Least Common Multiple of 880 and 888

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 888 the smallest integer that is 97680 that is divisible by both numbers.

Least Common Multiple (LCM) of 880 and 888 is 97680.

LCM(880,888) = 97680

LCM of 880 and 888

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

LCM of:
and

Least Common Multiple of 880 and 888

LCM of 880 and 888 is 97680

Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 888. First we will calculate the prime factors of 880 and 888.

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 888


2 888
2 444
2 222
3 111
37 37
1

Prime factors of 888 are 2, 3,37. Prime factorization of 888 in exponential form is:

888 = 23×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 880 and 888.

LCM(880,888) = 24×31×51×111×371
LCM(880,888) = 97680

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 888

List of positive integer factors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Least Common Multiple of 880 and 888 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 888, than apply into the LCM equation.

GCF(880,888) = 8
LCM(880,888) = ( 880 × 888) / 8
LCM(880,888) = 781440 / 8
LCM(880,888) = 97680

Properties of LCM 880 and 888

(i) The LCM of 888 and 880 is associative

LCM of 880 and 888 = LCM of 888 and 880

Related Least Common Multiples of 880

Related Least Common Multiples of 888

Frequently Asked Questions on LCM of 880 and 888

1. What is the LCM of 880 and 888?

Answer: LCM of 880 and 888 is 97680.

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 888?

Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.

4. How to Find the LCM of 880 and 888?

Answer:

Least Common Multiple of 880 and 888 = 97680

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 888

888 = 2 x 2 x 2 x 3 x 37

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

LCM = 97680 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 880 and 888 is 97680.