Least Common Multiple of 9549 and 9555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9549 and 9555 the smallest integer that is 30413565 that is divisible by both numbers.

Least Common Multiple (LCM) of 9549 and 9555 is 30413565.

LCM(9549,9555) = 30413565

LCM of 9549 and 9555

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

LCM of:
and

Least Common Multiple of 9549 and 9555

LCM of 9549 and 9555 is 30413565

Least common multiple can be found by multiplying the highest exponent prime factors of 9549 and 9555. First we will calculate the prime factors of 9549 and 9555.

Prime Factorization of 9549


3 9549
3 3183
1061 1061
1

Prime factors of 9549 are 3,1061. Prime factorization of 9549 in exponential form is:

9549 = 32×10611

Prime Factorization of 9555


3 9555
5 3185
7 637
7 91
13 13
1

Prime factors of 9555 are 3, 5, 7,13. Prime factorization of 9555 in exponential form is:

9555 = 31×51×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9549 and 9555.

LCM(9549,9555) = 32×51×72×131×10611
LCM(9549,9555) = 30413565

Factors of 9549

List of positive integer factors of 9549 that divides 9549 without a remainder.

1, 3, 9, 1061, 3183, 9549

Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555

Least Common Multiple of 9549 and 9555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9549 and 9555, than apply into the LCM equation.

GCF(9549,9555) = 3
LCM(9549,9555) = ( 9549 × 9555) / 3
LCM(9549,9555) = 91240695 / 3
LCM(9549,9555) = 30413565

Properties of LCM 9549 and 9555

(i) The LCM of 9555 and 9549 is associative

LCM of 9549 and 9555 = LCM of 9555 and 9549

Related Least Common Multiples of 9549

Related Least Common Multiples of 9555

Frequently Asked Questions on LCM of 9549 and 9555

1. What is the LCM of 9549 and 9555?

Answer: LCM of 9549 and 9555 is 30413565.

2. What are the Factors of 9549?

Answer: Factors of 9549 are 1, 3, 9, 1061, 3183, 9549. There are 6 integers that are factors of 9549. The greatest factor of 9549 is 9549.

3. What are the Factors of 9555?

Answer: Factors of 9555 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555. There are 24 integers that are factors of 9555. The greatest factor of 9555 is 9555.

4. How to Find the LCM of 9549 and 9555?

Answer:

Least Common Multiple of 9549 and 9555 = 30413565

Step 1: Find the prime factorization of 9549

9549 = 3 x 3 x 1061

Step 2: Find the prime factorization of 9555

9555 = 3 x 5 x 7 x 7 x 13

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

LCM = 30413565 = 3 x 3 x 5 x 7 x 7 x 13 x 1061

Step 4: Therefore, the least common multiple of 9549 and 9555 is 30413565.