Least Common Multiple of 1882 and 1890

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 1890 the smallest integer that is 1778490 that is divisible by both numbers.

Least Common Multiple (LCM) of 1882 and 1890 is 1778490.

LCM(1882,1890) = 1778490

LCM of 1882 and 1890

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

LCM of:
and

Least Common Multiple of 1882 and 1890

LCM of 1882 and 1890 is 1778490

Least common multiple can be found by multiplying the highest exponent prime factors of 1882 and 1890. First we will calculate the prime factors of 1882 and 1890.

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 1890


2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 1890 are 2, 3, 5,7. Prime factorization of 1890 in exponential form is:

1890 = 21×33×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1882 and 1890.

LCM(1882,1890) = 21×33×51×71×9411
LCM(1882,1890) = 1778490

Factors of 1882

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

1, 2, 941, 1882

Factors of 1890

List of positive integer factors of 1890 that divides 1890 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890

Least Common Multiple of 1882 and 1890 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 1890, than apply into the LCM equation.

GCF(1882,1890) = 2
LCM(1882,1890) = ( 1882 × 1890) / 2
LCM(1882,1890) = 3556980 / 2
LCM(1882,1890) = 1778490

Properties of LCM 1882 and 1890

(i) The LCM of 1890 and 1882 is associative

LCM of 1882 and 1890 = LCM of 1890 and 1882

Related Least Common Multiples of 1882

Related Least Common Multiples of 1890

Frequently Asked Questions on LCM of 1882 and 1890

1. What is the LCM of 1882 and 1890?

Answer: LCM of 1882 and 1890 is 1778490.

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 1890?

Answer: Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890. There are 32 integers that are factors of 1890. The greatest factor of 1890 is 1890.

4. How to Find the LCM of 1882 and 1890?

Answer:

Least Common Multiple of 1882 and 1890 = 1778490

Step 1: Find the prime factorization of 1882

1882 = 2 x 941

Step 2: Find the prime factorization of 1890

1890 = 2 x 3 x 3 x 3 x 5 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 = 1778490 = 2 x 3 x 3 x 3 x 5 x 7 x 941

Step 4: Therefore, the least common multiple of 1882 and 1890 is 1778490.