Least Common Multiple of 8224 and 8229

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 8229 the smallest integer that is 67675296 that is divisible by both numbers.

Least Common Multiple (LCM) of 8224 and 8229 is 67675296.

LCM(8224,8229) = 67675296

LCM of 8224 and 8229

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

LCM of:
and

Least Common Multiple of 8224 and 8229

LCM of 8224 and 8229 is 67675296

Least common multiple can be found by multiplying the highest exponent prime factors of 8224 and 8229. First we will calculate the prime factors of 8224 and 8229.

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 8229


3 8229
13 2743
211 211
1

Prime factors of 8229 are 3, 13,211. Prime factorization of 8229 in exponential form is:

8229 = 31×131×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8224 and 8229.

LCM(8224,8229) = 25×31×131×2111×2571
LCM(8224,8229) = 67675296

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 8229

List of positive integer factors of 8229 that divides 8229 without a remainder.

1, 3, 13, 39, 211, 633, 2743, 8229

Least Common Multiple of 8224 and 8229 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 8229, than apply into the LCM equation.

GCF(8224,8229) = 1
LCM(8224,8229) = ( 8224 × 8229) / 1
LCM(8224,8229) = 67675296 / 1
LCM(8224,8229) = 67675296

Properties of LCM 8224 and 8229

(i) The LCM of 8229 and 8224 is associative

LCM of 8224 and 8229 = LCM of 8229 and 8224

Related Least Common Multiples of 8224

Related Least Common Multiples of 8229

Frequently Asked Questions on LCM of 8224 and 8229

1. What is the LCM of 8224 and 8229?

Answer: LCM of 8224 and 8229 is 67675296.

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 8229?

Answer: Factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229. There are 8 integers that are factors of 8229. The greatest factor of 8229 is 8229.

4. How to Find the LCM of 8224 and 8229?

Answer:

Least Common Multiple of 8224 and 8229 = 67675296

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 8229

8229 = 3 x 13 x 211

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

LCM = 67675296 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 211 x 257

Step 4: Therefore, the least common multiple of 8224 and 8229 is 67675296.