Least Common Multiple of 872 and 879

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 879 the smallest integer that is 766488 that is divisible by both numbers.

Least Common Multiple (LCM) of 872 and 879 is 766488.

LCM(872,879) = 766488

LCM of 872 and 879

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

LCM of:
and

Least Common Multiple of 872 and 879

LCM of 872 and 879 is 766488

Least common multiple can be found by multiplying the highest exponent prime factors of 872 and 879. First we will calculate the prime factors of 872 and 879.

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 879


3 879
293 293
1

Prime factors of 879 are 3,293. Prime factorization of 879 in exponential form is:

879 = 31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 872 and 879.

LCM(872,879) = 23×31×1091×2931
LCM(872,879) = 766488

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 879

List of positive integer factors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Least Common Multiple of 872 and 879 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 879, than apply into the LCM equation.

GCF(872,879) = 1
LCM(872,879) = ( 872 × 879) / 1
LCM(872,879) = 766488 / 1
LCM(872,879) = 766488

Properties of LCM 872 and 879

(i) The LCM of 879 and 872 is associative

LCM of 872 and 879 = LCM of 879 and 872

Related Least Common Multiples of 872

Related Least Common Multiples of 879

Frequently Asked Questions on LCM of 872 and 879

1. What is the LCM of 872 and 879?

Answer: LCM of 872 and 879 is 766488.

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 879?

Answer: Factors of 879 are 1, 3, 293, 879. There are 4 integers that are factors of 879. The greatest factor of 879 is 879.

4. How to Find the LCM of 872 and 879?

Answer:

Least Common Multiple of 872 and 879 = 766488

Step 1: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 879

879 = 3 x 293

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

LCM = 766488 = 2 x 2 x 2 x 3 x 109 x 293

Step 4: Therefore, the least common multiple of 872 and 879 is 766488.