Least Common Multiple of 9108 and 9112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9108 and 9112 the smallest integer that is 20748024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9108 and 9112 is 20748024.

LCM(9108,9112) = 20748024

LCM of 9108 and 9112

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

LCM of:
and

Least Common Multiple of 9108 and 9112

LCM of 9108 and 9112 is 20748024

Least common multiple can be found by multiplying the highest exponent prime factors of 9108 and 9112. First we will calculate the prime factors of 9108 and 9112.

Prime Factorization of 9108


2 9108
2 4554
3 2277
3 759
11 253
23 23
1

Prime factors of 9108 are 2, 3, 11,23. Prime factorization of 9108 in exponential form is:

9108 = 22×32×111×231

Prime Factorization of 9112


2 9112
2 4556
2 2278
17 1139
67 67
1

Prime factors of 9112 are 2, 17,67. Prime factorization of 9112 in exponential form is:

9112 = 23×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9108 and 9112.

LCM(9108,9112) = 23×32×111×171×231×671
LCM(9108,9112) = 20748024

Factors of 9108

List of positive integer factors of 9108 that divides 9108 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108

Factors of 9112

List of positive integer factors of 9112 that divides 9112 without a remainder.

1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112

Least Common Multiple of 9108 and 9112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9108 and 9112, than apply into the LCM equation.

GCF(9108,9112) = 4
LCM(9108,9112) = ( 9108 × 9112) / 4
LCM(9108,9112) = 82992096 / 4
LCM(9108,9112) = 20748024

Properties of LCM 9108 and 9112

(i) The LCM of 9112 and 9108 is associative

LCM of 9108 and 9112 = LCM of 9112 and 9108

Related Least Common Multiples of 9108

Related Least Common Multiples of 9112

Frequently Asked Questions on LCM of 9108 and 9112

1. What is the LCM of 9108 and 9112?

Answer: LCM of 9108 and 9112 is 20748024.

2. What are the Factors of 9108?

Answer: Factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108. There are 36 integers that are factors of 9108. The greatest factor of 9108 is 9108.

3. What are the Factors of 9112?

Answer: Factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112. There are 16 integers that are factors of 9112. The greatest factor of 9112 is 9112.

4. How to Find the LCM of 9108 and 9112?

Answer:

Least Common Multiple of 9108 and 9112 = 20748024

Step 1: Find the prime factorization of 9108

9108 = 2 x 2 x 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 9112

9112 = 2 x 2 x 2 x 17 x 67

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

LCM = 20748024 = 2 x 2 x 2 x 3 x 3 x 11 x 17 x 23 x 67

Step 4: Therefore, the least common multiple of 9108 and 9112 is 20748024.