Least Common Multiple of 8872 and 8879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8872 and 8879 the smallest integer that is 78774488 that is divisible by both numbers.

Least Common Multiple (LCM) of 8872 and 8879 is 78774488.

LCM(8872,8879) = 78774488

LCM of 8872 and 8879

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

LCM of:
and

Least Common Multiple of 8872 and 8879

LCM of 8872 and 8879 is 78774488

Least common multiple can be found by multiplying the highest exponent prime factors of 8872 and 8879. First we will calculate the prime factors of 8872 and 8879.

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

Prime Factorization of 8879


13 8879
683 683
1

Prime factors of 8879 are 13,683. Prime factorization of 8879 in exponential form is:

8879 = 131×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 8872 and 8879.

LCM(8872,8879) = 23×131×6831×11091
LCM(8872,8879) = 78774488

Factors of 8872

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

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

Factors of 8879

List of positive integer factors of 8879 that divides 8879 without a remainder.

1, 13, 683, 8879

Least Common Multiple of 8872 and 8879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8872 and 8879, than apply into the LCM equation.

GCF(8872,8879) = 1
LCM(8872,8879) = ( 8872 × 8879) / 1
LCM(8872,8879) = 78774488 / 1
LCM(8872,8879) = 78774488

Properties of LCM 8872 and 8879

(i) The LCM of 8879 and 8872 is associative

LCM of 8872 and 8879 = LCM of 8879 and 8872

Related Least Common Multiples of 8872

Related Least Common Multiples of 8879

Frequently Asked Questions on LCM of 8872 and 8879

1. What is the LCM of 8872 and 8879?

Answer: LCM of 8872 and 8879 is 78774488.

2. 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.

3. What are the Factors of 8879?

Answer: Factors of 8879 are 1, 13, 683, 8879. There are 4 integers that are factors of 8879. The greatest factor of 8879 is 8879.

4. How to Find the LCM of 8872 and 8879?

Answer:

Least Common Multiple of 8872 and 8879 = 78774488

Step 1: Find the prime factorization of 8872

8872 = 2 x 2 x 2 x 1109

Step 2: Find the prime factorization of 8879

8879 = 13 x 683

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

LCM = 78774488 = 2 x 2 x 2 x 13 x 683 x 1109

Step 4: Therefore, the least common multiple of 8872 and 8879 is 78774488.