Least Common Multiple of 885 and 893

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 893 the smallest integer that is 790305 that is divisible by both numbers.

Least Common Multiple (LCM) of 885 and 893 is 790305.

LCM(885,893) = 790305

LCM of 885 and 893

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

LCM of:
and

Least Common Multiple of 885 and 893

LCM of 885 and 893 is 790305

Least common multiple can be found by multiplying the highest exponent prime factors of 885 and 893. First we will calculate the prime factors of 885 and 893.

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 893


19 893
47 47
1

Prime factors of 893 are 19,47. Prime factorization of 893 in exponential form is:

893 = 191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 885 and 893.

LCM(885,893) = 31×51×191×471×591
LCM(885,893) = 790305

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 893

List of positive integer factors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Least Common Multiple of 885 and 893 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 893, than apply into the LCM equation.

GCF(885,893) = 1
LCM(885,893) = ( 885 × 893) / 1
LCM(885,893) = 790305 / 1
LCM(885,893) = 790305

Properties of LCM 885 and 893

(i) The LCM of 893 and 885 is associative

LCM of 885 and 893 = LCM of 893 and 885

Related Least Common Multiples of 885

Related Least Common Multiples of 893

Frequently Asked Questions on LCM of 885 and 893

1. What is the LCM of 885 and 893?

Answer: LCM of 885 and 893 is 790305.

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 893?

Answer: Factors of 893 are 1, 19, 47, 893. There are 4 integers that are factors of 893. The greatest factor of 893 is 893.

4. How to Find the LCM of 885 and 893?

Answer:

Least Common Multiple of 885 and 893 = 790305

Step 1: Find the prime factorization of 885

885 = 3 x 5 x 59

Step 2: Find the prime factorization of 893

893 = 19 x 47

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

LCM = 790305 = 3 x 5 x 19 x 47 x 59

Step 4: Therefore, the least common multiple of 885 and 893 is 790305.