Least Common Multiple of 3205 and 3211
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3205 and 3211 the smallest integer that is 10291255 that is divisible by both numbers.
Least Common Multiple (LCM) of 3205 and 3211 is 10291255.
LCM(3205,3211) = 10291255
LCM of 3205 and 3211
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3205 and 3211 by Prime method
- Least Common Multiple of 3205 and 3211 with GCF Formula
LCM of 3205 and 3211 is 10291255
Least common multiple can be found by multiplying the highest exponent prime factors of 3205 and 3211. First we will calculate the prime factors of 3205 and 3211.
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
Prime Factorization of 3211
| 13 | 3211 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 3211 are 13,19. Prime factorization of 3211 in exponential form is:
3211 = 132×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3205 and 3211.
LCM(3205,3211) = 51×132×191×6411
LCM(3205,3211) = 10291255
Factors of 3205
List of positive integer factors of 3205 that divides 3205 without a remainder.
1, 5, 641, 3205
Factors of 3211
List of positive integer factors of 3211 that divides 3211 without a remainder.
1, 13, 19, 169, 247, 3211
Least Common Multiple of 3205 and 3211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3205 and 3211, than apply into the LCM equation.
GCF(3205,3211) = 1
LCM(3205,3211) = ( 3205 × 3211) / 1
LCM(3205,3211) = 10291255 / 1
LCM(3205,3211) = 10291255
Properties of LCM 3205 and 3211
(i) The LCM of 3211 and 3205 is associative
LCM of 3205 and 3211 = LCM of 3211 and 3205
Related Least Common Multiples of 3205
Related Least Common Multiples of 3211
Frequently Asked Questions on LCM of 3205 and 3211
1. What is the LCM of 3205 and 3211?
Answer: LCM of 3205 and 3211 is 10291255.
2. 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.
3. What are the Factors of 3211?
Answer: Factors of 3211 are 1, 13, 19, 169, 247, 3211. There are 6 integers that are factors of 3211. The greatest factor of 3211 is 3211.
4. How to Find the LCM of 3205 and 3211?
Answer:
Least Common Multiple of 3205 and 3211 = 10291255
Step 1: Find the prime factorization of 3205
3205 = 5 x 641
Step 2: Find the prime factorization of 3211
3211 = 13 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10291255 = 5 x 13 x 13 x 19 x 641
Step 4: Therefore, the least common multiple of 3205 and 3211 is 10291255.