Least Common Multiple of 880 and 882

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 882 the smallest integer that is 388080 that is divisible by both numbers.

Least Common Multiple (LCM) of 880 and 882 is 388080.

LCM(880,882) = 388080

LCM of 880 and 882

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

LCM of:
and

Least Common Multiple of 880 and 882

LCM of 880 and 882 is 388080

Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 882. First we will calculate the prime factors of 880 and 882.

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 882


2 882
3 441
3 147
7 49
7 7
1

Prime factors of 882 are 2, 3,7. Prime factorization of 882 in exponential form is:

882 = 21×32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 880 and 882.

LCM(880,882) = 24×32×51×72×111
LCM(880,882) = 388080

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 882

List of positive integer factors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Least Common Multiple of 880 and 882 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 882, than apply into the LCM equation.

GCF(880,882) = 2
LCM(880,882) = ( 880 × 882) / 2
LCM(880,882) = 776160 / 2
LCM(880,882) = 388080

Properties of LCM 880 and 882

(i) The LCM of 882 and 880 is associative

LCM of 880 and 882 = LCM of 882 and 880

Related Least Common Multiples of 880

Related Least Common Multiples of 882

Frequently Asked Questions on LCM of 880 and 882

1. What is the LCM of 880 and 882?

Answer: LCM of 880 and 882 is 388080.

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 882?

Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.

4. How to Find the LCM of 880 and 882?

Answer:

Least Common Multiple of 880 and 882 = 388080

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 882

882 = 2 x 3 x 3 x 7 x 7

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

LCM = 388080 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 880 and 882 is 388080.