Least Common Multiple of 9480 and 9487

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 9487 the smallest integer that is 89936760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9480 and 9487 is 89936760.

LCM(9480,9487) = 89936760

LCM of 9480 and 9487

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

LCM of:
and

Least Common Multiple of 9480 and 9487

LCM of 9480 and 9487 is 89936760

Least common multiple can be found by multiplying the highest exponent prime factors of 9480 and 9487. First we will calculate the prime factors of 9480 and 9487.

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 9487


53 9487
179 179
1

Prime factors of 9487 are 53,179. Prime factorization of 9487 in exponential form is:

9487 = 531×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9480 and 9487.

LCM(9480,9487) = 23×31×51×531×791×1791
LCM(9480,9487) = 89936760

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 9487

List of positive integer factors of 9487 that divides 9487 without a remainder.

1, 53, 179, 9487

Least Common Multiple of 9480 and 9487 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 9487, than apply into the LCM equation.

GCF(9480,9487) = 1
LCM(9480,9487) = ( 9480 × 9487) / 1
LCM(9480,9487) = 89936760 / 1
LCM(9480,9487) = 89936760

Properties of LCM 9480 and 9487

(i) The LCM of 9487 and 9480 is associative

LCM of 9480 and 9487 = LCM of 9487 and 9480

Related Least Common Multiples of 9480

Related Least Common Multiples of 9487

Frequently Asked Questions on LCM of 9480 and 9487

1. What is the LCM of 9480 and 9487?

Answer: LCM of 9480 and 9487 is 89936760.

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 9487?

Answer: Factors of 9487 are 1, 53, 179, 9487. There are 4 integers that are factors of 9487. The greatest factor of 9487 is 9487.

4. How to Find the LCM of 9480 and 9487?

Answer:

Least Common Multiple of 9480 and 9487 = 89936760

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 9487

9487 = 53 x 179

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

LCM = 89936760 = 2 x 2 x 2 x 3 x 5 x 53 x 79 x 179

Step 4: Therefore, the least common multiple of 9480 and 9487 is 89936760.