Least Common Multiple of 1784 and 1789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1784 and 1789 the smallest integer that is 3191576 that is divisible by both numbers.

Least Common Multiple (LCM) of 1784 and 1789 is 3191576.

LCM(1784,1789) = 3191576

LCM of 1784 and 1789

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

LCM of:
and

Least Common Multiple of 1784 and 1789

LCM of 1784 and 1789 is 3191576

Least common multiple can be found by multiplying the highest exponent prime factors of 1784 and 1789. First we will calculate the prime factors of 1784 and 1789.

Prime Factorization of 1784


2 1784
2 892
2 446
223 223
1

Prime factors of 1784 are 2,223. Prime factorization of 1784 in exponential form is:

1784 = 23×2231

Prime Factorization of 1789


1789 1789
1

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

1789 = 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 1784 and 1789.

LCM(1784,1789) = 23×2231×17891
LCM(1784,1789) = 3191576

Factors of 1784

List of positive integer factors of 1784 that divides 1784 without a remainder.

1, 2, 4, 8, 223, 446, 892, 1784

Factors of 1789

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

1, 1789

Least Common Multiple of 1784 and 1789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1784 and 1789, than apply into the LCM equation.

GCF(1784,1789) = 1
LCM(1784,1789) = ( 1784 × 1789) / 1
LCM(1784,1789) = 3191576 / 1
LCM(1784,1789) = 3191576

Properties of LCM 1784 and 1789

(i) The LCM of 1789 and 1784 is associative

LCM of 1784 and 1789 = LCM of 1789 and 1784

Related Least Common Multiples of 1784

Related Least Common Multiples of 1789

Frequently Asked Questions on LCM of 1784 and 1789

1. What is the LCM of 1784 and 1789?

Answer: LCM of 1784 and 1789 is 3191576.

2. What are the Factors of 1784?

Answer: Factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784. There are 8 integers that are factors of 1784. The greatest factor of 1784 is 1784.

3. 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.

4. How to Find the LCM of 1784 and 1789?

Answer:

Least Common Multiple of 1784 and 1789 = 3191576

Step 1: Find the prime factorization of 1784

1784 = 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 1789

1789 = 1789

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

LCM = 3191576 = 2 x 2 x 2 x 223 x 1789

Step 4: Therefore, the least common multiple of 1784 and 1789 is 3191576.