Least Common Multiple of 9480 and 9484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9480 and 9484 the smallest integer that is 22477080 that is divisible by both numbers.

Least Common Multiple (LCM) of 9480 and 9484 is 22477080.

LCM(9480,9484) = 22477080

LCM of 9480 and 9484

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

LCM of:
and

Least Common Multiple of 9480 and 9484

LCM of 9480 and 9484 is 22477080

Least common multiple can be found by multiplying the highest exponent prime factors of 9480 and 9484. First we will calculate the prime factors of 9480 and 9484.

Prime Factorization of 9480


2 9480
2 4740
2 2370
3 1185
5 395
79 79
1

Prime factors of 9480 are 2, 3, 5,79. Prime factorization of 9480 in exponential form is:

9480 = 23×31×51×791

Prime Factorization of 9484


2 9484
2 4742
2371 2371
1

Prime factors of 9484 are 2,2371. Prime factorization of 9484 in exponential form is:

9484 = 22×23711

Now multiplying the highest exponent prime factors to calculate the LCM of 9480 and 9484.

LCM(9480,9484) = 23×31×51×791×23711
LCM(9480,9484) = 22477080

Factors of 9480

List of positive integer factors of 9480 that divides 9480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480

Factors of 9484

List of positive integer factors of 9484 that divides 9484 without a remainder.

1, 2, 4, 2371, 4742, 9484

Least Common Multiple of 9480 and 9484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9480 and 9484, than apply into the LCM equation.

GCF(9480,9484) = 4
LCM(9480,9484) = ( 9480 × 9484) / 4
LCM(9480,9484) = 89908320 / 4
LCM(9480,9484) = 22477080

Properties of LCM 9480 and 9484

(i) The LCM of 9484 and 9480 is associative

LCM of 9480 and 9484 = LCM of 9484 and 9480

Related Least Common Multiples of 9480

Related Least Common Multiples of 9484

Frequently Asked Questions on LCM of 9480 and 9484

1. What is the LCM of 9480 and 9484?

Answer: LCM of 9480 and 9484 is 22477080.

2. What are the Factors of 9480?

Answer: Factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480. There are 32 integers that are factors of 9480. The greatest factor of 9480 is 9480.

3. What are the Factors of 9484?

Answer: Factors of 9484 are 1, 2, 4, 2371, 4742, 9484. There are 6 integers that are factors of 9484. The greatest factor of 9484 is 9484.

4. How to Find the LCM of 9480 and 9484?

Answer:

Least Common Multiple of 9480 and 9484 = 22477080

Step 1: Find the prime factorization of 9480

9480 = 2 x 2 x 2 x 3 x 5 x 79

Step 2: Find the prime factorization of 9484

9484 = 2 x 2 x 2371

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

LCM = 22477080 = 2 x 2 x 2 x 3 x 5 x 79 x 2371

Step 4: Therefore, the least common multiple of 9480 and 9484 is 22477080.