Least Common Multiple of 9216 and 9223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9216 and 9223 the smallest integer that is 84999168 that is divisible by both numbers.

Least Common Multiple (LCM) of 9216 and 9223 is 84999168.

LCM(9216,9223) = 84999168

LCM of 9216 and 9223

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

LCM of:
and

Least Common Multiple of 9216 and 9223

LCM of 9216 and 9223 is 84999168

Least common multiple can be found by multiplying the highest exponent prime factors of 9216 and 9223. First we will calculate the prime factors of 9216 and 9223.

Prime Factorization of 9216


2 9216
2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 9216 are 2,3. Prime factorization of 9216 in exponential form is:

9216 = 210×32

Prime Factorization of 9223


23 9223
401 401
1

Prime factors of 9223 are 23,401. Prime factorization of 9223 in exponential form is:

9223 = 231×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 9216 and 9223.

LCM(9216,9223) = 210×32×231×4011
LCM(9216,9223) = 84999168

Factors of 9216

List of positive integer factors of 9216 that divides 9216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216

Factors of 9223

List of positive integer factors of 9223 that divides 9223 without a remainder.

1, 23, 401, 9223

Least Common Multiple of 9216 and 9223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9216 and 9223, than apply into the LCM equation.

GCF(9216,9223) = 1
LCM(9216,9223) = ( 9216 × 9223) / 1
LCM(9216,9223) = 84999168 / 1
LCM(9216,9223) = 84999168

Properties of LCM 9216 and 9223

(i) The LCM of 9223 and 9216 is associative

LCM of 9216 and 9223 = LCM of 9223 and 9216

Related Least Common Multiples of 9216

Related Least Common Multiples of 9223

Frequently Asked Questions on LCM of 9216 and 9223

1. What is the LCM of 9216 and 9223?

Answer: LCM of 9216 and 9223 is 84999168.

2. What are the Factors of 9216?

Answer: Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216. There are 33 integers that are factors of 9216. The greatest factor of 9216 is 9216.

3. What are the Factors of 9223?

Answer: Factors of 9223 are 1, 23, 401, 9223. There are 4 integers that are factors of 9223. The greatest factor of 9223 is 9223.

4. How to Find the LCM of 9216 and 9223?

Answer:

Least Common Multiple of 9216 and 9223 = 84999168

Step 1: Find the prime factorization of 9216

9216 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 9223

9223 = 23 x 401

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

LCM = 84999168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 401

Step 4: Therefore, the least common multiple of 9216 and 9223 is 84999168.