Least Common Multiple of 9120 and 9124

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 9124 the smallest integer that is 20802720 that is divisible by both numbers.

Least Common Multiple (LCM) of 9120 and 9124 is 20802720.

LCM(9120,9124) = 20802720

LCM of 9120 and 9124

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

LCM of:
and

Least Common Multiple of 9120 and 9124

LCM of 9120 and 9124 is 20802720

Least common multiple can be found by multiplying the highest exponent prime factors of 9120 and 9124. First we will calculate the prime factors of 9120 and 9124.

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 9124


2 9124
2 4562
2281 2281
1

Prime factors of 9124 are 2,2281. Prime factorization of 9124 in exponential form is:

9124 = 22×22811

Now multiplying the highest exponent prime factors to calculate the LCM of 9120 and 9124.

LCM(9120,9124) = 25×31×51×191×22811
LCM(9120,9124) = 20802720

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 9124

List of positive integer factors of 9124 that divides 9124 without a remainder.

1, 2, 4, 2281, 4562, 9124

Least Common Multiple of 9120 and 9124 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 9124, than apply into the LCM equation.

GCF(9120,9124) = 4
LCM(9120,9124) = ( 9120 × 9124) / 4
LCM(9120,9124) = 83210880 / 4
LCM(9120,9124) = 20802720

Properties of LCM 9120 and 9124

(i) The LCM of 9124 and 9120 is associative

LCM of 9120 and 9124 = LCM of 9124 and 9120

Related Least Common Multiples of 9120

Related Least Common Multiples of 9124

Frequently Asked Questions on LCM of 9120 and 9124

1. What is the LCM of 9120 and 9124?

Answer: LCM of 9120 and 9124 is 20802720.

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 9124?

Answer: Factors of 9124 are 1, 2, 4, 2281, 4562, 9124. There are 6 integers that are factors of 9124. The greatest factor of 9124 is 9124.

4. How to Find the LCM of 9120 and 9124?

Answer:

Least Common Multiple of 9120 and 9124 = 20802720

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 9124

9124 = 2 x 2 x 2281

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

LCM = 20802720 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 x 2281

Step 4: Therefore, the least common multiple of 9120 and 9124 is 20802720.