Least Common Multiple of 8687 and 8693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8687 and 8693 the smallest integer that is 75516091 that is divisible by both numbers.

Least Common Multiple (LCM) of 8687 and 8693 is 75516091.

LCM(8687,8693) = 75516091

LCM of 8687 and 8693

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

LCM of:
and

Least Common Multiple of 8687 and 8693

LCM of 8687 and 8693 is 75516091

Least common multiple can be found by multiplying the highest exponent prime factors of 8687 and 8693. First we will calculate the prime factors of 8687 and 8693.

Prime Factorization of 8687


7 8687
17 1241
73 73
1

Prime factors of 8687 are 7, 17,73. Prime factorization of 8687 in exponential form is:

8687 = 71×171×731

Prime Factorization of 8693


8693 8693
1

Prime factors of 8693 are 8693. Prime factorization of 8693 in exponential form is:

8693 = 86931

Now multiplying the highest exponent prime factors to calculate the LCM of 8687 and 8693.

LCM(8687,8693) = 71×171×731×86931
LCM(8687,8693) = 75516091

Factors of 8687

List of positive integer factors of 8687 that divides 8687 without a remainder.

1, 7, 17, 73, 119, 511, 1241, 8687

Factors of 8693

List of positive integer factors of 8693 that divides 8693 without a remainder.

1, 8693

Least Common Multiple of 8687 and 8693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8687 and 8693, than apply into the LCM equation.

GCF(8687,8693) = 1
LCM(8687,8693) = ( 8687 × 8693) / 1
LCM(8687,8693) = 75516091 / 1
LCM(8687,8693) = 75516091

Properties of LCM 8687 and 8693

(i) The LCM of 8693 and 8687 is associative

LCM of 8687 and 8693 = LCM of 8693 and 8687

Related Least Common Multiples of 8687

Related Least Common Multiples of 8693

Frequently Asked Questions on LCM of 8687 and 8693

1. What is the LCM of 8687 and 8693?

Answer: LCM of 8687 and 8693 is 75516091.

2. What are the Factors of 8687?

Answer: Factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687. There are 8 integers that are factors of 8687. The greatest factor of 8687 is 8687.

3. What are the Factors of 8693?

Answer: Factors of 8693 are 1, 8693. There are 2 integers that are factors of 8693. The greatest factor of 8693 is 8693.

4. How to Find the LCM of 8687 and 8693?

Answer:

Least Common Multiple of 8687 and 8693 = 75516091

Step 1: Find the prime factorization of 8687

8687 = 7 x 17 x 73

Step 2: Find the prime factorization of 8693

8693 = 8693

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

LCM = 75516091 = 7 x 17 x 73 x 8693

Step 4: Therefore, the least common multiple of 8687 and 8693 is 75516091.