Least Common Multiple of 877 and 885

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 885 the smallest integer that is 776145 that is divisible by both numbers.

Least Common Multiple (LCM) of 877 and 885 is 776145.

LCM(877,885) = 776145

LCM of 877 and 885

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

LCM of:
and

Least Common Multiple of 877 and 885

LCM of 877 and 885 is 776145

Least common multiple can be found by multiplying the highest exponent prime factors of 877 and 885. First we will calculate the prime factors of 877 and 885.

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 885


3 885
5 295
59 59
1

Prime factors of 885 are 3, 5,59. Prime factorization of 885 in exponential form is:

885 = 31×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 877 and 885.

LCM(877,885) = 31×51×591×8771
LCM(877,885) = 776145

Factors of 877

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

1, 877

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Least Common Multiple of 877 and 885 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 885, than apply into the LCM equation.

GCF(877,885) = 1
LCM(877,885) = ( 877 × 885) / 1
LCM(877,885) = 776145 / 1
LCM(877,885) = 776145

Properties of LCM 877 and 885

(i) The LCM of 885 and 877 is associative

LCM of 877 and 885 = LCM of 885 and 877

Related Least Common Multiples of 877

Related Least Common Multiples of 885

Frequently Asked Questions on LCM of 877 and 885

1. What is the LCM of 877 and 885?

Answer: LCM of 877 and 885 is 776145.

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 885?

Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.

4. How to Find the LCM of 877 and 885?

Answer:

Least Common Multiple of 877 and 885 = 776145

Step 1: Find the prime factorization of 877

877 = 877

Step 2: Find the prime factorization of 885

885 = 3 x 5 x 59

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

LCM = 776145 = 3 x 5 x 59 x 877

Step 4: Therefore, the least common multiple of 877 and 885 is 776145.