Least Common Multiple of 8216 and 8224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8216 and 8224 the smallest integer that is 8446048 that is divisible by both numbers.

Least Common Multiple (LCM) of 8216 and 8224 is 8446048.

LCM(8216,8224) = 8446048

LCM of 8216 and 8224

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

LCM of:
and

Least Common Multiple of 8216 and 8224

LCM of 8216 and 8224 is 8446048

Least common multiple can be found by multiplying the highest exponent prime factors of 8216 and 8224. First we will calculate the prime factors of 8216 and 8224.

Prime Factorization of 8216


2 8216
2 4108
2 2054
13 1027
79 79
1

Prime factors of 8216 are 2, 13,79. Prime factorization of 8216 in exponential form is:

8216 = 23×131×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8216 and 8224.

LCM(8216,8224) = 25×131×791×2571
LCM(8216,8224) = 8446048

Factors of 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216

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

Least Common Multiple of 8216 and 8224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8216 and 8224, than apply into the LCM equation.

GCF(8216,8224) = 8
LCM(8216,8224) = ( 8216 × 8224) / 8
LCM(8216,8224) = 67568384 / 8
LCM(8216,8224) = 8446048

Properties of LCM 8216 and 8224

(i) The LCM of 8224 and 8216 is associative

LCM of 8216 and 8224 = LCM of 8224 and 8216

Related Least Common Multiples of 8216

Related Least Common Multiples of 8224

Frequently Asked Questions on LCM of 8216 and 8224

1. What is the LCM of 8216 and 8224?

Answer: LCM of 8216 and 8224 is 8446048.

2. What are the Factors of 8216?

Answer: Factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216. There are 16 integers that are factors of 8216. The greatest factor of 8216 is 8216.

3. 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.

4. How to Find the LCM of 8216 and 8224?

Answer:

Least Common Multiple of 8216 and 8224 = 8446048

Step 1: Find the prime factorization of 8216

8216 = 2 x 2 x 2 x 13 x 79

Step 2: Find the prime factorization of 8224

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

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

LCM = 8446048 = 2 x 2 x 2 x 2 x 2 x 13 x 79 x 257

Step 4: Therefore, the least common multiple of 8216 and 8224 is 8446048.