Least Common Multiple of 3211 and 3217
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3211 and 3217 the smallest integer that is 10329787 that is divisible by both numbers.
Least Common Multiple (LCM) of 3211 and 3217 is 10329787.
LCM(3211,3217) = 10329787
LCM of 3211 and 3217
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3211 and 3217 by Prime method
- Least Common Multiple of 3211 and 3217 with GCF Formula
LCM of 3211 and 3217 is 10329787
Least common multiple can be found by multiplying the highest exponent prime factors of 3211 and 3217. First we will calculate the prime factors of 3211 and 3217.
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
Prime Factorization of 3217
| 3217 | 3217 |
| 1 |
Prime factors of 3217 are 3217. Prime factorization of 3217 in exponential form is:
3217 = 32171
Now multiplying the highest exponent prime factors to calculate the LCM of 3211 and 3217.
LCM(3211,3217) = 132×191×32171
LCM(3211,3217) = 10329787
Factors of 3211
List of positive integer factors of 3211 that divides 3211 without a remainder.
1, 13, 19, 169, 247, 3211
Factors of 3217
List of positive integer factors of 3217 that divides 3217 without a remainder.
1, 3217
Least Common Multiple of 3211 and 3217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3211 and 3217, than apply into the LCM equation.
GCF(3211,3217) = 1
LCM(3211,3217) = ( 3211 × 3217) / 1
LCM(3211,3217) = 10329787 / 1
LCM(3211,3217) = 10329787
Properties of LCM 3211 and 3217
(i) The LCM of 3217 and 3211 is associative
LCM of 3211 and 3217 = LCM of 3217 and 3211
Related Least Common Multiples of 3211
Related Least Common Multiples of 3217
Frequently Asked Questions on LCM of 3211 and 3217
1. What is the LCM of 3211 and 3217?
Answer: LCM of 3211 and 3217 is 10329787.
2. 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.
3. What are the Factors of 3217?
Answer: Factors of 3217 are 1, 3217. There are 2 integers that are factors of 3217. The greatest factor of 3217 is 3217.
4. How to Find the LCM of 3211 and 3217?
Answer:
Least Common Multiple of 3211 and 3217 = 10329787
Step 1: Find the prime factorization of 3211
3211 = 13 x 13 x 19
Step 2: Find the prime factorization of 3217
3217 = 3217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10329787 = 13 x 13 x 19 x 3217
Step 4: Therefore, the least common multiple of 3211 and 3217 is 10329787.