Least Common Multiple of 887 and 889

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 889 the smallest integer that is 788543 that is divisible by both numbers.

Least Common Multiple (LCM) of 887 and 889 is 788543.

LCM(887,889) = 788543

LCM of 887 and 889

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

LCM of:
and

Least Common Multiple of 887 and 889

LCM of 887 and 889 is 788543

Least common multiple can be found by multiplying the highest exponent prime factors of 887 and 889. First we will calculate the prime factors of 887 and 889.

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 889


7 889
127 127
1

Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:

889 = 71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 887 and 889.

LCM(887,889) = 71×1271×8871
LCM(887,889) = 788543

Factors of 887

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

1, 887

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Least Common Multiple of 887 and 889 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 889, than apply into the LCM equation.

GCF(887,889) = 1
LCM(887,889) = ( 887 × 889) / 1
LCM(887,889) = 788543 / 1
LCM(887,889) = 788543

Properties of LCM 887 and 889

(i) The LCM of 889 and 887 is associative

LCM of 887 and 889 = LCM of 889 and 887

Related Least Common Multiples of 887

Related Least Common Multiples of 889

Frequently Asked Questions on LCM of 887 and 889

1. What is the LCM of 887 and 889?

Answer: LCM of 887 and 889 is 788543.

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 889?

Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.

4. How to Find the LCM of 887 and 889?

Answer:

Least Common Multiple of 887 and 889 = 788543

Step 1: Find the prime factorization of 887

887 = 887

Step 2: Find the prime factorization of 889

889 = 7 x 127

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

LCM = 788543 = 7 x 127 x 887

Step 4: Therefore, the least common multiple of 887 and 889 is 788543.