Least Common Multiple of 9480 and 9485

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 9485 the smallest integer that is 17983560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9480 and 9485 is 17983560.

LCM(9480,9485) = 17983560

LCM of 9480 and 9485

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

LCM of:
and

Least Common Multiple of 9480 and 9485

LCM of 9480 and 9485 is 17983560

Least common multiple can be found by multiplying the highest exponent prime factors of 9480 and 9485. First we will calculate the prime factors of 9480 and 9485.

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 9485


5 9485
7 1897
271 271
1

Prime factors of 9485 are 5, 7,271. Prime factorization of 9485 in exponential form is:

9485 = 51×71×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 9480 and 9485.

LCM(9480,9485) = 23×31×51×71×791×2711
LCM(9480,9485) = 17983560

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 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1, 5, 7, 35, 271, 1355, 1897, 9485

Least Common Multiple of 9480 and 9485 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 9485, than apply into the LCM equation.

GCF(9480,9485) = 5
LCM(9480,9485) = ( 9480 × 9485) / 5
LCM(9480,9485) = 89917800 / 5
LCM(9480,9485) = 17983560

Properties of LCM 9480 and 9485

(i) The LCM of 9485 and 9480 is associative

LCM of 9480 and 9485 = LCM of 9485 and 9480

Related Least Common Multiples of 9480

Related Least Common Multiples of 9485

Frequently Asked Questions on LCM of 9480 and 9485

1. What is the LCM of 9480 and 9485?

Answer: LCM of 9480 and 9485 is 17983560.

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 9485?

Answer: Factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485. There are 8 integers that are factors of 9485. The greatest factor of 9485 is 9485.

4. How to Find the LCM of 9480 and 9485?

Answer:

Least Common Multiple of 9480 and 9485 = 17983560

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 9485

9485 = 5 x 7 x 271

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

LCM = 17983560 = 2 x 2 x 2 x 3 x 5 x 7 x 79 x 271

Step 4: Therefore, the least common multiple of 9480 and 9485 is 17983560.