Least Common Multiple of 8224 and 8227

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 8227 the smallest integer that is 67658848 that is divisible by both numbers.

Least Common Multiple (LCM) of 8224 and 8227 is 67658848.

LCM(8224,8227) = 67658848

LCM of 8224 and 8227

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

LCM of:
and

Least Common Multiple of 8224 and 8227

LCM of 8224 and 8227 is 67658848

Least common multiple can be found by multiplying the highest exponent prime factors of 8224 and 8227. First we will calculate the prime factors of 8224 and 8227.

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 8227


19 8227
433 433
1

Prime factors of 8227 are 19,433. Prime factorization of 8227 in exponential form is:

8227 = 191×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 8224 and 8227.

LCM(8224,8227) = 25×191×2571×4331
LCM(8224,8227) = 67658848

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 8227

List of positive integer factors of 8227 that divides 8227 without a remainder.

1, 19, 433, 8227

Least Common Multiple of 8224 and 8227 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 8227, than apply into the LCM equation.

GCF(8224,8227) = 1
LCM(8224,8227) = ( 8224 × 8227) / 1
LCM(8224,8227) = 67658848 / 1
LCM(8224,8227) = 67658848

Properties of LCM 8224 and 8227

(i) The LCM of 8227 and 8224 is associative

LCM of 8224 and 8227 = LCM of 8227 and 8224

Related Least Common Multiples of 8224

Related Least Common Multiples of 8227

Frequently Asked Questions on LCM of 8224 and 8227

1. What is the LCM of 8224 and 8227?

Answer: LCM of 8224 and 8227 is 67658848.

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 8227?

Answer: Factors of 8227 are 1, 19, 433, 8227. There are 4 integers that are factors of 8227. The greatest factor of 8227 is 8227.

4. How to Find the LCM of 8224 and 8227?

Answer:

Least Common Multiple of 8224 and 8227 = 67658848

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 8227

8227 = 19 x 433

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

LCM = 67658848 = 2 x 2 x 2 x 2 x 2 x 19 x 257 x 433

Step 4: Therefore, the least common multiple of 8224 and 8227 is 67658848.