Least Common Multiple of 880 and 887

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 887 the smallest integer that is 780560 that is divisible by both numbers.

Least Common Multiple (LCM) of 880 and 887 is 780560.

LCM(880,887) = 780560

LCM of 880 and 887

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

LCM of:
and

Least Common Multiple of 880 and 887

LCM of 880 and 887 is 780560

Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 887. First we will calculate the prime factors of 880 and 887.

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 887


887 887
1

Prime factors of 887 are 887. Prime factorization of 887 in exponential form is:

887 = 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 880 and 887.

LCM(880,887) = 24×51×111×8871
LCM(880,887) = 780560

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 887

List of positive integer factors of 887 that divides 887 without a remainder.

1, 887

Least Common Multiple of 880 and 887 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 887, than apply into the LCM equation.

GCF(880,887) = 1
LCM(880,887) = ( 880 × 887) / 1
LCM(880,887) = 780560 / 1
LCM(880,887) = 780560

Properties of LCM 880 and 887

(i) The LCM of 887 and 880 is associative

LCM of 880 and 887 = LCM of 887 and 880

Related Least Common Multiples of 880

Related Least Common Multiples of 887

Frequently Asked Questions on LCM of 880 and 887

1. What is the LCM of 880 and 887?

Answer: LCM of 880 and 887 is 780560.

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 887?

Answer: Factors of 887 are 1, 887. There are 2 integers that are factors of 887. The greatest factor of 887 is 887.

4. How to Find the LCM of 880 and 887?

Answer:

Least Common Multiple of 880 and 887 = 780560

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 887

887 = 887

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

LCM = 780560 = 2 x 2 x 2 x 2 x 5 x 11 x 887

Step 4: Therefore, the least common multiple of 880 and 887 is 780560.