Least Common Multiple of 8878 and 8883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8878 and 8883 the smallest integer that is 78863274 that is divisible by both numbers.

Least Common Multiple (LCM) of 8878 and 8883 is 78863274.

LCM(8878,8883) = 78863274

LCM of 8878 and 8883

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

LCM of:
and

Least Common Multiple of 8878 and 8883

LCM of 8878 and 8883 is 78863274

Least common multiple can be found by multiplying the highest exponent prime factors of 8878 and 8883. First we will calculate the prime factors of 8878 and 8883.

Prime Factorization of 8878


2 8878
23 4439
193 193
1

Prime factors of 8878 are 2, 23,193. Prime factorization of 8878 in exponential form is:

8878 = 21×231×1931

Prime Factorization of 8883


3 8883
3 2961
3 987
7 329
47 47
1

Prime factors of 8883 are 3, 7,47. Prime factorization of 8883 in exponential form is:

8883 = 33×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8878 and 8883.

LCM(8878,8883) = 21×33×71×231×471×1931
LCM(8878,8883) = 78863274

Factors of 8878

List of positive integer factors of 8878 that divides 8878 without a remainder.

1, 2, 23, 46, 193, 386, 4439, 8878

Factors of 8883

List of positive integer factors of 8883 that divides 8883 without a remainder.

1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883

Least Common Multiple of 8878 and 8883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8878 and 8883, than apply into the LCM equation.

GCF(8878,8883) = 1
LCM(8878,8883) = ( 8878 × 8883) / 1
LCM(8878,8883) = 78863274 / 1
LCM(8878,8883) = 78863274

Properties of LCM 8878 and 8883

(i) The LCM of 8883 and 8878 is associative

LCM of 8878 and 8883 = LCM of 8883 and 8878

Related Least Common Multiples of 8878

Related Least Common Multiples of 8883

Frequently Asked Questions on LCM of 8878 and 8883

1. What is the LCM of 8878 and 8883?

Answer: LCM of 8878 and 8883 is 78863274.

2. What are the Factors of 8878?

Answer: Factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878. There are 8 integers that are factors of 8878. The greatest factor of 8878 is 8878.

3. What are the Factors of 8883?

Answer: Factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883. There are 16 integers that are factors of 8883. The greatest factor of 8883 is 8883.

4. How to Find the LCM of 8878 and 8883?

Answer:

Least Common Multiple of 8878 and 8883 = 78863274

Step 1: Find the prime factorization of 8878

8878 = 2 x 23 x 193

Step 2: Find the prime factorization of 8883

8883 = 3 x 3 x 3 x 7 x 47

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

LCM = 78863274 = 2 x 3 x 3 x 3 x 7 x 23 x 47 x 193

Step 4: Therefore, the least common multiple of 8878 and 8883 is 78863274.