Least Common Multiple of 876 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 876 and 884 the smallest integer that is 193596 that is divisible by both numbers.

Least Common Multiple (LCM) of 876 and 884 is 193596.

LCM(876,884) = 193596

LCM of 876 and 884

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

LCM of:
and

Least Common Multiple of 876 and 884

LCM of 876 and 884 is 193596

Least common multiple can be found by multiplying the highest exponent prime factors of 876 and 884. First we will calculate the prime factors of 876 and 884.

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 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 876 and 884.

LCM(876,884) = 22×31×131×171×731
LCM(876,884) = 193596

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 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 876 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 876 and 884, than apply into the LCM equation.

GCF(876,884) = 4
LCM(876,884) = ( 876 × 884) / 4
LCM(876,884) = 774384 / 4
LCM(876,884) = 193596

Properties of LCM 876 and 884

(i) The LCM of 884 and 876 is associative

LCM of 876 and 884 = LCM of 884 and 876

Related Least Common Multiples of 876

Related Least Common Multiples of 884

Frequently Asked Questions on LCM of 876 and 884

1. What is the LCM of 876 and 884?

Answer: LCM of 876 and 884 is 193596.

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 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 876 and 884?

Answer:

Least Common Multiple of 876 and 884 = 193596

Step 1: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

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 = 193596 = 2 x 2 x 3 x 13 x 17 x 73

Step 4: Therefore, the least common multiple of 876 and 884 is 193596.