Least Common Multiple of 4224 and 4231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4224 and 4231 the smallest integer that is 17871744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4224 and 4231 is 17871744.

LCM(4224,4231) = 17871744

LCM of 4224 and 4231

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

LCM of:
and

Least Common Multiple of 4224 and 4231

LCM of 4224 and 4231 is 17871744

Least common multiple can be found by multiplying the highest exponent prime factors of 4224 and 4231. First we will calculate the prime factors of 4224 and 4231.

Prime Factorization of 4224


2 4224
2 2112
2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 4224 are 2, 3,11. Prime factorization of 4224 in exponential form is:

4224 = 27×31×111

Prime Factorization of 4231


4231 4231
1

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

4231 = 42311

Now multiplying the highest exponent prime factors to calculate the LCM of 4224 and 4231.

LCM(4224,4231) = 27×31×111×42311
LCM(4224,4231) = 17871744

Factors of 4224

List of positive integer factors of 4224 that divides 4224 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224

Factors of 4231

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

1, 4231

Least Common Multiple of 4224 and 4231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4224 and 4231, than apply into the LCM equation.

GCF(4224,4231) = 1
LCM(4224,4231) = ( 4224 × 4231) / 1
LCM(4224,4231) = 17871744 / 1
LCM(4224,4231) = 17871744

Properties of LCM 4224 and 4231

(i) The LCM of 4231 and 4224 is associative

LCM of 4224 and 4231 = LCM of 4231 and 4224

Related Least Common Multiples of 4224

Related Least Common Multiples of 4231

Frequently Asked Questions on LCM of 4224 and 4231

1. What is the LCM of 4224 and 4231?

Answer: LCM of 4224 and 4231 is 17871744.

2. What are the Factors of 4224?

Answer: Factors of 4224 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224. There are 32 integers that are factors of 4224. The greatest factor of 4224 is 4224.

3. 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.

4. How to Find the LCM of 4224 and 4231?

Answer:

Least Common Multiple of 4224 and 4231 = 17871744

Step 1: Find the prime factorization of 4224

4224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 4231

4231 = 4231

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

LCM = 17871744 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 4231

Step 4: Therefore, the least common multiple of 4224 and 4231 is 17871744.