Least Common Multiple of 885 and 887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 885 and 887 the smallest integer that is 784995 that is divisible by both numbers.

Least Common Multiple (LCM) of 885 and 887 is 784995.

LCM(885,887) = 784995

LCM of 885 and 887

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

LCM of:
and

Least Common Multiple of 885 and 887

LCM of 885 and 887 is 784995

Least common multiple can be found by multiplying the highest exponent prime factors of 885 and 887. First we will calculate the prime factors of 885 and 887.

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

Prime Factorization of 887


887 887
1

Prime factors of 887 are 887. Prime factorization of 887 in exponential form is:

887 = 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 885 and 887.

LCM(885,887) = 31×51×591×8871
LCM(885,887) = 784995

Factors of 885

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

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

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1, 887

Least Common Multiple of 885 and 887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 885 and 887, than apply into the LCM equation.

GCF(885,887) = 1
LCM(885,887) = ( 885 × 887) / 1
LCM(885,887) = 784995 / 1
LCM(885,887) = 784995

Properties of LCM 885 and 887

(i) The LCM of 887 and 885 is associative

LCM of 885 and 887 = LCM of 887 and 885

Related Least Common Multiples of 885

Related Least Common Multiples of 887

Frequently Asked Questions on LCM of 885 and 887

1. What is the LCM of 885 and 887?

Answer: LCM of 885 and 887 is 784995.

2. 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.

3. What are the Factors of 887?

Answer: Factors of 887 are 1, 887. There are 2 integers that are factors of 887. The greatest factor of 887 is 887.

4. How to Find the LCM of 885 and 887?

Answer:

Least Common Multiple of 885 and 887 = 784995

Step 1: Find the prime factorization of 885

885 = 3 x 5 x 59

Step 2: Find the prime factorization of 887

887 = 887

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

LCM = 784995 = 3 x 5 x 59 x 887

Step 4: Therefore, the least common multiple of 885 and 887 is 784995.