Least Common Multiple of 880 and 881

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 881 the smallest integer that is 775280 that is divisible by both numbers.

Least Common Multiple (LCM) of 880 and 881 is 775280.

LCM(880,881) = 775280

LCM of 880 and 881

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

LCM of:
and

Least Common Multiple of 880 and 881

LCM of 880 and 881 is 775280

Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 881. First we will calculate the prime factors of 880 and 881.

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 881


881 881
1

Prime factors of 881 are 881. Prime factorization of 881 in exponential form is:

881 = 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 880 and 881.

LCM(880,881) = 24×51×111×8811
LCM(880,881) = 775280

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 881

List of positive integer factors of 881 that divides 881 without a remainder.

1, 881

Least Common Multiple of 880 and 881 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 881, than apply into the LCM equation.

GCF(880,881) = 1
LCM(880,881) = ( 880 × 881) / 1
LCM(880,881) = 775280 / 1
LCM(880,881) = 775280

Properties of LCM 880 and 881

(i) The LCM of 881 and 880 is associative

LCM of 880 and 881 = LCM of 881 and 880

Related Least Common Multiples of 880

Related Least Common Multiples of 881

Frequently Asked Questions on LCM of 880 and 881

1. What is the LCM of 880 and 881?

Answer: LCM of 880 and 881 is 775280.

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 881?

Answer: Factors of 881 are 1, 881. There are 2 integers that are factors of 881. The greatest factor of 881 is 881.

4. How to Find the LCM of 880 and 881?

Answer:

Least Common Multiple of 880 and 881 = 775280

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 881

881 = 881

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

LCM = 775280 = 2 x 2 x 2 x 2 x 5 x 11 x 881

Step 4: Therefore, the least common multiple of 880 and 881 is 775280.