Least Common Multiple of 8547 and 8552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8547 and 8552 the smallest integer that is 73093944 that is divisible by both numbers.

Least Common Multiple (LCM) of 8547 and 8552 is 73093944.

LCM(8547,8552) = 73093944

LCM of 8547 and 8552

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

LCM of:
and

Least Common Multiple of 8547 and 8552

LCM of 8547 and 8552 is 73093944

Least common multiple can be found by multiplying the highest exponent prime factors of 8547 and 8552. First we will calculate the prime factors of 8547 and 8552.

Prime Factorization of 8547


3 8547
7 2849
11 407
37 37
1

Prime factors of 8547 are 3, 7, 11,37. Prime factorization of 8547 in exponential form is:

8547 = 31×71×111×371

Prime Factorization of 8552


2 8552
2 4276
2 2138
1069 1069
1

Prime factors of 8552 are 2,1069. Prime factorization of 8552 in exponential form is:

8552 = 23×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 8547 and 8552.

LCM(8547,8552) = 23×31×71×111×371×10691
LCM(8547,8552) = 73093944

Factors of 8547

List of positive integer factors of 8547 that divides 8547 without a remainder.

1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547

Factors of 8552

List of positive integer factors of 8552 that divides 8552 without a remainder.

1, 2, 4, 8, 1069, 2138, 4276, 8552

Least Common Multiple of 8547 and 8552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8547 and 8552, than apply into the LCM equation.

GCF(8547,8552) = 1
LCM(8547,8552) = ( 8547 × 8552) / 1
LCM(8547,8552) = 73093944 / 1
LCM(8547,8552) = 73093944

Properties of LCM 8547 and 8552

(i) The LCM of 8552 and 8547 is associative

LCM of 8547 and 8552 = LCM of 8552 and 8547

Related Least Common Multiples of 8547

Related Least Common Multiples of 8552

Frequently Asked Questions on LCM of 8547 and 8552

1. What is the LCM of 8547 and 8552?

Answer: LCM of 8547 and 8552 is 73093944.

2. What are the Factors of 8547?

Answer: Factors of 8547 are 1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547. There are 16 integers that are factors of 8547. The greatest factor of 8547 is 8547.

3. What are the Factors of 8552?

Answer: Factors of 8552 are 1, 2, 4, 8, 1069, 2138, 4276, 8552. There are 8 integers that are factors of 8552. The greatest factor of 8552 is 8552.

4. How to Find the LCM of 8547 and 8552?

Answer:

Least Common Multiple of 8547 and 8552 = 73093944

Step 1: Find the prime factorization of 8547

8547 = 3 x 7 x 11 x 37

Step 2: Find the prime factorization of 8552

8552 = 2 x 2 x 2 x 1069

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

LCM = 73093944 = 2 x 2 x 2 x 3 x 7 x 11 x 37 x 1069

Step 4: Therefore, the least common multiple of 8547 and 8552 is 73093944.