Least Common Multiple of 1890 and 1897

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 1897 the smallest integer that is 512190 that is divisible by both numbers.

Least Common Multiple (LCM) of 1890 and 1897 is 512190.

LCM(1890,1897) = 512190

LCM of 1890 and 1897

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

LCM of:
and

Least Common Multiple of 1890 and 1897

LCM of 1890 and 1897 is 512190

Least common multiple can be found by multiplying the highest exponent prime factors of 1890 and 1897. First we will calculate the prime factors of 1890 and 1897.

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 1897


7 1897
271 271
1

Prime factors of 1897 are 7,271. Prime factorization of 1897 in exponential form is:

1897 = 71×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1890 and 1897.

LCM(1890,1897) = 21×33×51×71×2711
LCM(1890,1897) = 512190

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 1897

List of positive integer factors of 1897 that divides 1897 without a remainder.

1, 7, 271, 1897

Least Common Multiple of 1890 and 1897 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 1897, than apply into the LCM equation.

GCF(1890,1897) = 7
LCM(1890,1897) = ( 1890 × 1897) / 7
LCM(1890,1897) = 3585330 / 7
LCM(1890,1897) = 512190

Properties of LCM 1890 and 1897

(i) The LCM of 1897 and 1890 is associative

LCM of 1890 and 1897 = LCM of 1897 and 1890

Related Least Common Multiples of 1890

Related Least Common Multiples of 1897

Frequently Asked Questions on LCM of 1890 and 1897

1. What is the LCM of 1890 and 1897?

Answer: LCM of 1890 and 1897 is 512190.

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 1897?

Answer: Factors of 1897 are 1, 7, 271, 1897. There are 4 integers that are factors of 1897. The greatest factor of 1897 is 1897.

4. How to Find the LCM of 1890 and 1897?

Answer:

Least Common Multiple of 1890 and 1897 = 512190

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 1897

1897 = 7 x 271

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

LCM = 512190 = 2 x 3 x 3 x 3 x 5 x 7 x 271

Step 4: Therefore, the least common multiple of 1890 and 1897 is 512190.