Least Common Multiple of 872 and 878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 872 and 878 the smallest integer that is 382808 that is divisible by both numbers.

Least Common Multiple (LCM) of 872 and 878 is 382808.

LCM(872,878) = 382808

LCM of 872 and 878

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

LCM of:
and

Least Common Multiple of 872 and 878

LCM of 872 and 878 is 382808

Least common multiple can be found by multiplying the highest exponent prime factors of 872 and 878. First we will calculate the prime factors of 872 and 878.

Prime Factorization of 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 872 and 878.

LCM(872,878) = 23×1091×4391
LCM(872,878) = 382808

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Factors of 878

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

1, 2, 439, 878

Least Common Multiple of 872 and 878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 872 and 878, than apply into the LCM equation.

GCF(872,878) = 2
LCM(872,878) = ( 872 × 878) / 2
LCM(872,878) = 765616 / 2
LCM(872,878) = 382808

Properties of LCM 872 and 878

(i) The LCM of 878 and 872 is associative

LCM of 872 and 878 = LCM of 878 and 872

Related Least Common Multiples of 872

Related Least Common Multiples of 878

Frequently Asked Questions on LCM of 872 and 878

1. What is the LCM of 872 and 878?

Answer: LCM of 872 and 878 is 382808.

2. What are the Factors of 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

3. 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.

4. How to Find the LCM of 872 and 878?

Answer:

Least Common Multiple of 872 and 878 = 382808

Step 1: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 878

878 = 2 x 439

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

LCM = 382808 = 2 x 2 x 2 x 109 x 439

Step 4: Therefore, the least common multiple of 872 and 878 is 382808.