Least Common Multiple of 1782 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 1782 and 1789 the smallest integer that is 3187998 that is divisible by both numbers.

Least Common Multiple (LCM) of 1782 and 1789 is 3187998.

LCM(1782,1789) = 3187998

LCM of 1782 and 1789

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

LCM of:
and

Least Common Multiple of 1782 and 1789

LCM of 1782 and 1789 is 3187998

Least common multiple can be found by multiplying the highest exponent prime factors of 1782 and 1789. First we will calculate the prime factors of 1782 and 1789.

Prime Factorization of 1782


2 1782
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 1782 are 2, 3,11. Prime factorization of 1782 in exponential form is:

1782 = 21×34×111

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 1782 and 1789.

LCM(1782,1789) = 21×34×111×17891
LCM(1782,1789) = 3187998

Factors of 1782

List of positive integer factors of 1782 that divides 1782 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782

Factors of 1789

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

1, 1789

Least Common Multiple of 1782 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 1782 and 1789, than apply into the LCM equation.

GCF(1782,1789) = 1
LCM(1782,1789) = ( 1782 × 1789) / 1
LCM(1782,1789) = 3187998 / 1
LCM(1782,1789) = 3187998

Properties of LCM 1782 and 1789

(i) The LCM of 1789 and 1782 is associative

LCM of 1782 and 1789 = LCM of 1789 and 1782

Related Least Common Multiples of 1782

Related Least Common Multiples of 1789

Frequently Asked Questions on LCM of 1782 and 1789

1. What is the LCM of 1782 and 1789?

Answer: LCM of 1782 and 1789 is 3187998.

2. What are the Factors of 1782?

Answer: Factors of 1782 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782. There are 20 integers that are factors of 1782. The greatest factor of 1782 is 1782.

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 1782 and 1789?

Answer:

Least Common Multiple of 1782 and 1789 = 3187998

Step 1: Find the prime factorization of 1782

1782 = 2 x 3 x 3 x 3 x 3 x 11

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 = 3187998 = 2 x 3 x 3 x 3 x 3 x 11 x 1789

Step 4: Therefore, the least common multiple of 1782 and 1789 is 3187998.