Least Common Multiple of 1215 and 1219
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1215 and 1219 the smallest integer that is 1481085 that is divisible by both numbers.
Least Common Multiple (LCM) of 1215 and 1219 is 1481085.
LCM(1215,1219) = 1481085
LCM of 1215 and 1219
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1215 and 1219 by Prime method
- Least Common Multiple of 1215 and 1219 with GCF Formula
LCM of 1215 and 1219 is 1481085
Least common multiple can be found by multiplying the highest exponent prime factors of 1215 and 1219. First we will calculate the prime factors of 1215 and 1219.
Prime Factorization of 1215
| 3 | 1215 |
| 3 | 405 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 1215 are 3,5. Prime factorization of 1215 in exponential form is:
1215 = 35×51
Prime Factorization of 1219
| 23 | 1219 |
| 53 | 53 |
| 1 |
Prime factors of 1219 are 23,53. Prime factorization of 1219 in exponential form is:
1219 = 231×531
Now multiplying the highest exponent prime factors to calculate the LCM of 1215 and 1219.
LCM(1215,1219) = 35×51×231×531
LCM(1215,1219) = 1481085
Factors of 1215
List of positive integer factors of 1215 that divides 1215 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
Factors of 1219
List of positive integer factors of 1219 that divides 1219 without a remainder.
1, 23, 53, 1219
Least Common Multiple of 1215 and 1219 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1215 and 1219, than apply into the LCM equation.
GCF(1215,1219) = 1
LCM(1215,1219) = ( 1215 × 1219) / 1
LCM(1215,1219) = 1481085 / 1
LCM(1215,1219) = 1481085
Properties of LCM 1215 and 1219
(i) The LCM of 1219 and 1215 is associative
LCM of 1215 and 1219 = LCM of 1219 and 1215
Related Least Common Multiples of 1215
Related Least Common Multiples of 1219
Frequently Asked Questions on LCM of 1215 and 1219
1. What is the LCM of 1215 and 1219?
Answer: LCM of 1215 and 1219 is 1481085.
2. What are the Factors of 1215?
Answer: Factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215. There are 12 integers that are factors of 1215. The greatest factor of 1215 is 1215.
3. What are the Factors of 1219?
Answer: Factors of 1219 are 1, 23, 53, 1219. There are 4 integers that are factors of 1219. The greatest factor of 1219 is 1219.
4. How to Find the LCM of 1215 and 1219?
Answer:
Least Common Multiple of 1215 and 1219 = 1481085
Step 1: Find the prime factorization of 1215
1215 = 3 x 3 x 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 1219
1219 = 23 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1481085 = 3 x 3 x 3 x 3 x 3 x 5 x 23 x 53
Step 4: Therefore, the least common multiple of 1215 and 1219 is 1481085.
