Least Common Multiple of 8224 and 8232

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 8232 the smallest integer that is 8462496 that is divisible by both numbers.

Least Common Multiple (LCM) of 8224 and 8232 is 8462496.

LCM(8224,8232) = 8462496

LCM of 8224 and 8232

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

LCM of:
and

Least Common Multiple of 8224 and 8232

LCM of 8224 and 8232 is 8462496

Least common multiple can be found by multiplying the highest exponent prime factors of 8224 and 8232. First we will calculate the prime factors of 8224 and 8232.

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 8232


2 8232
2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 8232 are 2, 3,7. Prime factorization of 8232 in exponential form is:

8232 = 23×31×73

Now multiplying the highest exponent prime factors to calculate the LCM of 8224 and 8232.

LCM(8224,8232) = 25×31×73×2571
LCM(8224,8232) = 8462496

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 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232

Least Common Multiple of 8224 and 8232 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 8232, than apply into the LCM equation.

GCF(8224,8232) = 8
LCM(8224,8232) = ( 8224 × 8232) / 8
LCM(8224,8232) = 67699968 / 8
LCM(8224,8232) = 8462496

Properties of LCM 8224 and 8232

(i) The LCM of 8232 and 8224 is associative

LCM of 8224 and 8232 = LCM of 8232 and 8224

Related Least Common Multiples of 8224

Related Least Common Multiples of 8232

Frequently Asked Questions on LCM of 8224 and 8232

1. What is the LCM of 8224 and 8232?

Answer: LCM of 8224 and 8232 is 8462496.

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 8232?

Answer: Factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232. There are 32 integers that are factors of 8232. The greatest factor of 8232 is 8232.

4. How to Find the LCM of 8224 and 8232?

Answer:

Least Common Multiple of 8224 and 8232 = 8462496

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 8232

8232 = 2 x 2 x 2 x 3 x 7 x 7 x 7

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

LCM = 8462496 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 257

Step 4: Therefore, the least common multiple of 8224 and 8232 is 8462496.