Least Common Multiple of 9112 and 9120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9112 and 9120 the smallest integer that is 10387680 that is divisible by both numbers.

Least Common Multiple (LCM) of 9112 and 9120 is 10387680.

LCM(9112,9120) = 10387680

LCM of 9112 and 9120

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

LCM of:
and

Least Common Multiple of 9112 and 9120

LCM of 9112 and 9120 is 10387680

Least common multiple can be found by multiplying the highest exponent prime factors of 9112 and 9120. First we will calculate the prime factors of 9112 and 9120.

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

Prime Factorization of 9120


2 9120
2 4560
2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 9120 are 2, 3, 5,19. Prime factorization of 9120 in exponential form is:

9120 = 25×31×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9112 and 9120.

LCM(9112,9120) = 25×31×51×171×191×671
LCM(9112,9120) = 10387680

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

Factors of 9120

List of positive integer factors of 9120 that divides 9120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120

Least Common Multiple of 9112 and 9120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9112 and 9120, than apply into the LCM equation.

GCF(9112,9120) = 8
LCM(9112,9120) = ( 9112 × 9120) / 8
LCM(9112,9120) = 83101440 / 8
LCM(9112,9120) = 10387680

Properties of LCM 9112 and 9120

(i) The LCM of 9120 and 9112 is associative

LCM of 9112 and 9120 = LCM of 9120 and 9112

Related Least Common Multiples of 9112

Related Least Common Multiples of 9120

Frequently Asked Questions on LCM of 9112 and 9120

1. What is the LCM of 9112 and 9120?

Answer: LCM of 9112 and 9120 is 10387680.

2. 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.

3. What are the Factors of 9120?

Answer: Factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120. There are 48 integers that are factors of 9120. The greatest factor of 9120 is 9120.

4. How to Find the LCM of 9112 and 9120?

Answer:

Least Common Multiple of 9112 and 9120 = 10387680

Step 1: Find the prime factorization of 9112

9112 = 2 x 2 x 2 x 17 x 67

Step 2: Find the prime factorization of 9120

9120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19

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

LCM = 10387680 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 19 x 67

Step 4: Therefore, the least common multiple of 9112 and 9120 is 10387680.