Least Common Multiple of 886 and 888

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 888 the smallest integer that is 393384 that is divisible by both numbers.

Least Common Multiple (LCM) of 886 and 888 is 393384.

LCM(886,888) = 393384

LCM of 886 and 888

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

LCM of:
and

Least Common Multiple of 886 and 888

LCM of 886 and 888 is 393384

Least common multiple can be found by multiplying the highest exponent prime factors of 886 and 888. First we will calculate the prime factors of 886 and 888.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 886 and 888.

LCM(886,888) = 23×31×371×4431
LCM(886,888) = 393384

Factors of 886

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

1, 2, 443, 886

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

Least Common Multiple of 886 and 888 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 888, than apply into the LCM equation.

GCF(886,888) = 2
LCM(886,888) = ( 886 × 888) / 2
LCM(886,888) = 786768 / 2
LCM(886,888) = 393384

Properties of LCM 886 and 888

(i) The LCM of 888 and 886 is associative

LCM of 886 and 888 = LCM of 888 and 886

Related Least Common Multiples of 886

Related Least Common Multiples of 888

Frequently Asked Questions on LCM of 886 and 888

1. What is the LCM of 886 and 888?

Answer: LCM of 886 and 888 is 393384.

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 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.

4. How to Find the LCM of 886 and 888?

Answer:

Least Common Multiple of 886 and 888 = 393384

Step 1: Find the prime factorization of 886

886 = 2 x 443

Step 2: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

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

LCM = 393384 = 2 x 2 x 2 x 3 x 37 x 443

Step 4: Therefore, the least common multiple of 886 and 888 is 393384.