Least Common Multiple of 4231 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 4231 and 4235 the smallest integer that is 17918285 that is divisible by both numbers.

Least Common Multiple (LCM) of 4231 and 4235 is 17918285.

LCM(4231,4235) = 17918285

LCM of 4231 and 4235

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

LCM of:
and

Least Common Multiple of 4231 and 4235

LCM of 4231 and 4235 is 17918285

Least common multiple can be found by multiplying the highest exponent prime factors of 4231 and 4235. First we will calculate the prime factors of 4231 and 4235.

Prime Factorization of 4231


4231 4231
1

Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:

4231 = 42311

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 4231 and 4235.

LCM(4231,4235) = 51×71×112×42311
LCM(4231,4235) = 17918285

Factors of 4231

List of positive integer factors of 4231 that divides 4231 without a remainder.

1, 4231

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 4231 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 4231 and 4235, than apply into the LCM equation.

GCF(4231,4235) = 1
LCM(4231,4235) = ( 4231 × 4235) / 1
LCM(4231,4235) = 17918285 / 1
LCM(4231,4235) = 17918285

Properties of LCM 4231 and 4235

(i) The LCM of 4235 and 4231 is associative

LCM of 4231 and 4235 = LCM of 4235 and 4231

Related Least Common Multiples of 4231

Related Least Common Multiples of 4235

Frequently Asked Questions on LCM of 4231 and 4235

1. What is the LCM of 4231 and 4235?

Answer: LCM of 4231 and 4235 is 17918285.

2. What are the Factors of 4231?

Answer: Factors of 4231 are 1, 4231. There are 2 integers that are factors of 4231. The greatest factor of 4231 is 4231.

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 4231 and 4235?

Answer:

Least Common Multiple of 4231 and 4235 = 17918285

Step 1: Find the prime factorization of 4231

4231 = 4231

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 = 17918285 = 5 x 7 x 11 x 11 x 4231

Step 4: Therefore, the least common multiple of 4231 and 4235 is 17918285.