Least Common Multiple of 882 and 883

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 883 the smallest integer that is 778806 that is divisible by both numbers.

Least Common Multiple (LCM) of 882 and 883 is 778806.

LCM(882,883) = 778806

LCM of 882 and 883

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

LCM of:
and

Least Common Multiple of 882 and 883

LCM of 882 and 883 is 778806

Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 883. First we will calculate the prime factors of 882 and 883.

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 883


883 883
1

Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:

883 = 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 882 and 883.

LCM(882,883) = 21×32×72×8831
LCM(882,883) = 778806

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 883

List of positive integer factors of 883 that divides 883 without a remainder.

1, 883

Least Common Multiple of 882 and 883 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 883, than apply into the LCM equation.

GCF(882,883) = 1
LCM(882,883) = ( 882 × 883) / 1
LCM(882,883) = 778806 / 1
LCM(882,883) = 778806

Properties of LCM 882 and 883

(i) The LCM of 883 and 882 is associative

LCM of 882 and 883 = LCM of 883 and 882

Related Least Common Multiples of 882

Related Least Common Multiples of 883

Frequently Asked Questions on LCM of 882 and 883

1. What is the LCM of 882 and 883?

Answer: LCM of 882 and 883 is 778806.

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 883?

Answer: Factors of 883 are 1, 883. There are 2 integers that are factors of 883. The greatest factor of 883 is 883.

4. How to Find the LCM of 882 and 883?

Answer:

Least Common Multiple of 882 and 883 = 778806

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 883

883 = 883

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

LCM = 778806 = 2 x 3 x 3 x 7 x 7 x 883

Step 4: Therefore, the least common multiple of 882 and 883 is 778806.