Least Common Multiple of 9475 and 9480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9475 and 9480 the smallest integer that is 17964600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9475 and 9480 is 17964600.

LCM(9475,9480) = 17964600

LCM of 9475 and 9480

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

LCM of:
and

Least Common Multiple of 9475 and 9480

LCM of 9475 and 9480 is 17964600

Least common multiple can be found by multiplying the highest exponent prime factors of 9475 and 9480. First we will calculate the prime factors of 9475 and 9480.

Prime Factorization of 9475


5 9475
5 1895
379 379
1

Prime factors of 9475 are 5,379. Prime factorization of 9475 in exponential form is:

9475 = 52×3791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9475 and 9480.

LCM(9475,9480) = 23×31×52×791×3791
LCM(9475,9480) = 17964600

Factors of 9475

List of positive integer factors of 9475 that divides 9475 without a remainder.

1, 5, 25, 379, 1895, 9475

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

Least Common Multiple of 9475 and 9480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9475 and 9480, than apply into the LCM equation.

GCF(9475,9480) = 5
LCM(9475,9480) = ( 9475 × 9480) / 5
LCM(9475,9480) = 89823000 / 5
LCM(9475,9480) = 17964600

Properties of LCM 9475 and 9480

(i) The LCM of 9480 and 9475 is associative

LCM of 9475 and 9480 = LCM of 9480 and 9475

Related Least Common Multiples of 9475

Related Least Common Multiples of 9480

Frequently Asked Questions on LCM of 9475 and 9480

1. What is the LCM of 9475 and 9480?

Answer: LCM of 9475 and 9480 is 17964600.

2. What are the Factors of 9475?

Answer: Factors of 9475 are 1, 5, 25, 379, 1895, 9475. There are 6 integers that are factors of 9475. The greatest factor of 9475 is 9475.

3. 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.

4. How to Find the LCM of 9475 and 9480?

Answer:

Least Common Multiple of 9475 and 9480 = 17964600

Step 1: Find the prime factorization of 9475

9475 = 5 x 5 x 379

Step 2: Find the prime factorization of 9480

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

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

LCM = 17964600 = 2 x 2 x 2 x 3 x 5 x 5 x 79 x 379

Step 4: Therefore, the least common multiple of 9475 and 9480 is 17964600.