Least Common Multiple of 1890 and 1898

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 1898 the smallest integer that is 1793610 that is divisible by both numbers.

Least Common Multiple (LCM) of 1890 and 1898 is 1793610.

LCM(1890,1898) = 1793610

LCM of 1890 and 1898

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

LCM of:
and

Least Common Multiple of 1890 and 1898

LCM of 1890 and 1898 is 1793610

Least common multiple can be found by multiplying the highest exponent prime factors of 1890 and 1898. First we will calculate the prime factors of 1890 and 1898.

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 1898


2 1898
13 949
73 73
1

Prime factors of 1898 are 2, 13,73. Prime factorization of 1898 in exponential form is:

1898 = 21×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1890 and 1898.

LCM(1890,1898) = 21×33×51×71×131×731
LCM(1890,1898) = 1793610

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 1898

List of positive integer factors of 1898 that divides 1898 without a remainder.

1, 2, 13, 26, 73, 146, 949, 1898

Least Common Multiple of 1890 and 1898 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 1898, than apply into the LCM equation.

GCF(1890,1898) = 2
LCM(1890,1898) = ( 1890 × 1898) / 2
LCM(1890,1898) = 3587220 / 2
LCM(1890,1898) = 1793610

Properties of LCM 1890 and 1898

(i) The LCM of 1898 and 1890 is associative

LCM of 1890 and 1898 = LCM of 1898 and 1890

Related Least Common Multiples of 1890

Related Least Common Multiples of 1898

Frequently Asked Questions on LCM of 1890 and 1898

1. What is the LCM of 1890 and 1898?

Answer: LCM of 1890 and 1898 is 1793610.

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 1898?

Answer: Factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898. There are 8 integers that are factors of 1898. The greatest factor of 1898 is 1898.

4. How to Find the LCM of 1890 and 1898?

Answer:

Least Common Multiple of 1890 and 1898 = 1793610

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 1898

1898 = 2 x 13 x 73

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

LCM = 1793610 = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 73

Step 4: Therefore, the least common multiple of 1890 and 1898 is 1793610.