Least Common Multiple of 3197 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 3197 and 3201 the smallest integer that is 10233597 that is divisible by both numbers.
Least Common Multiple (LCM) of 3197 and 3201 is 10233597.
LCM(3197,3201) = 10233597
LCM of 3197 and 3201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3197 and 3201 by Prime method
- Least Common Multiple of 3197 and 3201 with GCF Formula
LCM of 3197 and 3201 is 10233597
Least common multiple can be found by multiplying the highest exponent prime factors of 3197 and 3201. First we will calculate the prime factors of 3197 and 3201.
Prime Factorization of 3197
| 23 | 3197 |
| 139 | 139 |
| 1 |
Prime factors of 3197 are 23,139. Prime factorization of 3197 in exponential form is:
3197 = 231×1391
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 3197 and 3201.
LCM(3197,3201) = 31×111×231×971×1391
LCM(3197,3201) = 10233597
Factors of 3197
List of positive integer factors of 3197 that divides 3197 without a remainder.
1, 23, 139, 3197
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 3197 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 3197 and 3201, than apply into the LCM equation.
GCF(3197,3201) = 1
LCM(3197,3201) = ( 3197 × 3201) / 1
LCM(3197,3201) = 10233597 / 1
LCM(3197,3201) = 10233597
Properties of LCM 3197 and 3201
(i) The LCM of 3201 and 3197 is associative
LCM of 3197 and 3201 = LCM of 3201 and 3197
Related Least Common Multiples of 3197
Related Least Common Multiples of 3201
Frequently Asked Questions on LCM of 3197 and 3201
1. What is the LCM of 3197 and 3201?
Answer: LCM of 3197 and 3201 is 10233597.
2. What are the Factors of 3197?
Answer: Factors of 3197 are 1, 23, 139, 3197. There are 4 integers that are factors of 3197. The greatest factor of 3197 is 3197.
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 3197 and 3201?
Answer:
Least Common Multiple of 3197 and 3201 = 10233597
Step 1: Find the prime factorization of 3197
3197 = 23 x 139
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 = 10233597 = 3 x 11 x 23 x 97 x 139
Step 4: Therefore, the least common multiple of 3197 and 3201 is 10233597.