Least Common Multiple of 8217 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 8217 and 8224 the smallest integer that is 67576608 that is divisible by both numbers.

Least Common Multiple (LCM) of 8217 and 8224 is 67576608.

LCM(8217,8224) = 67576608

LCM of 8217 and 8224

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

LCM of:
and

Least Common Multiple of 8217 and 8224

LCM of 8217 and 8224 is 67576608

Least common multiple can be found by multiplying the highest exponent prime factors of 8217 and 8224. First we will calculate the prime factors of 8217 and 8224.

Prime Factorization of 8217


3 8217
3 2739
11 913
83 83
1

Prime factors of 8217 are 3, 11,83. Prime factorization of 8217 in exponential form is:

8217 = 32×111×831

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 8217 and 8224.

LCM(8217,8224) = 25×32×111×831×2571
LCM(8217,8224) = 67576608

Factors of 8217

List of positive integer factors of 8217 that divides 8217 without a remainder.

1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217

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 8217 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 8217 and 8224, than apply into the LCM equation.

GCF(8217,8224) = 1
LCM(8217,8224) = ( 8217 × 8224) / 1
LCM(8217,8224) = 67576608 / 1
LCM(8217,8224) = 67576608

Properties of LCM 8217 and 8224

(i) The LCM of 8224 and 8217 is associative

LCM of 8217 and 8224 = LCM of 8224 and 8217

Related Least Common Multiples of 8217

Related Least Common Multiples of 8224

Frequently Asked Questions on LCM of 8217 and 8224

1. What is the LCM of 8217 and 8224?

Answer: LCM of 8217 and 8224 is 67576608.

2. What are the Factors of 8217?

Answer: Factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217. There are 12 integers that are factors of 8217. The greatest factor of 8217 is 8217.

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 8217 and 8224?

Answer:

Least Common Multiple of 8217 and 8224 = 67576608

Step 1: Find the prime factorization of 8217

8217 = 3 x 3 x 11 x 83

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 = 67576608 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 83 x 257

Step 4: Therefore, the least common multiple of 8217 and 8224 is 67576608.