Least Common Multiple of 1893 and 1899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1893 and 1899 the smallest integer that is 1198269 that is divisible by both numbers.

Least Common Multiple (LCM) of 1893 and 1899 is 1198269.

LCM(1893,1899) = 1198269

LCM of 1893 and 1899

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

LCM of:
and

Least Common Multiple of 1893 and 1899

LCM of 1893 and 1899 is 1198269

Least common multiple can be found by multiplying the highest exponent prime factors of 1893 and 1899. First we will calculate the prime factors of 1893 and 1899.

Prime Factorization of 1893


3 1893
631 631
1

Prime factors of 1893 are 3,631. Prime factorization of 1893 in exponential form is:

1893 = 31×6311

Prime Factorization of 1899


3 1899
3 633
211 211
1

Prime factors of 1899 are 3,211. Prime factorization of 1899 in exponential form is:

1899 = 32×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 1893 and 1899.

LCM(1893,1899) = 32×2111×6311
LCM(1893,1899) = 1198269

Factors of 1893

List of positive integer factors of 1893 that divides 1893 without a remainder.

1, 3, 631, 1893

Factors of 1899

List of positive integer factors of 1899 that divides 1899 without a remainder.

1, 3, 9, 211, 633, 1899

Least Common Multiple of 1893 and 1899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1893 and 1899, than apply into the LCM equation.

GCF(1893,1899) = 3
LCM(1893,1899) = ( 1893 × 1899) / 3
LCM(1893,1899) = 3594807 / 3
LCM(1893,1899) = 1198269

Properties of LCM 1893 and 1899

(i) The LCM of 1899 and 1893 is associative

LCM of 1893 and 1899 = LCM of 1899 and 1893

Related Least Common Multiples of 1893

Related Least Common Multiples of 1899

Frequently Asked Questions on LCM of 1893 and 1899

1. What is the LCM of 1893 and 1899?

Answer: LCM of 1893 and 1899 is 1198269.

2. What are the Factors of 1893?

Answer: Factors of 1893 are 1, 3, 631, 1893. There are 4 integers that are factors of 1893. The greatest factor of 1893 is 1893.

3. What are the Factors of 1899?

Answer: Factors of 1899 are 1, 3, 9, 211, 633, 1899. There are 6 integers that are factors of 1899. The greatest factor of 1899 is 1899.

4. How to Find the LCM of 1893 and 1899?

Answer:

Least Common Multiple of 1893 and 1899 = 1198269

Step 1: Find the prime factorization of 1893

1893 = 3 x 631

Step 2: Find the prime factorization of 1899

1899 = 3 x 3 x 211

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

LCM = 1198269 = 3 x 3 x 211 x 631

Step 4: Therefore, the least common multiple of 1893 and 1899 is 1198269.