Least Common Multiple of 9547 and 9552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9547 and 9552 the smallest integer that is 91192944 that is divisible by both numbers.

Least Common Multiple (LCM) of 9547 and 9552 is 91192944.

LCM(9547,9552) = 91192944

LCM of 9547 and 9552

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

LCM of:
and

Least Common Multiple of 9547 and 9552

LCM of 9547 and 9552 is 91192944

Least common multiple can be found by multiplying the highest exponent prime factors of 9547 and 9552. First we will calculate the prime factors of 9547 and 9552.

Prime Factorization of 9547


9547 9547
1

Prime factors of 9547 are 9547. Prime factorization of 9547 in exponential form is:

9547 = 95471

Prime Factorization of 9552


2 9552
2 4776
2 2388
2 1194
3 597
199 199
1

Prime factors of 9552 are 2, 3,199. Prime factorization of 9552 in exponential form is:

9552 = 24×31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9547 and 9552.

LCM(9547,9552) = 24×31×1991×95471
LCM(9547,9552) = 91192944

Factors of 9547

List of positive integer factors of 9547 that divides 9547 without a remainder.

1, 9547

Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552

Least Common Multiple of 9547 and 9552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9547 and 9552, than apply into the LCM equation.

GCF(9547,9552) = 1
LCM(9547,9552) = ( 9547 × 9552) / 1
LCM(9547,9552) = 91192944 / 1
LCM(9547,9552) = 91192944

Properties of LCM 9547 and 9552

(i) The LCM of 9552 and 9547 is associative

LCM of 9547 and 9552 = LCM of 9552 and 9547

Related Least Common Multiples of 9547

Related Least Common Multiples of 9552

Frequently Asked Questions on LCM of 9547 and 9552

1. What is the LCM of 9547 and 9552?

Answer: LCM of 9547 and 9552 is 91192944.

2. What are the Factors of 9547?

Answer: Factors of 9547 are 1, 9547. There are 2 integers that are factors of 9547. The greatest factor of 9547 is 9547.

3. What are the Factors of 9552?

Answer: Factors of 9552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552. There are 20 integers that are factors of 9552. The greatest factor of 9552 is 9552.

4. How to Find the LCM of 9547 and 9552?

Answer:

Least Common Multiple of 9547 and 9552 = 91192944

Step 1: Find the prime factorization of 9547

9547 = 9547

Step 2: Find the prime factorization of 9552

9552 = 2 x 2 x 2 x 2 x 3 x 199

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

LCM = 91192944 = 2 x 2 x 2 x 2 x 3 x 199 x 9547

Step 4: Therefore, the least common multiple of 9547 and 9552 is 91192944.