Least Common Multiple of 3211 and 3215
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 3215 the smallest integer that is 10323365 that is divisible by both numbers.
Least Common Multiple (LCM) of 3211 and 3215 is 10323365.
LCM(3211,3215) = 10323365
LCM of 3211 and 3215
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3211 and 3215 by Prime method
- Least Common Multiple of 3211 and 3215 with GCF Formula
LCM of 3211 and 3215 is 10323365
Least common multiple can be found by multiplying the highest exponent prime factors of 3211 and 3215. First we will calculate the prime factors of 3211 and 3215.
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 3215
| 5 | 3215 |
| 643 | 643 |
| 1 |
Prime factors of 3215 are 5,643. Prime factorization of 3215 in exponential form is:
3215 = 51×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 3211 and 3215.
LCM(3211,3215) = 51×132×191×6431
LCM(3211,3215) = 10323365
Factors of 3211
List of positive integer factors of 3211 that divides 3211 without a remainder.
1, 13, 19, 169, 247, 3211
Factors of 3215
List of positive integer factors of 3215 that divides 3215 without a remainder.
1, 5, 643, 3215
Least Common Multiple of 3211 and 3215 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 3215, than apply into the LCM equation.
GCF(3211,3215) = 1
LCM(3211,3215) = ( 3211 × 3215) / 1
LCM(3211,3215) = 10323365 / 1
LCM(3211,3215) = 10323365
Properties of LCM 3211 and 3215
(i) The LCM of 3215 and 3211 is associative
LCM of 3211 and 3215 = LCM of 3215 and 3211
Related Least Common Multiples of 3211
Related Least Common Multiples of 3215
Frequently Asked Questions on LCM of 3211 and 3215
1. What is the LCM of 3211 and 3215?
Answer: LCM of 3211 and 3215 is 10323365.
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 3215?
Answer: Factors of 3215 are 1, 5, 643, 3215. There are 4 integers that are factors of 3215. The greatest factor of 3215 is 3215.
4. How to Find the LCM of 3211 and 3215?
Answer:
Least Common Multiple of 3211 and 3215 = 10323365
Step 1: Find the prime factorization of 3211
3211 = 13 x 13 x 19
Step 2: Find the prime factorization of 3215
3215 = 5 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10323365 = 5 x 13 x 13 x 19 x 643
Step 4: Therefore, the least common multiple of 3211 and 3215 is 10323365.