Least Common Multiple of 887 and 895

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 895 the smallest integer that is 793865 that is divisible by both numbers.

Least Common Multiple (LCM) of 887 and 895 is 793865.

LCM(887,895) = 793865

LCM of 887 and 895

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

LCM of:
and

Least Common Multiple of 887 and 895

LCM of 887 and 895 is 793865

Least common multiple can be found by multiplying the highest exponent prime factors of 887 and 895. First we will calculate the prime factors of 887 and 895.

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 895


5 895
179 179
1

Prime factors of 895 are 5,179. Prime factorization of 895 in exponential form is:

895 = 51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 887 and 895.

LCM(887,895) = 51×1791×8871
LCM(887,895) = 793865

Factors of 887

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

1, 887

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Least Common Multiple of 887 and 895 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 895, than apply into the LCM equation.

GCF(887,895) = 1
LCM(887,895) = ( 887 × 895) / 1
LCM(887,895) = 793865 / 1
LCM(887,895) = 793865

Properties of LCM 887 and 895

(i) The LCM of 895 and 887 is associative

LCM of 887 and 895 = LCM of 895 and 887

Related Least Common Multiples of 887

Related Least Common Multiples of 895

Frequently Asked Questions on LCM of 887 and 895

1. What is the LCM of 887 and 895?

Answer: LCM of 887 and 895 is 793865.

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 895?

Answer: Factors of 895 are 1, 5, 179, 895. There are 4 integers that are factors of 895. The greatest factor of 895 is 895.

4. How to Find the LCM of 887 and 895?

Answer:

Least Common Multiple of 887 and 895 = 793865

Step 1: Find the prime factorization of 887

887 = 887

Step 2: Find the prime factorization of 895

895 = 5 x 179

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

LCM = 793865 = 5 x 179 x 887

Step 4: Therefore, the least common multiple of 887 and 895 is 793865.