Least Common Multiple of 887 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 887 and 893 the smallest integer that is 792091 that is divisible by both numbers.

Least Common Multiple (LCM) of 887 and 893 is 792091.

LCM(887,893) = 792091

LCM of 887 and 893

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

LCM of:
and

Least Common Multiple of 887 and 893

LCM of 887 and 893 is 792091

Least common multiple can be found by multiplying the highest exponent prime factors of 887 and 893. First we will calculate the prime factors of 887 and 893.

Prime Factorization of 887


887 887
1

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

887 = 8871

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 887 and 893.

LCM(887,893) = 191×471×8871
LCM(887,893) = 792091

Factors of 887

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

1, 887

Factors of 893

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

1, 19, 47, 893

Least Common Multiple of 887 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 887 and 893, than apply into the LCM equation.

GCF(887,893) = 1
LCM(887,893) = ( 887 × 893) / 1
LCM(887,893) = 792091 / 1
LCM(887,893) = 792091

Properties of LCM 887 and 893

(i) The LCM of 893 and 887 is associative

LCM of 887 and 893 = LCM of 893 and 887

Related Least Common Multiples of 887

Related Least Common Multiples of 893

Frequently Asked Questions on LCM of 887 and 893

1. What is the LCM of 887 and 893?

Answer: LCM of 887 and 893 is 792091.

2. 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.

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 887 and 893?

Answer:

Least Common Multiple of 887 and 893 = 792091

Step 1: Find the prime factorization of 887

887 = 887

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 = 792091 = 19 x 47 x 887

Step 4: Therefore, the least common multiple of 887 and 893 is 792091.