Least Common Multiple of 4227 and 4235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4227 and 4235 the smallest integer that is 17901345 that is divisible by both numbers.

Least Common Multiple (LCM) of 4227 and 4235 is 17901345.

LCM(4227,4235) = 17901345

LCM of 4227 and 4235

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

LCM of:
and

Least Common Multiple of 4227 and 4235

LCM of 4227 and 4235 is 17901345

Least common multiple can be found by multiplying the highest exponent prime factors of 4227 and 4235. First we will calculate the prime factors of 4227 and 4235.

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

Prime Factorization of 4235


5 4235
7 847
11 121
11 11
1

Prime factors of 4235 are 5, 7,11. Prime factorization of 4235 in exponential form is:

4235 = 51×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 4227 and 4235.

LCM(4227,4235) = 31×51×71×112×14091
LCM(4227,4235) = 17901345

Factors of 4227

List of positive integer factors of 4227 that divides 4227 without a remainder.

1, 3, 1409, 4227

Factors of 4235

List of positive integer factors of 4235 that divides 4235 without a remainder.

1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235

Least Common Multiple of 4227 and 4235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4227 and 4235, than apply into the LCM equation.

GCF(4227,4235) = 1
LCM(4227,4235) = ( 4227 × 4235) / 1
LCM(4227,4235) = 17901345 / 1
LCM(4227,4235) = 17901345

Properties of LCM 4227 and 4235

(i) The LCM of 4235 and 4227 is associative

LCM of 4227 and 4235 = LCM of 4235 and 4227

Related Least Common Multiples of 4227

Related Least Common Multiples of 4235

Frequently Asked Questions on LCM of 4227 and 4235

1. What is the LCM of 4227 and 4235?

Answer: LCM of 4227 and 4235 is 17901345.

2. 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.

3. What are the Factors of 4235?

Answer: Factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235. There are 12 integers that are factors of 4235. The greatest factor of 4235 is 4235.

4. How to Find the LCM of 4227 and 4235?

Answer:

Least Common Multiple of 4227 and 4235 = 17901345

Step 1: Find the prime factorization of 4227

4227 = 3 x 1409

Step 2: Find the prime factorization of 4235

4235 = 5 x 7 x 11 x 11

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

LCM = 17901345 = 3 x 5 x 7 x 11 x 11 x 1409

Step 4: Therefore, the least common multiple of 4227 and 4235 is 17901345.