Least Common Multiple of 882 and 885

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 885 the smallest integer that is 260190 that is divisible by both numbers.

Least Common Multiple (LCM) of 882 and 885 is 260190.

LCM(882,885) = 260190

LCM of 882 and 885

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

LCM of:
and

Least Common Multiple of 882 and 885

LCM of 882 and 885 is 260190

Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 885. First we will calculate the prime factors of 882 and 885.

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 885


3 885
5 295
59 59
1

Prime factors of 885 are 3, 5,59. Prime factorization of 885 in exponential form is:

885 = 31×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 882 and 885.

LCM(882,885) = 21×32×51×72×591
LCM(882,885) = 260190

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 885

List of positive integer factors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Least Common Multiple of 882 and 885 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 885, than apply into the LCM equation.

GCF(882,885) = 3
LCM(882,885) = ( 882 × 885) / 3
LCM(882,885) = 780570 / 3
LCM(882,885) = 260190

Properties of LCM 882 and 885

(i) The LCM of 885 and 882 is associative

LCM of 882 and 885 = LCM of 885 and 882

Related Least Common Multiples of 882

Related Least Common Multiples of 885

Frequently Asked Questions on LCM of 882 and 885

1. What is the LCM of 882 and 885?

Answer: LCM of 882 and 885 is 260190.

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 885?

Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.

4. How to Find the LCM of 882 and 885?

Answer:

Least Common Multiple of 882 and 885 = 260190

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 885

885 = 3 x 5 x 59

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

LCM = 260190 = 2 x 3 x 3 x 5 x 7 x 7 x 59

Step 4: Therefore, the least common multiple of 882 and 885 is 260190.