Least Common Multiple of 1221 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 1221 and 1227 the smallest integer that is 499389 that is divisible by both numbers.
Least Common Multiple (LCM) of 1221 and 1227 is 499389.
LCM(1221,1227) = 499389
LCM of 1221 and 1227
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1221 and 1227 by Prime method
- Least Common Multiple of 1221 and 1227 with GCF Formula
LCM of 1221 and 1227 is 499389
Least common multiple can be found by multiplying the highest exponent prime factors of 1221 and 1227. First we will calculate the prime factors of 1221 and 1227.
Prime Factorization of 1221
| 3 | 1221 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 1221 are 3, 11,37. Prime factorization of 1221 in exponential form is:
1221 = 31×111×371
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 1221 and 1227.
LCM(1221,1227) = 31×111×371×4091
LCM(1221,1227) = 499389
Factors of 1221
List of positive integer factors of 1221 that divides 1221 without a remainder.
1, 3, 11, 33, 37, 111, 407, 1221
Factors of 1227
List of positive integer factors of 1227 that divides 1227 without a remainder.
1, 3, 409, 1227
Least Common Multiple of 1221 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 1221 and 1227, than apply into the LCM equation.
GCF(1221,1227) = 3
LCM(1221,1227) = ( 1221 × 1227) / 3
LCM(1221,1227) = 1498167 / 3
LCM(1221,1227) = 499389
Properties of LCM 1221 and 1227
(i) The LCM of 1227 and 1221 is associative
LCM of 1221 and 1227 = LCM of 1227 and 1221
Related Least Common Multiples of 1221
Related Least Common Multiples of 1227
Frequently Asked Questions on LCM of 1221 and 1227
1. What is the LCM of 1221 and 1227?
Answer: LCM of 1221 and 1227 is 499389.
2. What are the Factors of 1221?
Answer: Factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221. There are 8 integers that are factors of 1221. The greatest factor of 1221 is 1221.
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 1221 and 1227?
Answer:
Least Common Multiple of 1221 and 1227 = 499389
Step 1: Find the prime factorization of 1221
1221 = 3 x 11 x 37
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 = 499389 = 3 x 11 x 37 x 409
Step 4: Therefore, the least common multiple of 1221 and 1227 is 499389.