Least Common Multiple of 9216 and 9220

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 9220 the smallest integer that is 21242880 that is divisible by both numbers.

Least Common Multiple (LCM) of 9216 and 9220 is 21242880.

LCM(9216,9220) = 21242880

LCM of 9216 and 9220

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

LCM of:
and

Least Common Multiple of 9216 and 9220

LCM of 9216 and 9220 is 21242880

Least common multiple can be found by multiplying the highest exponent prime factors of 9216 and 9220. First we will calculate the prime factors of 9216 and 9220.

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 9220


2 9220
2 4610
5 2305
461 461
1

Prime factors of 9220 are 2, 5,461. Prime factorization of 9220 in exponential form is:

9220 = 22×51×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 9216 and 9220.

LCM(9216,9220) = 210×32×51×4611
LCM(9216,9220) = 21242880

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 9220

List of positive integer factors of 9220 that divides 9220 without a remainder.

1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220

Least Common Multiple of 9216 and 9220 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 9220, than apply into the LCM equation.

GCF(9216,9220) = 4
LCM(9216,9220) = ( 9216 × 9220) / 4
LCM(9216,9220) = 84971520 / 4
LCM(9216,9220) = 21242880

Properties of LCM 9216 and 9220

(i) The LCM of 9220 and 9216 is associative

LCM of 9216 and 9220 = LCM of 9220 and 9216

Related Least Common Multiples of 9216

Related Least Common Multiples of 9220

Frequently Asked Questions on LCM of 9216 and 9220

1. What is the LCM of 9216 and 9220?

Answer: LCM of 9216 and 9220 is 21242880.

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 9220?

Answer: Factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220. There are 12 integers that are factors of 9220. The greatest factor of 9220 is 9220.

4. How to Find the LCM of 9216 and 9220?

Answer:

Least Common Multiple of 9216 and 9220 = 21242880

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 9220

9220 = 2 x 2 x 5 x 461

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

LCM = 21242880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 461

Step 4: Therefore, the least common multiple of 9216 and 9220 is 21242880.