Least Common Multiple of 1885 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 1885 and 1890 the smallest integer that is 712530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1885 and 1890 is 712530.

LCM(1885,1890) = 712530

LCM of 1885 and 1890

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

LCM of:
and

Least Common Multiple of 1885 and 1890

LCM of 1885 and 1890 is 712530

Least common multiple can be found by multiplying the highest exponent prime factors of 1885 and 1890. First we will calculate the prime factors of 1885 and 1890.

Prime Factorization of 1885


5 1885
13 377
29 29
1

Prime factors of 1885 are 5, 13,29. Prime factorization of 1885 in exponential form is:

1885 = 51×131×291

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 1885 and 1890.

LCM(1885,1890) = 21×33×51×71×131×291
LCM(1885,1890) = 712530

Factors of 1885

List of positive integer factors of 1885 that divides 1885 without a remainder.

1, 5, 13, 29, 65, 145, 377, 1885

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 1885 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 1885 and 1890, than apply into the LCM equation.

GCF(1885,1890) = 5
LCM(1885,1890) = ( 1885 × 1890) / 5
LCM(1885,1890) = 3562650 / 5
LCM(1885,1890) = 712530

Properties of LCM 1885 and 1890

(i) The LCM of 1890 and 1885 is associative

LCM of 1885 and 1890 = LCM of 1890 and 1885

Related Least Common Multiples of 1885

Related Least Common Multiples of 1890

Frequently Asked Questions on LCM of 1885 and 1890

1. What is the LCM of 1885 and 1890?

Answer: LCM of 1885 and 1890 is 712530.

2. What are the Factors of 1885?

Answer: Factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885. There are 8 integers that are factors of 1885. The greatest factor of 1885 is 1885.

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 1885 and 1890?

Answer:

Least Common Multiple of 1885 and 1890 = 712530

Step 1: Find the prime factorization of 1885

1885 = 5 x 13 x 29

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 = 712530 = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 29

Step 4: Therefore, the least common multiple of 1885 and 1890 is 712530.