Least Common Multiple of 877 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 877 and 884 the smallest integer that is 775268 that is divisible by both numbers.

Least Common Multiple (LCM) of 877 and 884 is 775268.

LCM(877,884) = 775268

LCM of 877 and 884

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

LCM of:
and

Least Common Multiple of 877 and 884

LCM of 877 and 884 is 775268

Least common multiple can be found by multiplying the highest exponent prime factors of 877 and 884. First we will calculate the prime factors of 877 and 884.

Prime Factorization of 877


877 877
1

Prime factors of 877 are 877. Prime factorization of 877 in exponential form is:

877 = 8771

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 877 and 884.

LCM(877,884) = 22×131×171×8771
LCM(877,884) = 775268

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1, 877

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 877 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 877 and 884, than apply into the LCM equation.

GCF(877,884) = 1
LCM(877,884) = ( 877 × 884) / 1
LCM(877,884) = 775268 / 1
LCM(877,884) = 775268

Properties of LCM 877 and 884

(i) The LCM of 884 and 877 is associative

LCM of 877 and 884 = LCM of 884 and 877

Related Least Common Multiples of 877

Related Least Common Multiples of 884

Frequently Asked Questions on LCM of 877 and 884

1. What is the LCM of 877 and 884?

Answer: LCM of 877 and 884 is 775268.

2. What are the Factors of 877?

Answer: Factors of 877 are 1, 877. There are 2 integers that are factors of 877. The greatest factor of 877 is 877.

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 877 and 884?

Answer:

Least Common Multiple of 877 and 884 = 775268

Step 1: Find the prime factorization of 877

877 = 877

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 = 775268 = 2 x 2 x 13 x 17 x 877

Step 4: Therefore, the least common multiple of 877 and 884 is 775268.