Least Common Multiple of 8224 and 8230

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 8230 the smallest integer that is 33841760 that is divisible by both numbers.

Least Common Multiple (LCM) of 8224 and 8230 is 33841760.

LCM(8224,8230) = 33841760

LCM of 8224 and 8230

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

LCM of:
and

Least Common Multiple of 8224 and 8230

LCM of 8224 and 8230 is 33841760

Least common multiple can be found by multiplying the highest exponent prime factors of 8224 and 8230. First we will calculate the prime factors of 8224 and 8230.

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 8230


2 8230
5 4115
823 823
1

Prime factors of 8230 are 2, 5,823. Prime factorization of 8230 in exponential form is:

8230 = 21×51×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 8224 and 8230.

LCM(8224,8230) = 25×51×2571×8231
LCM(8224,8230) = 33841760

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 8230

List of positive integer factors of 8230 that divides 8230 without a remainder.

1, 2, 5, 10, 823, 1646, 4115, 8230

Least Common Multiple of 8224 and 8230 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 8230, than apply into the LCM equation.

GCF(8224,8230) = 2
LCM(8224,8230) = ( 8224 × 8230) / 2
LCM(8224,8230) = 67683520 / 2
LCM(8224,8230) = 33841760

Properties of LCM 8224 and 8230

(i) The LCM of 8230 and 8224 is associative

LCM of 8224 and 8230 = LCM of 8230 and 8224

Related Least Common Multiples of 8224

Related Least Common Multiples of 8230

Frequently Asked Questions on LCM of 8224 and 8230

1. What is the LCM of 8224 and 8230?

Answer: LCM of 8224 and 8230 is 33841760.

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 8230?

Answer: Factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230. There are 8 integers that are factors of 8230. The greatest factor of 8230 is 8230.

4. How to Find the LCM of 8224 and 8230?

Answer:

Least Common Multiple of 8224 and 8230 = 33841760

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 8230

8230 = 2 x 5 x 823

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

LCM = 33841760 = 2 x 2 x 2 x 2 x 2 x 5 x 257 x 823

Step 4: Therefore, the least common multiple of 8224 and 8230 is 33841760.