Least Common Multiple of 886 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 886 and 889 the smallest integer that is 787654 that is divisible by both numbers.

Least Common Multiple (LCM) of 886 and 889 is 787654.

LCM(886,889) = 787654

LCM of 886 and 889

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

LCM of:
and

Least Common Multiple of 886 and 889

LCM of 886 and 889 is 787654

Least common multiple can be found by multiplying the highest exponent prime factors of 886 and 889. First we will calculate the prime factors of 886 and 889.

Prime Factorization of 886


2 886
443 443
1

Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:

886 = 21×4431

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 886 and 889.

LCM(886,889) = 21×71×1271×4431
LCM(886,889) = 787654

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Factors of 889

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

1, 7, 127, 889

Least Common Multiple of 886 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 886 and 889, than apply into the LCM equation.

GCF(886,889) = 1
LCM(886,889) = ( 886 × 889) / 1
LCM(886,889) = 787654 / 1
LCM(886,889) = 787654

Properties of LCM 886 and 889

(i) The LCM of 889 and 886 is associative

LCM of 886 and 889 = LCM of 889 and 886

Related Least Common Multiples of 886

Related Least Common Multiples of 889

Frequently Asked Questions on LCM of 886 and 889

1. What is the LCM of 886 and 889?

Answer: LCM of 886 and 889 is 787654.

2. What are the Factors of 886?

Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.

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 886 and 889?

Answer:

Least Common Multiple of 886 and 889 = 787654

Step 1: Find the prime factorization of 886

886 = 2 x 443

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 = 787654 = 2 x 7 x 127 x 443

Step 4: Therefore, the least common multiple of 886 and 889 is 787654.