 10220793
LCM of 3193 and 3201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3193 and 3201 by Prime method
- Least Common Multiple of 3193 and 3201 with GCF Formula
LCM of 3193 and 3201 is 10220793
Least common multiple can be found by multiplying the highest exponent prime factors of 3193 and 3201. First we will calculate the prime factors of 3193 and 3201.
Prime Factorization of 3193
| 31 | 3193 |
| 103 | 103 |
| 1 |
Prime factors of 3193 are 31,103. Prime factorization of 3193 in exponential form is:
3193 = 311×1031
Prime Factorization of 3201
| 3 | 3201 |
| 11 | 1067 |
| 97 | 97 |
| 1 |
Prime factors of 3201 are 3, 11,97. Prime factorization of 3201 in exponential form is:
3201 = 31×111×971
Now multiplying the highest exponent prime factors to calculate the LCM of 3193 and 3201.
LCM(3193,3201) = 31×111×311×971×1031
LCM(3193,3201) = 10220793
Factors of 3193
List of positive integer factors of 3193 that divides 3193 without a remainder.
1, 31, 103, 3193
Factors of 3201
List of positive integer factors of 3201 that divides 3201 without a remainder.
1, 3, 11, 33, 97, 291, 1067, 3201
Least Common Multiple of 3193 and 3201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3193 and 3201, than apply into the LCM equation.
GCF(3193,3201) = 1
LCM(3193,3201) = ( 3193 × 3201) / 1
LCM(3193,3201) = 10220793 / 1
LCM(3193,3201) = 10220793
Properties of LCM 3193 and 3201
(i) The LCM of 3201 and 3193 is associative
LCM of 3193 and 3201 = LCM of 3201 and 3193
Related Least Common Multiples of 3193
Related Least Common Multiples of 3201
Frequently Asked Questions on LCM of 3193 and 3201
1. What is the LCM of 3193 and 3201?
Answer: LCM of 3193 and 3201 is 10220793.
2. What are the Factors of 3193?
Answer: Factors of 3193 are 1, 31, 103, 3193. There are 4 integers that are factors of 3193. The greatest factor of 3193 is 3193.
3. What are the Factors of 3201?
Answer: Factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201. There are 8 integers that are factors of 3201. The greatest factor of 3201 is 3201.
4. How to Find the LCM of 3193 and 3201?
Answer:
Least Common Multiple of 3193 and 3201 = 10220793
Step 1: Find the prime factorization of 3193
3193 = 31 x 103
Step 2: Find the prime factorization of 3201
3201 = 3 x 11 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10220793 = 3 x 11 x 31 x 97 x 103
Step 4: Therefore, the least common multiple of 3193 and 3201 is 10220793.