Least Common Multiple of 876 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 876 and 879 the smallest integer that is 256668 that is divisible by both numbers.

Least Common Multiple (LCM) of 876 and 879 is 256668.

LCM(876,879) = 256668

LCM of 876 and 879

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

LCM of:
and

Least Common Multiple of 876 and 879

LCM of 876 and 879 is 256668

Least common multiple can be found by multiplying the highest exponent prime factors of 876 and 879. First we will calculate the prime factors of 876 and 879.

Prime Factorization of 876


2 876
2 438
3 219
73 73
1

Prime factors of 876 are 2, 3,73. Prime factorization of 876 in exponential form is:

876 = 22×31×731

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 876 and 879.

LCM(876,879) = 22×31×731×2931
LCM(876,879) = 256668

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Factors of 879

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

1, 3, 293, 879

Least Common Multiple of 876 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 876 and 879, than apply into the LCM equation.

GCF(876,879) = 3
LCM(876,879) = ( 876 × 879) / 3
LCM(876,879) = 770004 / 3
LCM(876,879) = 256668

Properties of LCM 876 and 879

(i) The LCM of 879 and 876 is associative

LCM of 876 and 879 = LCM of 879 and 876

Related Least Common Multiples of 876

Related Least Common Multiples of 879

Frequently Asked Questions on LCM of 876 and 879

1. What is the LCM of 876 and 879?

Answer: LCM of 876 and 879 is 256668.

2. What are the Factors of 876?

Answer: Factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. There are 12 integers that are factors of 876. The greatest factor of 876 is 876.

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 876 and 879?

Answer:

Least Common Multiple of 876 and 879 = 256668

Step 1: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

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 = 256668 = 2 x 2 x 3 x 73 x 293

Step 4: Therefore, the least common multiple of 876 and 879 is 256668.