Least Common Multiple of 9216 and 9224

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 9224 the smallest integer that is 10626048 that is divisible by both numbers.

Least Common Multiple (LCM) of 9216 and 9224 is 10626048.

LCM(9216,9224) = 10626048

LCM of 9216 and 9224

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

LCM of:
and

Least Common Multiple of 9216 and 9224

LCM of 9216 and 9224 is 10626048

Least common multiple can be found by multiplying the highest exponent prime factors of 9216 and 9224. First we will calculate the prime factors of 9216 and 9224.

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 9224


2 9224
2 4612
2 2306
1153 1153
1

Prime factors of 9224 are 2,1153. Prime factorization of 9224 in exponential form is:

9224 = 23×11531

Now multiplying the highest exponent prime factors to calculate the LCM of 9216 and 9224.

LCM(9216,9224) = 210×32×11531
LCM(9216,9224) = 10626048

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 9224

List of positive integer factors of 9224 that divides 9224 without a remainder.

1, 2, 4, 8, 1153, 2306, 4612, 9224

Least Common Multiple of 9216 and 9224 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 9224, than apply into the LCM equation.

GCF(9216,9224) = 8
LCM(9216,9224) = ( 9216 × 9224) / 8
LCM(9216,9224) = 85008384 / 8
LCM(9216,9224) = 10626048

Properties of LCM 9216 and 9224

(i) The LCM of 9224 and 9216 is associative

LCM of 9216 and 9224 = LCM of 9224 and 9216

Related Least Common Multiples of 9216

Related Least Common Multiples of 9224

Frequently Asked Questions on LCM of 9216 and 9224

1. What is the LCM of 9216 and 9224?

Answer: LCM of 9216 and 9224 is 10626048.

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 9224?

Answer: Factors of 9224 are 1, 2, 4, 8, 1153, 2306, 4612, 9224. There are 8 integers that are factors of 9224. The greatest factor of 9224 is 9224.

4. How to Find the LCM of 9216 and 9224?

Answer:

Least Common Multiple of 9216 and 9224 = 10626048

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 9224

9224 = 2 x 2 x 2 x 1153

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

LCM = 10626048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1153

Step 4: Therefore, the least common multiple of 9216 and 9224 is 10626048.