Least Common Multiple of 9210 and 9216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9210 and 9216 the smallest integer that is 14146560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9210 and 9216 is 14146560.

LCM(9210,9216) = 14146560

LCM of 9210 and 9216

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

LCM of:
and

Least Common Multiple of 9210 and 9216

LCM of 9210 and 9216 is 14146560

Least common multiple can be found by multiplying the highest exponent prime factors of 9210 and 9216. First we will calculate the prime factors of 9210 and 9216.

Prime Factorization of 9210


2 9210
3 4605
5 1535
307 307
1

Prime factors of 9210 are 2, 3, 5,307. Prime factorization of 9210 in exponential form is:

9210 = 21×31×51×3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9210 and 9216.

LCM(9210,9216) = 210×32×51×3071
LCM(9210,9216) = 14146560

Factors of 9210

List of positive integer factors of 9210 that divides 9210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210

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

Least Common Multiple of 9210 and 9216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9210 and 9216, than apply into the LCM equation.

GCF(9210,9216) = 6
LCM(9210,9216) = ( 9210 × 9216) / 6
LCM(9210,9216) = 84879360 / 6
LCM(9210,9216) = 14146560

Properties of LCM 9210 and 9216

(i) The LCM of 9216 and 9210 is associative

LCM of 9210 and 9216 = LCM of 9216 and 9210

Related Least Common Multiples of 9210

Related Least Common Multiples of 9216

Frequently Asked Questions on LCM of 9210 and 9216

1. What is the LCM of 9210 and 9216?

Answer: LCM of 9210 and 9216 is 14146560.

2. What are the Factors of 9210?

Answer: Factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210. There are 16 integers that are factors of 9210. The greatest factor of 9210 is 9210.

3. 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.

4. How to Find the LCM of 9210 and 9216?

Answer:

Least Common Multiple of 9210 and 9216 = 14146560

Step 1: Find the prime factorization of 9210

9210 = 2 x 3 x 5 x 307

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 14146560 = 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 307

Step 4: Therefore, the least common multiple of 9210 and 9216 is 14146560.