Least Common Multiple of 8666 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 8666 and 8673 the smallest integer that is 10737174 that is divisible by both numbers.

Least Common Multiple (LCM) of 8666 and 8673 is 10737174.

LCM(8666,8673) = 10737174

LCM of 8666 and 8673

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

LCM of:
and

Least Common Multiple of 8666 and 8673

LCM of 8666 and 8673 is 10737174

Least common multiple can be found by multiplying the highest exponent prime factors of 8666 and 8673. First we will calculate the prime factors of 8666 and 8673.

Prime Factorization of 8666


2 8666
7 4333
619 619
1

Prime factors of 8666 are 2, 7,619. Prime factorization of 8666 in exponential form is:

8666 = 21×71×6191

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 8666 and 8673.

LCM(8666,8673) = 21×31×72×591×6191
LCM(8666,8673) = 10737174

Factors of 8666

List of positive integer factors of 8666 that divides 8666 without a remainder.

1, 2, 7, 14, 619, 1238, 4333, 8666

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 8666 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 8666 and 8673, than apply into the LCM equation.

GCF(8666,8673) = 7
LCM(8666,8673) = ( 8666 × 8673) / 7
LCM(8666,8673) = 75160218 / 7
LCM(8666,8673) = 10737174

Properties of LCM 8666 and 8673

(i) The LCM of 8673 and 8666 is associative

LCM of 8666 and 8673 = LCM of 8673 and 8666

Related Least Common Multiples of 8666

Related Least Common Multiples of 8673

Frequently Asked Questions on LCM of 8666 and 8673

1. What is the LCM of 8666 and 8673?

Answer: LCM of 8666 and 8673 is 10737174.

2. What are the Factors of 8666?

Answer: Factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666. There are 8 integers that are factors of 8666. The greatest factor of 8666 is 8666.

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 8666 and 8673?

Answer:

Least Common Multiple of 8666 and 8673 = 10737174

Step 1: Find the prime factorization of 8666

8666 = 2 x 7 x 619

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 = 10737174 = 2 x 3 x 7 x 7 x 59 x 619

Step 4: Therefore, the least common multiple of 8666 and 8673 is 10737174.