Least Common Multiple of 8867 and 8873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8867 and 8873 the smallest integer that is 78676891 that is divisible by both numbers.

Least Common Multiple (LCM) of 8867 and 8873 is 78676891.

LCM(8867,8873) = 78676891

LCM of 8867 and 8873

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

LCM of:
and

Least Common Multiple of 8867 and 8873

LCM of 8867 and 8873 is 78676891

Least common multiple can be found by multiplying the highest exponent prime factors of 8867 and 8873. First we will calculate the prime factors of 8867 and 8873.

Prime Factorization of 8867


8867 8867
1

Prime factors of 8867 are 8867. Prime factorization of 8867 in exponential form is:

8867 = 88671

Prime Factorization of 8873


19 8873
467 467
1

Prime factors of 8873 are 19,467. Prime factorization of 8873 in exponential form is:

8873 = 191×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 8867 and 8873.

LCM(8867,8873) = 191×4671×88671
LCM(8867,8873) = 78676891

Factors of 8867

List of positive integer factors of 8867 that divides 8867 without a remainder.

1, 8867

Factors of 8873

List of positive integer factors of 8873 that divides 8873 without a remainder.

1, 19, 467, 8873

Least Common Multiple of 8867 and 8873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8867 and 8873, than apply into the LCM equation.

GCF(8867,8873) = 1
LCM(8867,8873) = ( 8867 × 8873) / 1
LCM(8867,8873) = 78676891 / 1
LCM(8867,8873) = 78676891

Properties of LCM 8867 and 8873

(i) The LCM of 8873 and 8867 is associative

LCM of 8867 and 8873 = LCM of 8873 and 8867

Related Least Common Multiples of 8867

Related Least Common Multiples of 8873

Frequently Asked Questions on LCM of 8867 and 8873

1. What is the LCM of 8867 and 8873?

Answer: LCM of 8867 and 8873 is 78676891.

2. What are the Factors of 8867?

Answer: Factors of 8867 are 1, 8867. There are 2 integers that are factors of 8867. The greatest factor of 8867 is 8867.

3. What are the Factors of 8873?

Answer: Factors of 8873 are 1, 19, 467, 8873. There are 4 integers that are factors of 8873. The greatest factor of 8873 is 8873.

4. How to Find the LCM of 8867 and 8873?

Answer:

Least Common Multiple of 8867 and 8873 = 78676891

Step 1: Find the prime factorization of 8867

8867 = 8867

Step 2: Find the prime factorization of 8873

8873 = 19 x 467

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

LCM = 78676891 = 19 x 467 x 8867

Step 4: Therefore, the least common multiple of 8867 and 8873 is 78676891.