Least Common Multiple of 8544 and 8547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8544 and 8547 the smallest integer that is 24341856 that is divisible by both numbers.

Least Common Multiple (LCM) of 8544 and 8547 is 24341856.

LCM(8544,8547) = 24341856

LCM of 8544 and 8547

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

LCM of:
and

Least Common Multiple of 8544 and 8547

LCM of 8544 and 8547 is 24341856

Least common multiple can be found by multiplying the highest exponent prime factors of 8544 and 8547. First we will calculate the prime factors of 8544 and 8547.

Prime Factorization of 8544


2 8544
2 4272
2 2136
2 1068
2 534
3 267
89 89
1

Prime factors of 8544 are 2, 3,89. Prime factorization of 8544 in exponential form is:

8544 = 25×31×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8544 and 8547.

LCM(8544,8547) = 25×31×71×111×371×891
LCM(8544,8547) = 24341856

Factors of 8544

List of positive integer factors of 8544 that divides 8544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544

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

Least Common Multiple of 8544 and 8547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8544 and 8547, than apply into the LCM equation.

GCF(8544,8547) = 3
LCM(8544,8547) = ( 8544 × 8547) / 3
LCM(8544,8547) = 73025568 / 3
LCM(8544,8547) = 24341856

Properties of LCM 8544 and 8547

(i) The LCM of 8547 and 8544 is associative

LCM of 8544 and 8547 = LCM of 8547 and 8544

Related Least Common Multiples of 8544

Related Least Common Multiples of 8547

Frequently Asked Questions on LCM of 8544 and 8547

1. What is the LCM of 8544 and 8547?

Answer: LCM of 8544 and 8547 is 24341856.

2. What are the Factors of 8544?

Answer: Factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544. There are 24 integers that are factors of 8544. The greatest factor of 8544 is 8544.

3. 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.

4. How to Find the LCM of 8544 and 8547?

Answer:

Least Common Multiple of 8544 and 8547 = 24341856

Step 1: Find the prime factorization of 8544

8544 = 2 x 2 x 2 x 2 x 2 x 3 x 89

Step 2: Find the prime factorization of 8547

8547 = 3 x 7 x 11 x 37

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

LCM = 24341856 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 37 x 89

Step 4: Therefore, the least common multiple of 8544 and 8547 is 24341856.