Least Common Multiple of 7227 and 7235

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 7235 the smallest integer that is 52287345 that is divisible by both numbers.

Least Common Multiple (LCM) of 7227 and 7235 is 52287345.

LCM(7227,7235) = 52287345

LCM of 7227 and 7235

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

LCM of:
and

Least Common Multiple of 7227 and 7235

LCM of 7227 and 7235 is 52287345

Least common multiple can be found by multiplying the highest exponent prime factors of 7227 and 7235. First we will calculate the prime factors of 7227 and 7235.

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 7235


5 7235
1447 1447
1

Prime factors of 7235 are 5,1447. Prime factorization of 7235 in exponential form is:

7235 = 51×14471

Now multiplying the highest exponent prime factors to calculate the LCM of 7227 and 7235.

LCM(7227,7235) = 32×51×111×731×14471
LCM(7227,7235) = 52287345

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 7235

List of positive integer factors of 7235 that divides 7235 without a remainder.

1, 5, 1447, 7235

Least Common Multiple of 7227 and 7235 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 7235, than apply into the LCM equation.

GCF(7227,7235) = 1
LCM(7227,7235) = ( 7227 × 7235) / 1
LCM(7227,7235) = 52287345 / 1
LCM(7227,7235) = 52287345

Properties of LCM 7227 and 7235

(i) The LCM of 7235 and 7227 is associative

LCM of 7227 and 7235 = LCM of 7235 and 7227

Related Least Common Multiples of 7227

Related Least Common Multiples of 7235

Frequently Asked Questions on LCM of 7227 and 7235

1. What is the LCM of 7227 and 7235?

Answer: LCM of 7227 and 7235 is 52287345.

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 7235?

Answer: Factors of 7235 are 1, 5, 1447, 7235. There are 4 integers that are factors of 7235. The greatest factor of 7235 is 7235.

4. How to Find the LCM of 7227 and 7235?

Answer:

Least Common Multiple of 7227 and 7235 = 52287345

Step 1: Find the prime factorization of 7227

7227 = 3 x 3 x 11 x 73

Step 2: Find the prime factorization of 7235

7235 = 5 x 1447

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

LCM = 52287345 = 3 x 3 x 5 x 11 x 73 x 1447

Step 4: Therefore, the least common multiple of 7227 and 7235 is 52287345.