Least Common Multiple of 3198 and 3203
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3198 and 3203 the smallest integer that is 10243194 that is divisible by both numbers.
Least Common Multiple (LCM) of 3198 and 3203 is 10243194.
LCM(3198,3203) = 10243194
LCM of 3198 and 3203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3198 and 3203 by Prime method
- Least Common Multiple of 3198 and 3203 with GCF Formula
LCM of 3198 and 3203 is 10243194
Least common multiple can be found by multiplying the highest exponent prime factors of 3198 and 3203. First we will calculate the prime factors of 3198 and 3203.
Prime Factorization of 3198
| 2 | 3198 |
| 3 | 1599 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 3198 are 2, 3, 13,41. Prime factorization of 3198 in exponential form is:
3198 = 21×31×131×411
Prime Factorization of 3203
| 3203 | 3203 |
| 1 |
Prime factors of 3203 are 3203. Prime factorization of 3203 in exponential form is:
3203 = 32031
Now multiplying the highest exponent prime factors to calculate the LCM of 3198 and 3203.
LCM(3198,3203) = 21×31×131×411×32031
LCM(3198,3203) = 10243194
Factors of 3198
List of positive integer factors of 3198 that divides 3198 without a remainder.
1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198
Factors of 3203
List of positive integer factors of 3203 that divides 3203 without a remainder.
1, 3203
Least Common Multiple of 3198 and 3203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3198 and 3203, than apply into the LCM equation.
GCF(3198,3203) = 1
LCM(3198,3203) = ( 3198 × 3203) / 1
LCM(3198,3203) = 10243194 / 1
LCM(3198,3203) = 10243194
Properties of LCM 3198 and 3203
(i) The LCM of 3203 and 3198 is associative
LCM of 3198 and 3203 = LCM of 3203 and 3198
Related Least Common Multiples of 3198
Related Least Common Multiples of 3203
Frequently Asked Questions on LCM of 3198 and 3203
1. What is the LCM of 3198 and 3203?
Answer: LCM of 3198 and 3203 is 10243194.
2. What are the Factors of 3198?
Answer: Factors of 3198 are 1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198. There are 16 integers that are factors of 3198. The greatest factor of 3198 is 3198.
3. What are the Factors of 3203?
Answer: Factors of 3203 are 1, 3203. There are 2 integers that are factors of 3203. The greatest factor of 3203 is 3203.
4. How to Find the LCM of 3198 and 3203?
Answer:
Least Common Multiple of 3198 and 3203 = 10243194
Step 1: Find the prime factorization of 3198
3198 = 2 x 3 x 13 x 41
Step 2: Find the prime factorization of 3203
3203 = 3203
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10243194 = 2 x 3 x 13 x 41 x 3203
Step 4: Therefore, the least common multiple of 3198 and 3203 is 10243194.