Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4222 and 4227 the smallest integer that is 17846394 that is divisible by both numbers.
Least Common Multiple (LCM) of 4222 and 4227 is 17846394.
LCM(4222,4227) = 17846394
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 4222 and 4227. First we will calculate the prime factors of 4222 and 4227.
Prime Factorization of 4222
2 | 4222 |
2111 | 2111 |
1 |
Prime factors of 4222 are 2,2111. Prime factorization of 4222 in exponential form is:
4222 = 21×21111
Prime Factorization of 4227
3 | 4227 |
1409 | 1409 |
1 |
Prime factors of 4227 are 3,1409. Prime factorization of 4227 in exponential form is:
4227 = 31×14091
Now multiplying the highest exponent prime factors to calculate the LCM of 4222 and 4227.
LCM(4222,4227) = 21×31×14091×21111
LCM(4222,4227) = 17846394
Factors of 4222
List of positive integer factors of 4222 that divides 4222 without a remainder.
1, 2, 2111, 4222
Factors of 4227
List of positive integer factors of 4227 that divides 4227 without a remainder.
1, 3, 1409, 4227
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4222 and 4227, than apply into the LCM equation.
GCF(4222,4227) = 1
LCM(4222,4227) = ( 4222 × 4227) / 1
LCM(4222,4227) = 17846394 / 1
LCM(4222,4227) = 17846394
(i) The LCM of 4227 and 4222 is associative
LCM of 4222 and 4227 = LCM of 4227 and 4222
1. What is the LCM of 4222 and 4227?
Answer: LCM of 4222 and 4227 is 17846394.
2. What are the Factors of 4222?
Answer: Factors of 4222 are 1, 2, 2111, 4222. There are 4 integers that are factors of 4222. The greatest factor of 4222 is 4222.
3. What are the Factors of 4227?
Answer: Factors of 4227 are 1, 3, 1409, 4227. There are 4 integers that are factors of 4227. The greatest factor of 4227 is 4227.
4. How to Find the LCM of 4222 and 4227?
Answer:
Least Common Multiple of 4222 and 4227 = 17846394
Step 1: Find the prime factorization of 4222
4222 = 2 x 2111
Step 2: Find the prime factorization of 4227
4227 = 3 x 1409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17846394 = 2 x 3 x 1409 x 2111
Step 4: Therefore, the least common multiple of 4222 and 4227 is 17846394.