Least Common Multiple of 1789 and 1793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1789 and 1793 the smallest integer that is 3207677 that is divisible by both numbers.

Least Common Multiple (LCM) of 1789 and 1793 is 3207677.

LCM(1789,1793) = 3207677

LCM of 1789 and 1793

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

LCM of:
and

Least Common Multiple of 1789 and 1793

LCM of 1789 and 1793 is 3207677

Least common multiple can be found by multiplying the highest exponent prime factors of 1789 and 1793. First we will calculate the prime factors of 1789 and 1793.

Prime Factorization of 1789


1789 1789
1

Prime factors of 1789 are 1789. Prime factorization of 1789 in exponential form is:

1789 = 17891

Prime Factorization of 1793


11 1793
163 163
1

Prime factors of 1793 are 11,163. Prime factorization of 1793 in exponential form is:

1793 = 111×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1789 and 1793.

LCM(1789,1793) = 111×1631×17891
LCM(1789,1793) = 3207677

Factors of 1789

List of positive integer factors of 1789 that divides 1789 without a remainder.

1, 1789

Factors of 1793

List of positive integer factors of 1793 that divides 1793 without a remainder.

1, 11, 163, 1793

Least Common Multiple of 1789 and 1793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1789 and 1793, than apply into the LCM equation.

GCF(1789,1793) = 1
LCM(1789,1793) = ( 1789 × 1793) / 1
LCM(1789,1793) = 3207677 / 1
LCM(1789,1793) = 3207677

Properties of LCM 1789 and 1793

(i) The LCM of 1793 and 1789 is associative

LCM of 1789 and 1793 = LCM of 1793 and 1789

Related Least Common Multiples of 1789

Related Least Common Multiples of 1793

Frequently Asked Questions on LCM of 1789 and 1793

1. What is the LCM of 1789 and 1793?

Answer: LCM of 1789 and 1793 is 3207677.

2. What are the Factors of 1789?

Answer: Factors of 1789 are 1, 1789. There are 2 integers that are factors of 1789. The greatest factor of 1789 is 1789.

3. What are the Factors of 1793?

Answer: Factors of 1793 are 1, 11, 163, 1793. There are 4 integers that are factors of 1793. The greatest factor of 1793 is 1793.

4. How to Find the LCM of 1789 and 1793?

Answer:

Least Common Multiple of 1789 and 1793 = 3207677

Step 1: Find the prime factorization of 1789

1789 = 1789

Step 2: Find the prime factorization of 1793

1793 = 11 x 163

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

LCM = 3207677 = 11 x 163 x 1789

Step 4: Therefore, the least common multiple of 1789 and 1793 is 3207677.