Least Common Multiple of 880 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 880 and 884 the smallest integer that is 194480 that is divisible by both numbers.

Least Common Multiple (LCM) of 880 and 884 is 194480.

LCM(880,884) = 194480

LCM of 880 and 884

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

LCM of:
and

Least Common Multiple of 880 and 884

LCM of 880 and 884 is 194480

Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 884. First we will calculate the prime factors of 880 and 884.

Prime Factorization of 880


2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 880 are 2, 5,11. Prime factorization of 880 in exponential form is:

880 = 24×51×111

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 880 and 884.

LCM(880,884) = 24×51×111×131×171
LCM(880,884) = 194480

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 880 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 880 and 884, than apply into the LCM equation.

GCF(880,884) = 4
LCM(880,884) = ( 880 × 884) / 4
LCM(880,884) = 777920 / 4
LCM(880,884) = 194480

Properties of LCM 880 and 884

(i) The LCM of 884 and 880 is associative

LCM of 880 and 884 = LCM of 884 and 880

Related Least Common Multiples of 880

Related Least Common Multiples of 884

Frequently Asked Questions on LCM of 880 and 884

1. What is the LCM of 880 and 884?

Answer: LCM of 880 and 884 is 194480.

2. What are the Factors of 880?

Answer: Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. There are 20 integers that are factors of 880. The greatest factor of 880 is 880.

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 880 and 884?

Answer:

Least Common Multiple of 880 and 884 = 194480

Step 1: Find the prime factorization of 880

880 = 2 x 2 x 2 x 2 x 5 x 11

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 = 194480 = 2 x 2 x 2 x 2 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 880 and 884 is 194480.