Least Common Multiple of 1890 and 1895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1890 and 1895 the smallest integer that is 716310 that is divisible by both numbers.

Least Common Multiple (LCM) of 1890 and 1895 is 716310.

LCM(1890,1895) = 716310

LCM of 1890 and 1895

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

LCM of:
and

Least Common Multiple of 1890 and 1895

LCM of 1890 and 1895 is 716310

Least common multiple can be found by multiplying the highest exponent prime factors of 1890 and 1895. First we will calculate the prime factors of 1890 and 1895.

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

Prime Factorization of 1895


5 1895
379 379
1

Prime factors of 1895 are 5,379. Prime factorization of 1895 in exponential form is:

1895 = 51×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 1890 and 1895.

LCM(1890,1895) = 21×33×51×71×3791
LCM(1890,1895) = 716310

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

Factors of 1895

List of positive integer factors of 1895 that divides 1895 without a remainder.

1, 5, 379, 1895

Least Common Multiple of 1890 and 1895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1890 and 1895, than apply into the LCM equation.

GCF(1890,1895) = 5
LCM(1890,1895) = ( 1890 × 1895) / 5
LCM(1890,1895) = 3581550 / 5
LCM(1890,1895) = 716310

Properties of LCM 1890 and 1895

(i) The LCM of 1895 and 1890 is associative

LCM of 1890 and 1895 = LCM of 1895 and 1890

Related Least Common Multiples of 1890

Related Least Common Multiples of 1895

Frequently Asked Questions on LCM of 1890 and 1895

1. What is the LCM of 1890 and 1895?

Answer: LCM of 1890 and 1895 is 716310.

2. 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.

3. What are the Factors of 1895?

Answer: Factors of 1895 are 1, 5, 379, 1895. There are 4 integers that are factors of 1895. The greatest factor of 1895 is 1895.

4. How to Find the LCM of 1890 and 1895?

Answer:

Least Common Multiple of 1890 and 1895 = 716310

Step 1: Find the prime factorization of 1890

1890 = 2 x 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 1895

1895 = 5 x 379

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

LCM = 716310 = 2 x 3 x 3 x 3 x 5 x 7 x 379

Step 4: Therefore, the least common multiple of 1890 and 1895 is 716310.