Least Common Multiple of 884 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 884 and 888 the smallest integer that is 196248 that is divisible by both numbers.

Least Common Multiple (LCM) of 884 and 888 is 196248.

LCM(884,888) = 196248

LCM of 884 and 888

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

LCM of:
and

Least Common Multiple of 884 and 888

LCM of 884 and 888 is 196248

Least common multiple can be found by multiplying the highest exponent prime factors of 884 and 888. First we will calculate the prime factors of 884 and 888.

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2, 13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

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 884 and 888.

LCM(884,888) = 23×31×131×171×371
LCM(884,888) = 196248

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 884 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 884 and 888, than apply into the LCM equation.

GCF(884,888) = 4
LCM(884,888) = ( 884 × 888) / 4
LCM(884,888) = 784992 / 4
LCM(884,888) = 196248

Properties of LCM 884 and 888

(i) The LCM of 888 and 884 is associative

LCM of 884 and 888 = LCM of 888 and 884

Related Least Common Multiples of 884

Related Least Common Multiples of 888

Frequently Asked Questions on LCM of 884 and 888

1. What is the LCM of 884 and 888?

Answer: LCM of 884 and 888 is 196248.

2. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

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 884 and 888?

Answer:

Least Common Multiple of 884 and 888 = 196248

Step 1: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

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 = 196248 = 2 x 2 x 2 x 3 x 13 x 17 x 37

Step 4: Therefore, the least common multiple of 884 and 888 is 196248.