Least Common Multiple of 883 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 883 and 888 the smallest integer that is 784104 that is divisible by both numbers.

Least Common Multiple (LCM) of 883 and 888 is 784104.

LCM(883,888) = 784104

LCM of 883 and 888

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

LCM of:
and

Least Common Multiple of 883 and 888

LCM of 883 and 888 is 784104

Least common multiple can be found by multiplying the highest exponent prime factors of 883 and 888. First we will calculate the prime factors of 883 and 888.

Prime Factorization of 883


883 883
1

Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:

883 = 8831

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 883 and 888.

LCM(883,888) = 23×31×371×8831
LCM(883,888) = 784104

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1, 883

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 883 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 883 and 888, than apply into the LCM equation.

GCF(883,888) = 1
LCM(883,888) = ( 883 × 888) / 1
LCM(883,888) = 784104 / 1
LCM(883,888) = 784104

Properties of LCM 883 and 888

(i) The LCM of 888 and 883 is associative

LCM of 883 and 888 = LCM of 888 and 883

Related Least Common Multiples of 883

Related Least Common Multiples of 888

Frequently Asked Questions on LCM of 883 and 888

1. What is the LCM of 883 and 888?

Answer: LCM of 883 and 888 is 784104.

2. What are the Factors of 883?

Answer: Factors of 883 are 1, 883. There are 2 integers that are factors of 883. The greatest factor of 883 is 883.

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 883 and 888?

Answer:

Least Common Multiple of 883 and 888 = 784104

Step 1: Find the prime factorization of 883

883 = 883

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 = 784104 = 2 x 2 x 2 x 3 x 37 x 883

Step 4: Therefore, the least common multiple of 883 and 888 is 784104.