Least Common Multiple of 880 and 886

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 886 the smallest integer that is 389840 that is divisible by both numbers.

Least Common Multiple (LCM) of 880 and 886 is 389840.

LCM(880,886) = 389840

LCM of 880 and 886

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

LCM of:
and

Least Common Multiple of 880 and 886

LCM of 880 and 886 is 389840

Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 886. First we will calculate the prime factors of 880 and 886.

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 886


2 886
443 443
1

Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:

886 = 21×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 880 and 886.

LCM(880,886) = 24×51×111×4431
LCM(880,886) = 389840

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 886

List of positive integer factors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Least Common Multiple of 880 and 886 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 886, than apply into the LCM equation.

GCF(880,886) = 2
LCM(880,886) = ( 880 × 886) / 2
LCM(880,886) = 779680 / 2
LCM(880,886) = 389840

Properties of LCM 880 and 886

(i) The LCM of 886 and 880 is associative

LCM of 880 and 886 = LCM of 886 and 880

Related Least Common Multiples of 880

Related Least Common Multiples of 886

Frequently Asked Questions on LCM of 880 and 886

1. What is the LCM of 880 and 886?

Answer: LCM of 880 and 886 is 389840.

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 886?

Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.

4. How to Find the LCM of 880 and 886?

Answer:

Least Common Multiple of 880 and 886 = 389840

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 886

886 = 2 x 443

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

LCM = 389840 = 2 x 2 x 2 x 2 x 5 x 11 x 443

Step 4: Therefore, the least common multiple of 880 and 886 is 389840.