Least Common Multiple of 879 and 882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 879 and 882 the smallest integer that is 258426 that is divisible by both numbers.

Least Common Multiple (LCM) of 879 and 882 is 258426.

LCM(879,882) = 258426

LCM of 879 and 882

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

LCM of:
and

Least Common Multiple of 879 and 882

LCM of 879 and 882 is 258426

Least common multiple can be found by multiplying the highest exponent prime factors of 879 and 882. First we will calculate the prime factors of 879 and 882.

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

Prime Factorization of 882


2 882
3 441
3 147
7 49
7 7
1

Prime factors of 882 are 2, 3,7. Prime factorization of 882 in exponential form is:

882 = 21×32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 879 and 882.

LCM(879,882) = 21×32×72×2931
LCM(879,882) = 258426

Factors of 879

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

1, 3, 293, 879

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Least Common Multiple of 879 and 882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 879 and 882, than apply into the LCM equation.

GCF(879,882) = 3
LCM(879,882) = ( 879 × 882) / 3
LCM(879,882) = 775278 / 3
LCM(879,882) = 258426

Properties of LCM 879 and 882

(i) The LCM of 882 and 879 is associative

LCM of 879 and 882 = LCM of 882 and 879

Related Least Common Multiples of 879

Related Least Common Multiples of 882

Frequently Asked Questions on LCM of 879 and 882

1. What is the LCM of 879 and 882?

Answer: LCM of 879 and 882 is 258426.

2. 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.

3. What are the Factors of 882?

Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.

4. How to Find the LCM of 879 and 882?

Answer:

Least Common Multiple of 879 and 882 = 258426

Step 1: Find the prime factorization of 879

879 = 3 x 293

Step 2: Find the prime factorization of 882

882 = 2 x 3 x 3 x 7 x 7

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

LCM = 258426 = 2 x 3 x 3 x 7 x 7 x 293

Step 4: Therefore, the least common multiple of 879 and 882 is 258426.