Least Common Multiple of 882 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 882 and 888 the smallest integer that is 130536 that is divisible by both numbers.

Least Common Multiple (LCM) of 882 and 888 is 130536.

LCM(882,888) = 130536

LCM of 882 and 888

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

LCM of:
and

Least Common Multiple of 882 and 888

LCM of 882 and 888 is 130536

Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 888. First we will calculate the prime factors of 882 and 888.

Prime Factorization of 882


2 882
3 441
3 147
7 49
7 7
1

Prime factors of 882 are 2, 3,7. Prime factorization of 882 in exponential form is:

882 = 21×32×72

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 882 and 888.

LCM(882,888) = 23×32×72×371
LCM(882,888) = 130536

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 882 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 882 and 888, than apply into the LCM equation.

GCF(882,888) = 6
LCM(882,888) = ( 882 × 888) / 6
LCM(882,888) = 783216 / 6
LCM(882,888) = 130536

Properties of LCM 882 and 888

(i) The LCM of 888 and 882 is associative

LCM of 882 and 888 = LCM of 888 and 882

Related Least Common Multiples of 882

Related Least Common Multiples of 888

Frequently Asked Questions on LCM of 882 and 888

1. What is the LCM of 882 and 888?

Answer: LCM of 882 and 888 is 130536.

2. What are the Factors of 882?

Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.

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 882 and 888?

Answer:

Least Common Multiple of 882 and 888 = 130536

Step 1: Find the prime factorization of 882

882 = 2 x 3 x 3 x 7 x 7

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 = 130536 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 37

Step 4: Therefore, the least common multiple of 882 and 888 is 130536.