Least Common Multiple of 8507 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 8507 and 8511 the smallest integer that is 72403077 that is divisible by both numbers.

Least Common Multiple (LCM) of 8507 and 8511 is 72403077.

LCM(8507,8511) = 72403077

LCM of 8507 and 8511

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

LCM of:
and

Least Common Multiple of 8507 and 8511

LCM of 8507 and 8511 is 72403077

Least common multiple can be found by multiplying the highest exponent prime factors of 8507 and 8511. First we will calculate the prime factors of 8507 and 8511.

Prime Factorization of 8507


47 8507
181 181
1

Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:

8507 = 471×1811

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 8507 and 8511.

LCM(8507,8511) = 31×471×1811×28371
LCM(8507,8511) = 72403077

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1, 47, 181, 8507

Factors of 8511

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

1, 3, 2837, 8511

Least Common Multiple of 8507 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 8507 and 8511, than apply into the LCM equation.

GCF(8507,8511) = 1
LCM(8507,8511) = ( 8507 × 8511) / 1
LCM(8507,8511) = 72403077 / 1
LCM(8507,8511) = 72403077

Properties of LCM 8507 and 8511

(i) The LCM of 8511 and 8507 is associative

LCM of 8507 and 8511 = LCM of 8511 and 8507

Related Least Common Multiples of 8507

Related Least Common Multiples of 8511

Frequently Asked Questions on LCM of 8507 and 8511

1. What is the LCM of 8507 and 8511?

Answer: LCM of 8507 and 8511 is 72403077.

2. What are the Factors of 8507?

Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.

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 8507 and 8511?

Answer:

Least Common Multiple of 8507 and 8511 = 72403077

Step 1: Find the prime factorization of 8507

8507 = 47 x 181

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 = 72403077 = 3 x 47 x 181 x 2837

Step 4: Therefore, the least common multiple of 8507 and 8511 is 72403077.