Least Common Multiple of 878 and 884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 878 and 884 the smallest integer that is 388076 that is divisible by both numbers.

Least Common Multiple (LCM) of 878 and 884 is 388076.

LCM(878,884) = 388076

LCM of 878 and 884

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

LCM of:
and

Least Common Multiple of 878 and 884

LCM of 878 and 884 is 388076

Least common multiple can be found by multiplying the highest exponent prime factors of 878 and 884. First we will calculate the prime factors of 878 and 884.

Prime Factorization of 878


2 878
439 439
1

Prime factors of 878 are 2,439. Prime factorization of 878 in exponential form is:

878 = 21×4391

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2, 13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 878 and 884.

LCM(878,884) = 22×131×171×4391
LCM(878,884) = 388076

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Least Common Multiple of 878 and 884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 878 and 884, than apply into the LCM equation.

GCF(878,884) = 2
LCM(878,884) = ( 878 × 884) / 2
LCM(878,884) = 776152 / 2
LCM(878,884) = 388076

Properties of LCM 878 and 884

(i) The LCM of 884 and 878 is associative

LCM of 878 and 884 = LCM of 884 and 878

Related Least Common Multiples of 878

Related Least Common Multiples of 884

Frequently Asked Questions on LCM of 878 and 884

1. What is the LCM of 878 and 884?

Answer: LCM of 878 and 884 is 388076.

2. What are the Factors of 878?

Answer: Factors of 878 are 1, 2, 439, 878. There are 4 integers that are factors of 878. The greatest factor of 878 is 878.

3. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

4. How to Find the LCM of 878 and 884?

Answer:

Least Common Multiple of 878 and 884 = 388076

Step 1: Find the prime factorization of 878

878 = 2 x 439

Step 2: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

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

LCM = 388076 = 2 x 2 x 13 x 17 x 439

Step 4: Therefore, the least common multiple of 878 and 884 is 388076.