Least Common Multiple of 888 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 888 and 889 the smallest integer that is 789432 that is divisible by both numbers.

Least Common Multiple (LCM) of 888 and 889 is 789432.

LCM(888,889) = 789432

LCM of 888 and 889

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

LCM of:
and

Least Common Multiple of 888 and 889

LCM of 888 and 889 is 789432

Least common multiple can be found by multiplying the highest exponent prime factors of 888 and 889. First we will calculate the prime factors of 888 and 889.

Prime Factorization of 888


2 888
2 444
2 222
3 111
37 37
1

Prime factors of 888 are 2, 3,37. Prime factorization of 888 in exponential form is:

888 = 23×31×371

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 888 and 889.

LCM(888,889) = 23×31×71×371×1271
LCM(888,889) = 789432

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Factors of 889

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

1, 7, 127, 889

Least Common Multiple of 888 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 888 and 889, than apply into the LCM equation.

GCF(888,889) = 1
LCM(888,889) = ( 888 × 889) / 1
LCM(888,889) = 789432 / 1
LCM(888,889) = 789432

Properties of LCM 888 and 889

(i) The LCM of 889 and 888 is associative

LCM of 888 and 889 = LCM of 889 and 888

Related Least Common Multiples of 888

Related Least Common Multiples of 889

Frequently Asked Questions on LCM of 888 and 889

1. What is the LCM of 888 and 889?

Answer: LCM of 888 and 889 is 789432.

2. What are the Factors of 888?

Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.

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 888 and 889?

Answer:

Least Common Multiple of 888 and 889 = 789432

Step 1: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

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 = 789432 = 2 x 2 x 2 x 3 x 7 x 37 x 127

Step 4: Therefore, the least common multiple of 888 and 889 is 789432.