Least Common Multiple of 1219 and 1227
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1219 and 1227 the smallest integer that is 1495713 that is divisible by both numbers.
Least Common Multiple (LCM) of 1219 and 1227 is 1495713.
LCM(1219,1227) = 1495713
LCM of 1219 and 1227
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1219 and 1227 by Prime method
- Least Common Multiple of 1219 and 1227 with GCF Formula
LCM of 1219 and 1227 is 1495713
Least common multiple can be found by multiplying the highest exponent prime factors of 1219 and 1227. First we will calculate the prime factors of 1219 and 1227.
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
Prime Factorization of 1227
| 3 | 1227 |
| 409 | 409 |
| 1 |
Prime factors of 1227 are 3,409. Prime factorization of 1227 in exponential form is:
1227 = 31×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 1219 and 1227.
LCM(1219,1227) = 31×231×531×4091
LCM(1219,1227) = 1495713
Factors of 1219
List of positive integer factors of 1219 that divides 1219 without a remainder.
1, 23, 53, 1219
Factors of 1227
List of positive integer factors of 1227 that divides 1227 without a remainder.
1, 3, 409, 1227
Least Common Multiple of 1219 and 1227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1219 and 1227, than apply into the LCM equation.
GCF(1219,1227) = 1
LCM(1219,1227) = ( 1219 × 1227) / 1
LCM(1219,1227) = 1495713 / 1
LCM(1219,1227) = 1495713
Properties of LCM 1219 and 1227
(i) The LCM of 1227 and 1219 is associative
LCM of 1219 and 1227 = LCM of 1227 and 1219
Related Least Common Multiples of 1219
Related Least Common Multiples of 1227
Frequently Asked Questions on LCM of 1219 and 1227
1. What is the LCM of 1219 and 1227?
Answer: LCM of 1219 and 1227 is 1495713.
2. 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.
3. What are the Factors of 1227?
Answer: Factors of 1227 are 1, 3, 409, 1227. There are 4 integers that are factors of 1227. The greatest factor of 1227 is 1227.
4. How to Find the LCM of 1219 and 1227?
Answer:
Least Common Multiple of 1219 and 1227 = 1495713
Step 1: Find the prime factorization of 1219
1219 = 23 x 53
Step 2: Find the prime factorization of 1227
1227 = 3 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1495713 = 3 x 23 x 53 x 409
Step 4: Therefore, the least common multiple of 1219 and 1227 is 1495713.
