Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3215 and 3219 the smallest integer that is 10349085 that is divisible by both numbers.
Least Common Multiple (LCM) of 3215 and 3219 is 10349085.
LCM(3215,3219) = 10349085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3215 and 3219. First we will calculate the prime factors of 3215 and 3219.
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
Prime Factorization of 3219
3 | 3219 |
29 | 1073 |
37 | 37 |
1 |
Prime factors of 3219 are 3, 29,37. Prime factorization of 3219 in exponential form is:
3219 = 31×291×371
Now multiplying the highest exponent prime factors to calculate the LCM of 3215 and 3219.
LCM(3215,3219) = 31×51×291×371×6431
LCM(3215,3219) = 10349085
Factors of 3215
List of positive integer factors of 3215 that divides 3215 without a remainder.
1, 5, 643, 3215
Factors of 3219
List of positive integer factors of 3219 that divides 3219 without a remainder.
1, 3, 29, 37, 87, 111, 1073, 3219
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3215 and 3219, than apply into the LCM equation.
GCF(3215,3219) = 1
LCM(3215,3219) = ( 3215 × 3219) / 1
LCM(3215,3219) = 10349085 / 1
LCM(3215,3219) = 10349085
(i) The LCM of 3219 and 3215 is associative
LCM of 3215 and 3219 = LCM of 3219 and 3215
1. What is the LCM of 3215 and 3219?
Answer: LCM of 3215 and 3219 is 10349085.
2. 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.
3. What are the Factors of 3219?
Answer: Factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219. There are 8 integers that are factors of 3219. The greatest factor of 3219 is 3219.
4. How to Find the LCM of 3215 and 3219?
Answer:
Least Common Multiple of 3215 and 3219 = 10349085
Step 1: Find the prime factorization of 3215
3215 = 5 x 643
Step 2: Find the prime factorization of 3219
3219 = 3 x 29 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10349085 = 3 x 5 x 29 x 37 x 643
Step 4: Therefore, the least common multiple of 3215 and 3219 is 10349085.