Least Common Multiple of 8224 and 8231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8224 and 8231 the smallest integer that is 67691744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8224 and 8231 is 67691744.

LCM(8224,8231) = 67691744

LCM of 8224 and 8231

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

LCM of:
and

Least Common Multiple of 8224 and 8231

LCM of 8224 and 8231 is 67691744

Least common multiple can be found by multiplying the highest exponent prime factors of 8224 and 8231. First we will calculate the prime factors of 8224 and 8231.

Prime Factorization of 8224


2 8224
2 4112
2 2056
2 1028
2 514
257 257
1

Prime factors of 8224 are 2,257. Prime factorization of 8224 in exponential form is:

8224 = 25×2571

Prime Factorization of 8231


8231 8231
1

Prime factors of 8231 are 8231. Prime factorization of 8231 in exponential form is:

8231 = 82311

Now multiplying the highest exponent prime factors to calculate the LCM of 8224 and 8231.

LCM(8224,8231) = 25×2571×82311
LCM(8224,8231) = 67691744

Factors of 8224

List of positive integer factors of 8224 that divides 8224 without a remainder.

1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224

Factors of 8231

List of positive integer factors of 8231 that divides 8231 without a remainder.

1, 8231

Least Common Multiple of 8224 and 8231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8224 and 8231, than apply into the LCM equation.

GCF(8224,8231) = 1
LCM(8224,8231) = ( 8224 × 8231) / 1
LCM(8224,8231) = 67691744 / 1
LCM(8224,8231) = 67691744

Properties of LCM 8224 and 8231

(i) The LCM of 8231 and 8224 is associative

LCM of 8224 and 8231 = LCM of 8231 and 8224

Related Least Common Multiples of 8224

Related Least Common Multiples of 8231

Frequently Asked Questions on LCM of 8224 and 8231

1. What is the LCM of 8224 and 8231?

Answer: LCM of 8224 and 8231 is 67691744.

2. What are the Factors of 8224?

Answer: Factors of 8224 are 1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224. There are 12 integers that are factors of 8224. The greatest factor of 8224 is 8224.

3. What are the Factors of 8231?

Answer: Factors of 8231 are 1, 8231. There are 2 integers that are factors of 8231. The greatest factor of 8231 is 8231.

4. How to Find the LCM of 8224 and 8231?

Answer:

Least Common Multiple of 8224 and 8231 = 67691744

Step 1: Find the prime factorization of 8224

8224 = 2 x 2 x 2 x 2 x 2 x 257

Step 2: Find the prime factorization of 8231

8231 = 8231

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

LCM = 67691744 = 2 x 2 x 2 x 2 x 2 x 257 x 8231

Step 4: Therefore, the least common multiple of 8224 and 8231 is 67691744.