Least Common Multiple of 8665 and 8673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8665 and 8673 the smallest integer that is 75151545 that is divisible by both numbers.

Least Common Multiple (LCM) of 8665 and 8673 is 75151545.

LCM(8665,8673) = 75151545

LCM of 8665 and 8673

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

LCM of:
and

Least Common Multiple of 8665 and 8673

LCM of 8665 and 8673 is 75151545

Least common multiple can be found by multiplying the highest exponent prime factors of 8665 and 8673. First we will calculate the prime factors of 8665 and 8673.

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

Prime Factorization of 8673


3 8673
7 2891
7 413
59 59
1

Prime factors of 8673 are 3, 7,59. Prime factorization of 8673 in exponential form is:

8673 = 31×72×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8665 and 8673.

LCM(8665,8673) = 31×51×72×591×17331
LCM(8665,8673) = 75151545

Factors of 8665

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

1, 5, 1733, 8665

Factors of 8673

List of positive integer factors of 8673 that divides 8673 without a remainder.

1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673

Least Common Multiple of 8665 and 8673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8665 and 8673, than apply into the LCM equation.

GCF(8665,8673) = 1
LCM(8665,8673) = ( 8665 × 8673) / 1
LCM(8665,8673) = 75151545 / 1
LCM(8665,8673) = 75151545

Properties of LCM 8665 and 8673

(i) The LCM of 8673 and 8665 is associative

LCM of 8665 and 8673 = LCM of 8673 and 8665

Related Least Common Multiples of 8665

Related Least Common Multiples of 8673

Frequently Asked Questions on LCM of 8665 and 8673

1. What is the LCM of 8665 and 8673?

Answer: LCM of 8665 and 8673 is 75151545.

2. 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.

3. What are the Factors of 8673?

Answer: Factors of 8673 are 1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673. There are 12 integers that are factors of 8673. The greatest factor of 8673 is 8673.

4. How to Find the LCM of 8665 and 8673?

Answer:

Least Common Multiple of 8665 and 8673 = 75151545

Step 1: Find the prime factorization of 8665

8665 = 5 x 1733

Step 2: Find the prime factorization of 8673

8673 = 3 x 7 x 7 x 59

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

LCM = 75151545 = 3 x 5 x 7 x 7 x 59 x 1733

Step 4: Therefore, the least common multiple of 8665 and 8673 is 75151545.