Least Common Multiple of 876 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 876 and 878 the smallest integer that is 384564 that is divisible by both numbers.

Least Common Multiple (LCM) of 876 and 878 is 384564.

LCM(876,878) = 384564

LCM of 876 and 878

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

LCM of:
and

Least Common Multiple of 876 and 878

LCM of 876 and 878 is 384564

Least common multiple can be found by multiplying the highest exponent prime factors of 876 and 878. First we will calculate the prime factors of 876 and 878.

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 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 876 and 878.

LCM(876,878) = 22×31×731×4391
LCM(876,878) = 384564

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 878

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

1, 2, 439, 878

Least Common Multiple of 876 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 876 and 878, than apply into the LCM equation.

GCF(876,878) = 2
LCM(876,878) = ( 876 × 878) / 2
LCM(876,878) = 769128 / 2
LCM(876,878) = 384564

Properties of LCM 876 and 878

(i) The LCM of 878 and 876 is associative

LCM of 876 and 878 = LCM of 878 and 876

Related Least Common Multiples of 876

Related Least Common Multiples of 878

Frequently Asked Questions on LCM of 876 and 878

1. What is the LCM of 876 and 878?

Answer: LCM of 876 and 878 is 384564.

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 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 876 and 878?

Answer:

Least Common Multiple of 876 and 878 = 384564

Step 1: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

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 = 384564 = 2 x 2 x 3 x 73 x 439

Step 4: Therefore, the least common multiple of 876 and 878 is 384564.