Least Common Multiple of 9544 and 9549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9544 and 9549 the smallest integer that is 91135656 that is divisible by both numbers.

Least Common Multiple (LCM) of 9544 and 9549 is 91135656.

LCM(9544,9549) = 91135656

LCM of 9544 and 9549

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

LCM of:
and

Least Common Multiple of 9544 and 9549

LCM of 9544 and 9549 is 91135656

Least common multiple can be found by multiplying the highest exponent prime factors of 9544 and 9549. First we will calculate the prime factors of 9544 and 9549.

Prime Factorization of 9544


2 9544
2 4772
2 2386
1193 1193
1

Prime factors of 9544 are 2,1193. Prime factorization of 9544 in exponential form is:

9544 = 23×11931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9544 and 9549.

LCM(9544,9549) = 23×32×10611×11931
LCM(9544,9549) = 91135656

Factors of 9544

List of positive integer factors of 9544 that divides 9544 without a remainder.

1, 2, 4, 8, 1193, 2386, 4772, 9544

Factors of 9549

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

1, 3, 9, 1061, 3183, 9549

Least Common Multiple of 9544 and 9549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9544 and 9549, than apply into the LCM equation.

GCF(9544,9549) = 1
LCM(9544,9549) = ( 9544 × 9549) / 1
LCM(9544,9549) = 91135656 / 1
LCM(9544,9549) = 91135656

Properties of LCM 9544 and 9549

(i) The LCM of 9549 and 9544 is associative

LCM of 9544 and 9549 = LCM of 9549 and 9544

Frequently Asked Questions on LCM of 9544 and 9549

1. What is the LCM of 9544 and 9549?

Answer: LCM of 9544 and 9549 is 91135656.

2. What are the Factors of 9544?

Answer: Factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544. There are 8 integers that are factors of 9544. The greatest factor of 9544 is 9544.

3. 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.

4. How to Find the LCM of 9544 and 9549?

Answer:

Least Common Multiple of 9544 and 9549 = 91135656

Step 1: Find the prime factorization of 9544

9544 = 2 x 2 x 2 x 1193

Step 2: Find the prime factorization of 9549

9549 = 3 x 3 x 1061

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

LCM = 91135656 = 2 x 2 x 2 x 3 x 3 x 1061 x 1193

Step 4: Therefore, the least common multiple of 9544 and 9549 is 91135656.