Least Common Multiple of 888 and 894

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 894 the smallest integer that is 132312 that is divisible by both numbers.

Least Common Multiple (LCM) of 888 and 894 is 132312.

LCM(888,894) = 132312

LCM of 888 and 894

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

LCM of:
and

Least Common Multiple of 888 and 894

LCM of 888 and 894 is 132312

Least common multiple can be found by multiplying the highest exponent prime factors of 888 and 894. First we will calculate the prime factors of 888 and 894.

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 894


2 894
3 447
149 149
1

Prime factors of 894 are 2, 3,149. Prime factorization of 894 in exponential form is:

894 = 21×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 888 and 894.

LCM(888,894) = 23×31×371×1491
LCM(888,894) = 132312

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 894

List of positive integer factors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Least Common Multiple of 888 and 894 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 894, than apply into the LCM equation.

GCF(888,894) = 6
LCM(888,894) = ( 888 × 894) / 6
LCM(888,894) = 793872 / 6
LCM(888,894) = 132312

Properties of LCM 888 and 894

(i) The LCM of 894 and 888 is associative

LCM of 888 and 894 = LCM of 894 and 888

Related Least Common Multiples of 888

Related Least Common Multiples of 894

Frequently Asked Questions on LCM of 888 and 894

1. What is the LCM of 888 and 894?

Answer: LCM of 888 and 894 is 132312.

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 894?

Answer: Factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894. There are 8 integers that are factors of 894. The greatest factor of 894 is 894.

4. How to Find the LCM of 888 and 894?

Answer:

Least Common Multiple of 888 and 894 = 132312

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 894

894 = 2 x 3 x 149

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

LCM = 132312 = 2 x 2 x 2 x 3 x 37 x 149

Step 4: Therefore, the least common multiple of 888 and 894 is 132312.