Least Common Multiple of 883 and 884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 883 and 884 the smallest integer that is 780572 that is divisible by both numbers.

Least Common Multiple (LCM) of 883 and 884 is 780572.

LCM(883,884) = 780572

LCM of 883 and 884

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

LCM of:
and

Least Common Multiple of 883 and 884

LCM of 883 and 884 is 780572

Least common multiple can be found by multiplying the highest exponent prime factors of 883 and 884. First we will calculate the prime factors of 883 and 884.

Prime Factorization of 883


883 883
1

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

883 = 8831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 883 and 884.

LCM(883,884) = 22×131×171×8831
LCM(883,884) = 780572

Factors of 883

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

1, 883

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

Least Common Multiple of 883 and 884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 883 and 884, than apply into the LCM equation.

GCF(883,884) = 1
LCM(883,884) = ( 883 × 884) / 1
LCM(883,884) = 780572 / 1
LCM(883,884) = 780572

Properties of LCM 883 and 884

(i) The LCM of 884 and 883 is associative

LCM of 883 and 884 = LCM of 884 and 883

Related Least Common Multiples of 883

Related Least Common Multiples of 884

Frequently Asked Questions on LCM of 883 and 884

1. What is the LCM of 883 and 884?

Answer: LCM of 883 and 884 is 780572.

2. 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.

3. 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.

4. How to Find the LCM of 883 and 884?

Answer:

Least Common Multiple of 883 and 884 = 780572

Step 1: Find the prime factorization of 883

883 = 883

Step 2: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

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

LCM = 780572 = 2 x 2 x 13 x 17 x 883

Step 4: Therefore, the least common multiple of 883 and 884 is 780572.