Least Common Multiple of 8867 and 8872

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 8872 the smallest integer that is 78668024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8867 and 8872 is 78668024.

LCM(8867,8872) = 78668024

LCM of 8867 and 8872

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

LCM of:
and

Least Common Multiple of 8867 and 8872

LCM of 8867 and 8872 is 78668024

Least common multiple can be found by multiplying the highest exponent prime factors of 8867 and 8872. First we will calculate the prime factors of 8867 and 8872.

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 8872


2 8872
2 4436
2 2218
1109 1109
1

Prime factors of 8872 are 2,1109. Prime factorization of 8872 in exponential form is:

8872 = 23×11091

Now multiplying the highest exponent prime factors to calculate the LCM of 8867 and 8872.

LCM(8867,8872) = 23×11091×88671
LCM(8867,8872) = 78668024

Factors of 8867

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

1, 8867

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1, 2, 4, 8, 1109, 2218, 4436, 8872

Least Common Multiple of 8867 and 8872 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 8872, than apply into the LCM equation.

GCF(8867,8872) = 1
LCM(8867,8872) = ( 8867 × 8872) / 1
LCM(8867,8872) = 78668024 / 1
LCM(8867,8872) = 78668024

Properties of LCM 8867 and 8872

(i) The LCM of 8872 and 8867 is associative

LCM of 8867 and 8872 = LCM of 8872 and 8867

Related Least Common Multiples of 8867

Related Least Common Multiples of 8872

Frequently Asked Questions on LCM of 8867 and 8872

1. What is the LCM of 8867 and 8872?

Answer: LCM of 8867 and 8872 is 78668024.

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 8872?

Answer: Factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872. There are 8 integers that are factors of 8872. The greatest factor of 8872 is 8872.

4. How to Find the LCM of 8867 and 8872?

Answer:

Least Common Multiple of 8867 and 8872 = 78668024

Step 1: Find the prime factorization of 8867

8867 = 8867

Step 2: Find the prime factorization of 8872

8872 = 2 x 2 x 2 x 1109

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

LCM = 78668024 = 2 x 2 x 2 x 1109 x 8867

Step 4: Therefore, the least common multiple of 8867 and 8872 is 78668024.