Least Common Multiple of 888 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 888 and 893 the smallest integer that is 792984 that is divisible by both numbers.

Least Common Multiple (LCM) of 888 and 893 is 792984.

LCM(888,893) = 792984

LCM of 888 and 893

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

LCM of:
and

Least Common Multiple of 888 and 893

LCM of 888 and 893 is 792984

Least common multiple can be found by multiplying the highest exponent prime factors of 888 and 893. First we will calculate the prime factors of 888 and 893.

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 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 888 and 893.

LCM(888,893) = 23×31×191×371×471
LCM(888,893) = 792984

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 893

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

1, 19, 47, 893

Least Common Multiple of 888 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 888 and 893, than apply into the LCM equation.

GCF(888,893) = 1
LCM(888,893) = ( 888 × 893) / 1
LCM(888,893) = 792984 / 1
LCM(888,893) = 792984

Properties of LCM 888 and 893

(i) The LCM of 893 and 888 is associative

LCM of 888 and 893 = LCM of 893 and 888

Related Least Common Multiples of 888

Related Least Common Multiples of 893

Frequently Asked Questions on LCM of 888 and 893

1. What is the LCM of 888 and 893?

Answer: LCM of 888 and 893 is 792984.

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 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 888 and 893?

Answer:

Least Common Multiple of 888 and 893 = 792984

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 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 = 792984 = 2 x 2 x 2 x 3 x 19 x 37 x 47

Step 4: Therefore, the least common multiple of 888 and 893 is 792984.