Least Common Multiple of 8540 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 8540 and 8547 the smallest integer that is 10427340 that is divisible by both numbers.

Least Common Multiple (LCM) of 8540 and 8547 is 10427340.

LCM(8540,8547) = 10427340

LCM of 8540 and 8547

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

LCM of:
and

Least Common Multiple of 8540 and 8547

LCM of 8540 and 8547 is 10427340

Least common multiple can be found by multiplying the highest exponent prime factors of 8540 and 8547. First we will calculate the prime factors of 8540 and 8547.

Prime Factorization of 8540


2 8540
2 4270
5 2135
7 427
61 61
1

Prime factors of 8540 are 2, 5, 7,61. Prime factorization of 8540 in exponential form is:

8540 = 22×51×71×611

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 8540 and 8547.

LCM(8540,8547) = 22×31×51×71×111×371×611
LCM(8540,8547) = 10427340

Factors of 8540

List of positive integer factors of 8540 that divides 8540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540

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 8540 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 8540 and 8547, than apply into the LCM equation.

GCF(8540,8547) = 7
LCM(8540,8547) = ( 8540 × 8547) / 7
LCM(8540,8547) = 72991380 / 7
LCM(8540,8547) = 10427340

Properties of LCM 8540 and 8547

(i) The LCM of 8547 and 8540 is associative

LCM of 8540 and 8547 = LCM of 8547 and 8540

Related Least Common Multiples of 8540

Related Least Common Multiples of 8547

Frequently Asked Questions on LCM of 8540 and 8547

1. What is the LCM of 8540 and 8547?

Answer: LCM of 8540 and 8547 is 10427340.

2. What are the Factors of 8540?

Answer: Factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540. There are 24 integers that are factors of 8540. The greatest factor of 8540 is 8540.

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 8540 and 8547?

Answer:

Least Common Multiple of 8540 and 8547 = 10427340

Step 1: Find the prime factorization of 8540

8540 = 2 x 2 x 5 x 7 x 61

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 = 10427340 = 2 x 2 x 3 x 5 x 7 x 11 x 37 x 61

Step 4: Therefore, the least common multiple of 8540 and 8547 is 10427340.