Least Common Multiple of 9216 and 9221

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 9221 the smallest integer that is 84980736 that is divisible by both numbers.

Least Common Multiple (LCM) of 9216 and 9221 is 84980736.

LCM(9216,9221) = 84980736

LCM of 9216 and 9221

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

LCM of:
and

Least Common Multiple of 9216 and 9221

LCM of 9216 and 9221 is 84980736

Least common multiple can be found by multiplying the highest exponent prime factors of 9216 and 9221. First we will calculate the prime factors of 9216 and 9221.

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 9221


9221 9221
1

Prime factors of 9221 are 9221. Prime factorization of 9221 in exponential form is:

9221 = 92211

Now multiplying the highest exponent prime factors to calculate the LCM of 9216 and 9221.

LCM(9216,9221) = 210×32×92211
LCM(9216,9221) = 84980736

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 9221

List of positive integer factors of 9221 that divides 9221 without a remainder.

1, 9221

Least Common Multiple of 9216 and 9221 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 9221, than apply into the LCM equation.

GCF(9216,9221) = 1
LCM(9216,9221) = ( 9216 × 9221) / 1
LCM(9216,9221) = 84980736 / 1
LCM(9216,9221) = 84980736

Properties of LCM 9216 and 9221

(i) The LCM of 9221 and 9216 is associative

LCM of 9216 and 9221 = LCM of 9221 and 9216

Related Least Common Multiples of 9216

Related Least Common Multiples of 9221

Frequently Asked Questions on LCM of 9216 and 9221

1. What is the LCM of 9216 and 9221?

Answer: LCM of 9216 and 9221 is 84980736.

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 9221?

Answer: Factors of 9221 are 1, 9221. There are 2 integers that are factors of 9221. The greatest factor of 9221 is 9221.

4. How to Find the LCM of 9216 and 9221?

Answer:

Least Common Multiple of 9216 and 9221 = 84980736

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 9221

9221 = 9221

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

LCM = 84980736 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 9221

Step 4: Therefore, the least common multiple of 9216 and 9221 is 84980736.