Least Common Multiple of 1889 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 1889 and 1897 the smallest integer that is 3583433 that is divisible by both numbers.

Least Common Multiple (LCM) of 1889 and 1897 is 3583433.

LCM(1889,1897) = 3583433

LCM of 1889 and 1897

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

LCM of:
and

Least Common Multiple of 1889 and 1897

LCM of 1889 and 1897 is 3583433

Least common multiple can be found by multiplying the highest exponent prime factors of 1889 and 1897. First we will calculate the prime factors of 1889 and 1897.

Prime Factorization of 1889


1889 1889
1

Prime factors of 1889 are 1889. Prime factorization of 1889 in exponential form is:

1889 = 18891

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 1889 and 1897.

LCM(1889,1897) = 71×2711×18891
LCM(1889,1897) = 3583433

Factors of 1889

List of positive integer factors of 1889 that divides 1889 without a remainder.

1, 1889

Factors of 1897

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

1, 7, 271, 1897

Least Common Multiple of 1889 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 1889 and 1897, than apply into the LCM equation.

GCF(1889,1897) = 1
LCM(1889,1897) = ( 1889 × 1897) / 1
LCM(1889,1897) = 3583433 / 1
LCM(1889,1897) = 3583433

Properties of LCM 1889 and 1897

(i) The LCM of 1897 and 1889 is associative

LCM of 1889 and 1897 = LCM of 1897 and 1889

Related Least Common Multiples of 1889

Related Least Common Multiples of 1897

Frequently Asked Questions on LCM of 1889 and 1897

1. What is the LCM of 1889 and 1897?

Answer: LCM of 1889 and 1897 is 3583433.

2. What are the Factors of 1889?

Answer: Factors of 1889 are 1, 1889. There are 2 integers that are factors of 1889. The greatest factor of 1889 is 1889.

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 1889 and 1897?

Answer:

Least Common Multiple of 1889 and 1897 = 3583433

Step 1: Find the prime factorization of 1889

1889 = 1889

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 = 3583433 = 7 x 271 x 1889

Step 4: Therefore, the least common multiple of 1889 and 1897 is 3583433.