Least Common Multiple of 876 and 881

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 881 the smallest integer that is 771756 that is divisible by both numbers.

Least Common Multiple (LCM) of 876 and 881 is 771756.

LCM(876,881) = 771756

LCM of 876 and 881

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

LCM of:
and

Least Common Multiple of 876 and 881

LCM of 876 and 881 is 771756

Least common multiple can be found by multiplying the highest exponent prime factors of 876 and 881. First we will calculate the prime factors of 876 and 881.

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 881


881 881
1

Prime factors of 881 are 881. Prime factorization of 881 in exponential form is:

881 = 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 876 and 881.

LCM(876,881) = 22×31×731×8811
LCM(876,881) = 771756

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 881

List of positive integer factors of 881 that divides 881 without a remainder.

1, 881

Least Common Multiple of 876 and 881 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 881, than apply into the LCM equation.

GCF(876,881) = 1
LCM(876,881) = ( 876 × 881) / 1
LCM(876,881) = 771756 / 1
LCM(876,881) = 771756

Properties of LCM 876 and 881

(i) The LCM of 881 and 876 is associative

LCM of 876 and 881 = LCM of 881 and 876

Related Least Common Multiples of 876

Related Least Common Multiples of 881

Frequently Asked Questions on LCM of 876 and 881

1. What is the LCM of 876 and 881?

Answer: LCM of 876 and 881 is 771756.

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 881?

Answer: Factors of 881 are 1, 881. There are 2 integers that are factors of 881. The greatest factor of 881 is 881.

4. How to Find the LCM of 876 and 881?

Answer:

Least Common Multiple of 876 and 881 = 771756

Step 1: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

Step 2: Find the prime factorization of 881

881 = 881

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

LCM = 771756 = 2 x 2 x 3 x 73 x 881

Step 4: Therefore, the least common multiple of 876 and 881 is 771756.