Least Common Multiple of 8506 and 8511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8506 and 8511 the smallest integer that is 72394566 that is divisible by both numbers.

Least Common Multiple (LCM) of 8506 and 8511 is 72394566.

LCM(8506,8511) = 72394566

LCM of 8506 and 8511

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

LCM of:
and

Least Common Multiple of 8506 and 8511

LCM of 8506 and 8511 is 72394566

Least common multiple can be found by multiplying the highest exponent prime factors of 8506 and 8511. First we will calculate the prime factors of 8506 and 8511.

Prime Factorization of 8506


2 8506
4253 4253
1

Prime factors of 8506 are 2,4253. Prime factorization of 8506 in exponential form is:

8506 = 21×42531

Prime Factorization of 8511


3 8511
2837 2837
1

Prime factors of 8511 are 3,2837. Prime factorization of 8511 in exponential form is:

8511 = 31×28371

Now multiplying the highest exponent prime factors to calculate the LCM of 8506 and 8511.

LCM(8506,8511) = 21×31×28371×42531
LCM(8506,8511) = 72394566

Factors of 8506

List of positive integer factors of 8506 that divides 8506 without a remainder.

1, 2, 4253, 8506

Factors of 8511

List of positive integer factors of 8511 that divides 8511 without a remainder.

1, 3, 2837, 8511

Least Common Multiple of 8506 and 8511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8506 and 8511, than apply into the LCM equation.

GCF(8506,8511) = 1
LCM(8506,8511) = ( 8506 × 8511) / 1
LCM(8506,8511) = 72394566 / 1
LCM(8506,8511) = 72394566

Properties of LCM 8506 and 8511

(i) The LCM of 8511 and 8506 is associative

LCM of 8506 and 8511 = LCM of 8511 and 8506

Related Least Common Multiples of 8506

Related Least Common Multiples of 8511

Frequently Asked Questions on LCM of 8506 and 8511

1. What is the LCM of 8506 and 8511?

Answer: LCM of 8506 and 8511 is 72394566.

2. What are the Factors of 8506?

Answer: Factors of 8506 are 1, 2, 4253, 8506. There are 4 integers that are factors of 8506. The greatest factor of 8506 is 8506.

3. What are the Factors of 8511?

Answer: Factors of 8511 are 1, 3, 2837, 8511. There are 4 integers that are factors of 8511. The greatest factor of 8511 is 8511.

4. How to Find the LCM of 8506 and 8511?

Answer:

Least Common Multiple of 8506 and 8511 = 72394566

Step 1: Find the prime factorization of 8506

8506 = 2 x 4253

Step 2: Find the prime factorization of 8511

8511 = 3 x 2837

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

LCM = 72394566 = 2 x 3 x 2837 x 4253

Step 4: Therefore, the least common multiple of 8506 and 8511 is 72394566.