Least Common Multiple of 9480 and 9488

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 9488 the smallest integer that is 11243280 that is divisible by both numbers.

Least Common Multiple (LCM) of 9480 and 9488 is 11243280.

LCM(9480,9488) = 11243280

LCM of 9480 and 9488

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

LCM of:
and

Least Common Multiple of 9480 and 9488

LCM of 9480 and 9488 is 11243280

Least common multiple can be found by multiplying the highest exponent prime factors of 9480 and 9488. First we will calculate the prime factors of 9480 and 9488.

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 9488


2 9488
2 4744
2 2372
2 1186
593 593
1

Prime factors of 9488 are 2,593. Prime factorization of 9488 in exponential form is:

9488 = 24×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 9480 and 9488.

LCM(9480,9488) = 24×31×51×791×5931
LCM(9480,9488) = 11243280

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 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488

Least Common Multiple of 9480 and 9488 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 9488, than apply into the LCM equation.

GCF(9480,9488) = 8
LCM(9480,9488) = ( 9480 × 9488) / 8
LCM(9480,9488) = 89946240 / 8
LCM(9480,9488) = 11243280

Properties of LCM 9480 and 9488

(i) The LCM of 9488 and 9480 is associative

LCM of 9480 and 9488 = LCM of 9488 and 9480

Related Least Common Multiples of 9480

Related Least Common Multiples of 9488

Frequently Asked Questions on LCM of 9480 and 9488

1. What is the LCM of 9480 and 9488?

Answer: LCM of 9480 and 9488 is 11243280.

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 9488?

Answer: Factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488. There are 10 integers that are factors of 9488. The greatest factor of 9488 is 9488.

4. How to Find the LCM of 9480 and 9488?

Answer:

Least Common Multiple of 9480 and 9488 = 11243280

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 9488

9488 = 2 x 2 x 2 x 2 x 593

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

LCM = 11243280 = 2 x 2 x 2 x 2 x 3 x 5 x 79 x 593

Step 4: Therefore, the least common multiple of 9480 and 9488 is 11243280.