Least Common Multiple of 876 and 883

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 883 the smallest integer that is 773508 that is divisible by both numbers.

Least Common Multiple (LCM) of 876 and 883 is 773508.

LCM(876,883) = 773508

LCM of 876 and 883

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

LCM of:
and

Least Common Multiple of 876 and 883

LCM of 876 and 883 is 773508

Least common multiple can be found by multiplying the highest exponent prime factors of 876 and 883. First we will calculate the prime factors of 876 and 883.

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 883


883 883
1

Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:

883 = 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 876 and 883.

LCM(876,883) = 22×31×731×8831
LCM(876,883) = 773508

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 883

List of positive integer factors of 883 that divides 883 without a remainder.

1, 883

Least Common Multiple of 876 and 883 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 883, than apply into the LCM equation.

GCF(876,883) = 1
LCM(876,883) = ( 876 × 883) / 1
LCM(876,883) = 773508 / 1
LCM(876,883) = 773508

Properties of LCM 876 and 883

(i) The LCM of 883 and 876 is associative

LCM of 876 and 883 = LCM of 883 and 876

Related Least Common Multiples of 876

Related Least Common Multiples of 883

Frequently Asked Questions on LCM of 876 and 883

1. What is the LCM of 876 and 883?

Answer: LCM of 876 and 883 is 773508.

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 883?

Answer: Factors of 883 are 1, 883. There are 2 integers that are factors of 883. The greatest factor of 883 is 883.

4. How to Find the LCM of 876 and 883?

Answer:

Least Common Multiple of 876 and 883 = 773508

Step 1: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

Step 2: Find the prime factorization of 883

883 = 883

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

LCM = 773508 = 2 x 2 x 3 x 73 x 883

Step 4: Therefore, the least common multiple of 876 and 883 is 773508.