Least Common Multiple of 8659 and 8663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8659 and 8663 the smallest integer that is 75012917 that is divisible by both numbers.

Least Common Multiple (LCM) of 8659 and 8663 is 75012917.

LCM(8659,8663) = 75012917

LCM of 8659 and 8663

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

LCM of:
and

Least Common Multiple of 8659 and 8663

LCM of 8659 and 8663 is 75012917

Least common multiple can be found by multiplying the highest exponent prime factors of 8659 and 8663. First we will calculate the prime factors of 8659 and 8663.

Prime Factorization of 8659


7 8659
1237 1237
1

Prime factors of 8659 are 7,1237. Prime factorization of 8659 in exponential form is:

8659 = 71×12371

Prime Factorization of 8663


8663 8663
1

Prime factors of 8663 are 8663. Prime factorization of 8663 in exponential form is:

8663 = 86631

Now multiplying the highest exponent prime factors to calculate the LCM of 8659 and 8663.

LCM(8659,8663) = 71×12371×86631
LCM(8659,8663) = 75012917

Factors of 8659

List of positive integer factors of 8659 that divides 8659 without a remainder.

1, 7, 1237, 8659

Factors of 8663

List of positive integer factors of 8663 that divides 8663 without a remainder.

1, 8663

Least Common Multiple of 8659 and 8663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8659 and 8663, than apply into the LCM equation.

GCF(8659,8663) = 1
LCM(8659,8663) = ( 8659 × 8663) / 1
LCM(8659,8663) = 75012917 / 1
LCM(8659,8663) = 75012917

Properties of LCM 8659 and 8663

(i) The LCM of 8663 and 8659 is associative

LCM of 8659 and 8663 = LCM of 8663 and 8659

Related Least Common Multiples of 8659

Related Least Common Multiples of 8663

Frequently Asked Questions on LCM of 8659 and 8663

1. What is the LCM of 8659 and 8663?

Answer: LCM of 8659 and 8663 is 75012917.

2. What are the Factors of 8659?

Answer: Factors of 8659 are 1, 7, 1237, 8659. There are 4 integers that are factors of 8659. The greatest factor of 8659 is 8659.

3. What are the Factors of 8663?

Answer: Factors of 8663 are 1, 8663. There are 2 integers that are factors of 8663. The greatest factor of 8663 is 8663.

4. How to Find the LCM of 8659 and 8663?

Answer:

Least Common Multiple of 8659 and 8663 = 75012917

Step 1: Find the prime factorization of 8659

8659 = 7 x 1237

Step 2: Find the prime factorization of 8663

8663 = 8663

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

LCM = 75012917 = 7 x 1237 x 8663

Step 4: Therefore, the least common multiple of 8659 and 8663 is 75012917.