Least Common Multiple of 3198 and 3205
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 3205 the smallest integer that is 10249590 that is divisible by both numbers.
Least Common Multiple (LCM) of 3198 and 3205 is 10249590.
LCM(3198,3205) = 10249590
LCM of 3198 and 3205
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3198 and 3205 by Prime method
- Least Common Multiple of 3198 and 3205 with GCF Formula
LCM of 3198 and 3205 is 10249590
Least common multiple can be found by multiplying the highest exponent prime factors of 3198 and 3205. First we will calculate the prime factors of 3198 and 3205.
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 3205
| 5 | 3205 |
| 641 | 641 |
| 1 |
Prime factors of 3205 are 5,641. Prime factorization of 3205 in exponential form is:
3205 = 51×6411
Now multiplying the highest exponent prime factors to calculate the LCM of 3198 and 3205.
LCM(3198,3205) = 21×31×51×131×411×6411
LCM(3198,3205) = 10249590
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 3205
List of positive integer factors of 3205 that divides 3205 without a remainder.
1, 5, 641, 3205
Least Common Multiple of 3198 and 3205 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 3205, than apply into the LCM equation.
GCF(3198,3205) = 1
LCM(3198,3205) = ( 3198 × 3205) / 1
LCM(3198,3205) = 10249590 / 1
LCM(3198,3205) = 10249590
Properties of LCM 3198 and 3205
(i) The LCM of 3205 and 3198 is associative
LCM of 3198 and 3205 = LCM of 3205 and 3198
Related Least Common Multiples of 3198
Related Least Common Multiples of 3205
Frequently Asked Questions on LCM of 3198 and 3205
1. What is the LCM of 3198 and 3205?
Answer: LCM of 3198 and 3205 is 10249590.
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 3205?
Answer: Factors of 3205 are 1, 5, 641, 3205. There are 4 integers that are factors of 3205. The greatest factor of 3205 is 3205.
4. How to Find the LCM of 3198 and 3205?
Answer:
Least Common Multiple of 3198 and 3205 = 10249590
Step 1: Find the prime factorization of 3198
3198 = 2 x 3 x 13 x 41
Step 2: Find the prime factorization of 3205
3205 = 5 x 641
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10249590 = 2 x 3 x 5 x 13 x 41 x 641
Step 4: Therefore, the least common multiple of 3198 and 3205 is 10249590.