Least Common Multiple of 7227 and 7233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7227 and 7233 the smallest integer that is 17424297 that is divisible by both numbers.

Least Common Multiple (LCM) of 7227 and 7233 is 17424297.

LCM(7227,7233) = 17424297

LCM of 7227 and 7233

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

LCM of:
and

Least Common Multiple of 7227 and 7233

LCM of 7227 and 7233 is 17424297

Least common multiple can be found by multiplying the highest exponent prime factors of 7227 and 7233. First we will calculate the prime factors of 7227 and 7233.

Prime Factorization of 7227


3 7227
3 2409
11 803
73 73
1

Prime factors of 7227 are 3, 11,73. Prime factorization of 7227 in exponential form is:

7227 = 32×111×731

Prime Factorization of 7233


3 7233
2411 2411
1

Prime factors of 7233 are 3,2411. Prime factorization of 7233 in exponential form is:

7233 = 31×24111

Now multiplying the highest exponent prime factors to calculate the LCM of 7227 and 7233.

LCM(7227,7233) = 32×111×731×24111
LCM(7227,7233) = 17424297

Factors of 7227

List of positive integer factors of 7227 that divides 7227 without a remainder.

1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1, 3, 2411, 7233

Least Common Multiple of 7227 and 7233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7227 and 7233, than apply into the LCM equation.

GCF(7227,7233) = 3
LCM(7227,7233) = ( 7227 × 7233) / 3
LCM(7227,7233) = 52272891 / 3
LCM(7227,7233) = 17424297

Properties of LCM 7227 and 7233

(i) The LCM of 7233 and 7227 is associative

LCM of 7227 and 7233 = LCM of 7233 and 7227

Related Least Common Multiples of 7227

Related Least Common Multiples of 7233

Frequently Asked Questions on LCM of 7227 and 7233

1. What is the LCM of 7227 and 7233?

Answer: LCM of 7227 and 7233 is 17424297.

2. What are the Factors of 7227?

Answer: Factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227. There are 12 integers that are factors of 7227. The greatest factor of 7227 is 7227.

3. What are the Factors of 7233?

Answer: Factors of 7233 are 1, 3, 2411, 7233. There are 4 integers that are factors of 7233. The greatest factor of 7233 is 7233.

4. How to Find the LCM of 7227 and 7233?

Answer:

Least Common Multiple of 7227 and 7233 = 17424297

Step 1: Find the prime factorization of 7227

7227 = 3 x 3 x 11 x 73

Step 2: Find the prime factorization of 7233

7233 = 3 x 2411

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 17424297 = 3 x 3 x 11 x 73 x 2411

Step 4: Therefore, the least common multiple of 7227 and 7233 is 17424297.