Least Common Multiple of 880 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 880 and 885 the smallest integer that is 155760 that is divisible by both numbers.

Least Common Multiple (LCM) of 880 and 885 is 155760.

LCM(880,885) = 155760

LCM of 880 and 885

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

LCM of:
and

Least Common Multiple of 880 and 885

LCM of 880 and 885 is 155760

Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 885. First we will calculate the prime factors of 880 and 885.

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 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 880 and 885.

LCM(880,885) = 24×31×51×111×591
LCM(880,885) = 155760

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 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 880 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 880 and 885, than apply into the LCM equation.

GCF(880,885) = 5
LCM(880,885) = ( 880 × 885) / 5
LCM(880,885) = 778800 / 5
LCM(880,885) = 155760

Properties of LCM 880 and 885

(i) The LCM of 885 and 880 is associative

LCM of 880 and 885 = LCM of 885 and 880

Related Least Common Multiples of 880

Related Least Common Multiples of 885

Frequently Asked Questions on LCM of 880 and 885

1. What is the LCM of 880 and 885?

Answer: LCM of 880 and 885 is 155760.

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 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 880 and 885?

Answer:

Least Common Multiple of 880 and 885 = 155760

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 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 = 155760 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 59

Step 4: Therefore, the least common multiple of 880 and 885 is 155760.