Least Common Multiple of 9120 and 9126

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 9126 the smallest integer that is 13871520 that is divisible by both numbers.

Least Common Multiple (LCM) of 9120 and 9126 is 13871520.

LCM(9120,9126) = 13871520

LCM of 9120 and 9126

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

LCM of:
and

Least Common Multiple of 9120 and 9126

LCM of 9120 and 9126 is 13871520

Least common multiple can be found by multiplying the highest exponent prime factors of 9120 and 9126. First we will calculate the prime factors of 9120 and 9126.

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 9126


2 9126
3 4563
3 1521
3 507
13 169
13 13
1

Prime factors of 9126 are 2, 3,13. Prime factorization of 9126 in exponential form is:

9126 = 21×33×132

Now multiplying the highest exponent prime factors to calculate the LCM of 9120 and 9126.

LCM(9120,9126) = 25×33×51×132×191
LCM(9120,9126) = 13871520

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 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126

Least Common Multiple of 9120 and 9126 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 9126, than apply into the LCM equation.

GCF(9120,9126) = 6
LCM(9120,9126) = ( 9120 × 9126) / 6
LCM(9120,9126) = 83229120 / 6
LCM(9120,9126) = 13871520

Properties of LCM 9120 and 9126

(i) The LCM of 9126 and 9120 is associative

LCM of 9120 and 9126 = LCM of 9126 and 9120

Related Least Common Multiples of 9120

Related Least Common Multiples of 9126

Frequently Asked Questions on LCM of 9120 and 9126

1. What is the LCM of 9120 and 9126?

Answer: LCM of 9120 and 9126 is 13871520.

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 9126?

Answer: Factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126. There are 24 integers that are factors of 9126. The greatest factor of 9126 is 9126.

4. How to Find the LCM of 9120 and 9126?

Answer:

Least Common Multiple of 9120 and 9126 = 13871520

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 9126

9126 = 2 x 3 x 3 x 3 x 13 x 13

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

LCM = 13871520 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 13 x 19

Step 4: Therefore, the least common multiple of 9120 and 9126 is 13871520.