Least Common Multiple of 882 and 886

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 886 the smallest integer that is 390726 that is divisible by both numbers.

Least Common Multiple (LCM) of 882 and 886 is 390726.

LCM(882,886) = 390726

LCM of 882 and 886

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

LCM of:
and

Least Common Multiple of 882 and 886

LCM of 882 and 886 is 390726

Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 886. First we will calculate the prime factors of 882 and 886.

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 886


2 886
443 443
1

Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:

886 = 21×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 882 and 886.

LCM(882,886) = 21×32×72×4431
LCM(882,886) = 390726

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 886

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

1, 2, 443, 886

Least Common Multiple of 882 and 886 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 886, than apply into the LCM equation.

GCF(882,886) = 2
LCM(882,886) = ( 882 × 886) / 2
LCM(882,886) = 781452 / 2
LCM(882,886) = 390726

Properties of LCM 882 and 886

(i) The LCM of 886 and 882 is associative

LCM of 882 and 886 = LCM of 886 and 882

Related Least Common Multiples of 882

Related Least Common Multiples of 886

Frequently Asked Questions on LCM of 882 and 886

1. What is the LCM of 882 and 886?

Answer: LCM of 882 and 886 is 390726.

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 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.

4. How to Find the LCM of 882 and 886?

Answer:

Least Common Multiple of 882 and 886 = 390726

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 886

886 = 2 x 443

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

LCM = 390726 = 2 x 3 x 3 x 7 x 7 x 443

Step 4: Therefore, the least common multiple of 882 and 886 is 390726.