Least Common Multiple of 9120 and 9128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9120 and 9128 the smallest integer that is 10405920 that is divisible by both numbers.

Least Common Multiple (LCM) of 9120 and 9128 is 10405920.

LCM(9120,9128) = 10405920

LCM of 9120 and 9128

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

LCM of:
and

Least Common Multiple of 9120 and 9128

LCM of 9120 and 9128 is 10405920

Least common multiple can be found by multiplying the highest exponent prime factors of 9120 and 9128. First we will calculate the prime factors of 9120 and 9128.

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

Prime Factorization of 9128


2 9128
2 4564
2 2282
7 1141
163 163
1

Prime factors of 9128 are 2, 7,163. Prime factorization of 9128 in exponential form is:

9128 = 23×71×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9120 and 9128.

LCM(9120,9128) = 25×31×51×71×191×1631
LCM(9120,9128) = 10405920

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

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128

Least Common Multiple of 9120 and 9128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9120 and 9128, than apply into the LCM equation.

GCF(9120,9128) = 8
LCM(9120,9128) = ( 9120 × 9128) / 8
LCM(9120,9128) = 83247360 / 8
LCM(9120,9128) = 10405920

Properties of LCM 9120 and 9128

(i) The LCM of 9128 and 9120 is associative

LCM of 9120 and 9128 = LCM of 9128 and 9120

Related Least Common Multiples of 9120

Related Least Common Multiples of 9128

Frequently Asked Questions on LCM of 9120 and 9128

1. What is the LCM of 9120 and 9128?

Answer: LCM of 9120 and 9128 is 10405920.

2. 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.

3. What are the Factors of 9128?

Answer: Factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128. There are 16 integers that are factors of 9128. The greatest factor of 9128 is 9128.

4. How to Find the LCM of 9120 and 9128?

Answer:

Least Common Multiple of 9120 and 9128 = 10405920

Step 1: Find the prime factorization of 9120

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

Step 2: Find the prime factorization of 9128

9128 = 2 x 2 x 2 x 7 x 163

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

LCM = 10405920 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 x 163

Step 4: Therefore, the least common multiple of 9120 and 9128 is 10405920.