Least Common Multiple of 1882 and 1887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1882 and 1887 the smallest integer that is 3551334 that is divisible by both numbers.

Least Common Multiple (LCM) of 1882 and 1887 is 3551334.

LCM(1882,1887) = 3551334

LCM of 1882 and 1887

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

LCM of:
and

Least Common Multiple of 1882 and 1887

LCM of 1882 and 1887 is 3551334

Least common multiple can be found by multiplying the highest exponent prime factors of 1882 and 1887. First we will calculate the prime factors of 1882 and 1887.

Prime Factorization of 1882


2 1882
941 941
1

Prime factors of 1882 are 2,941. Prime factorization of 1882 in exponential form is:

1882 = 21×9411

Prime Factorization of 1887


3 1887
17 629
37 37
1

Prime factors of 1887 are 3, 17,37. Prime factorization of 1887 in exponential form is:

1887 = 31×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1882 and 1887.

LCM(1882,1887) = 21×31×171×371×9411
LCM(1882,1887) = 3551334

Factors of 1882

List of positive integer factors of 1882 that divides 1882 without a remainder.

1, 2, 941, 1882

Factors of 1887

List of positive integer factors of 1887 that divides 1887 without a remainder.

1, 3, 17, 37, 51, 111, 629, 1887

Least Common Multiple of 1882 and 1887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1882 and 1887, than apply into the LCM equation.

GCF(1882,1887) = 1
LCM(1882,1887) = ( 1882 × 1887) / 1
LCM(1882,1887) = 3551334 / 1
LCM(1882,1887) = 3551334

Properties of LCM 1882 and 1887

(i) The LCM of 1887 and 1882 is associative

LCM of 1882 and 1887 = LCM of 1887 and 1882

Related Least Common Multiples of 1882

Related Least Common Multiples of 1887

Frequently Asked Questions on LCM of 1882 and 1887

1. What is the LCM of 1882 and 1887?

Answer: LCM of 1882 and 1887 is 3551334.

2. What are the Factors of 1882?

Answer: Factors of 1882 are 1, 2, 941, 1882. There are 4 integers that are factors of 1882. The greatest factor of 1882 is 1882.

3. What are the Factors of 1887?

Answer: Factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887. There are 8 integers that are factors of 1887. The greatest factor of 1887 is 1887.

4. How to Find the LCM of 1882 and 1887?

Answer:

Least Common Multiple of 1882 and 1887 = 3551334

Step 1: Find the prime factorization of 1882

1882 = 2 x 941

Step 2: Find the prime factorization of 1887

1887 = 3 x 17 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 = 3551334 = 2 x 3 x 17 x 37 x 941

Step 4: Therefore, the least common multiple of 1882 and 1887 is 3551334.