Least Common Multiple of 9484 and 9490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9484 and 9490 the smallest integer that is 45001580 that is divisible by both numbers.

Least Common Multiple (LCM) of 9484 and 9490 is 45001580.

LCM(9484,9490) = 45001580

LCM of 9484 and 9490

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

LCM of:
and

Least Common Multiple of 9484 and 9490

LCM of 9484 and 9490 is 45001580

Least common multiple can be found by multiplying the highest exponent prime factors of 9484 and 9490. First we will calculate the prime factors of 9484 and 9490.

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

Prime Factorization of 9490


2 9490
5 4745
13 949
73 73
1

Prime factors of 9490 are 2, 5, 13,73. Prime factorization of 9490 in exponential form is:

9490 = 21×51×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9484 and 9490.

LCM(9484,9490) = 22×51×131×731×23711
LCM(9484,9490) = 45001580

Factors of 9484

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

1, 2, 4, 2371, 4742, 9484

Factors of 9490

List of positive integer factors of 9490 that divides 9490 without a remainder.

1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490

Least Common Multiple of 9484 and 9490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9484 and 9490, than apply into the LCM equation.

GCF(9484,9490) = 2
LCM(9484,9490) = ( 9484 × 9490) / 2
LCM(9484,9490) = 90003160 / 2
LCM(9484,9490) = 45001580

Properties of LCM 9484 and 9490

(i) The LCM of 9490 and 9484 is associative

LCM of 9484 and 9490 = LCM of 9490 and 9484

Related Least Common Multiples of 9484

Related Least Common Multiples of 9490

Frequently Asked Questions on LCM of 9484 and 9490

1. What is the LCM of 9484 and 9490?

Answer: LCM of 9484 and 9490 is 45001580.

2. 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.

3. What are the Factors of 9490?

Answer: Factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490. There are 16 integers that are factors of 9490. The greatest factor of 9490 is 9490.

4. How to Find the LCM of 9484 and 9490?

Answer:

Least Common Multiple of 9484 and 9490 = 45001580

Step 1: Find the prime factorization of 9484

9484 = 2 x 2 x 2371

Step 2: Find the prime factorization of 9490

9490 = 2 x 5 x 13 x 73

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

LCM = 45001580 = 2 x 2 x 5 x 13 x 73 x 2371

Step 4: Therefore, the least common multiple of 9484 and 9490 is 45001580.