Least Common Multiple of 8661 and 8665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8661 and 8665 the smallest integer that is 75047565 that is divisible by both numbers.

Least Common Multiple (LCM) of 8661 and 8665 is 75047565.

LCM(8661,8665) = 75047565

LCM of 8661 and 8665

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

LCM of:
and

Least Common Multiple of 8661 and 8665

LCM of 8661 and 8665 is 75047565

Least common multiple can be found by multiplying the highest exponent prime factors of 8661 and 8665. First we will calculate the prime factors of 8661 and 8665.

Prime Factorization of 8661


3 8661
2887 2887
1

Prime factors of 8661 are 3,2887. Prime factorization of 8661 in exponential form is:

8661 = 31×28871

Prime Factorization of 8665


5 8665
1733 1733
1

Prime factors of 8665 are 5,1733. Prime factorization of 8665 in exponential form is:

8665 = 51×17331

Now multiplying the highest exponent prime factors to calculate the LCM of 8661 and 8665.

LCM(8661,8665) = 31×51×17331×28871
LCM(8661,8665) = 75047565

Factors of 8661

List of positive integer factors of 8661 that divides 8661 without a remainder.

1, 3, 2887, 8661

Factors of 8665

List of positive integer factors of 8665 that divides 8665 without a remainder.

1, 5, 1733, 8665

Least Common Multiple of 8661 and 8665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8661 and 8665, than apply into the LCM equation.

GCF(8661,8665) = 1
LCM(8661,8665) = ( 8661 × 8665) / 1
LCM(8661,8665) = 75047565 / 1
LCM(8661,8665) = 75047565

Properties of LCM 8661 and 8665

(i) The LCM of 8665 and 8661 is associative

LCM of 8661 and 8665 = LCM of 8665 and 8661

Related Least Common Multiples of 8661

Related Least Common Multiples of 8665

Frequently Asked Questions on LCM of 8661 and 8665

1. What is the LCM of 8661 and 8665?

Answer: LCM of 8661 and 8665 is 75047565.

2. What are the Factors of 8661?

Answer: Factors of 8661 are 1, 3, 2887, 8661. There are 4 integers that are factors of 8661. The greatest factor of 8661 is 8661.

3. What are the Factors of 8665?

Answer: Factors of 8665 are 1, 5, 1733, 8665. There are 4 integers that are factors of 8665. The greatest factor of 8665 is 8665.

4. How to Find the LCM of 8661 and 8665?

Answer:

Least Common Multiple of 8661 and 8665 = 75047565

Step 1: Find the prime factorization of 8661

8661 = 3 x 2887

Step 2: Find the prime factorization of 8665

8665 = 5 x 1733

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

LCM = 75047565 = 3 x 5 x 1733 x 2887

Step 4: Therefore, the least common multiple of 8661 and 8665 is 75047565.