Least Common Multiple of 4222 and 4227

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

LCM of 4222 and 4227

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4222 and 4227

LCM of 4222 and 4227 is 17846394

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

Least Common Multiple of 4222 and 4227 with GCF Formula

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

Properties of LCM 4222 and 4227

(i) The LCM of 4227 and 4222 is associative

LCM of 4222 and 4227 = LCM of 4227 and 4222

Frequently Asked Questions on LCM of 4222 and 4227

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.