Least Common Multiple of 1782 and 1786

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 1786 the smallest integer that is 1591326 that is divisible by both numbers.

Least Common Multiple (LCM) of 1782 and 1786 is 1591326.

LCM(1782,1786) = 1591326

LCM of 1782 and 1786

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

LCM of:
and

Least Common Multiple of 1782 and 1786

LCM of 1782 and 1786 is 1591326

Least common multiple can be found by multiplying the highest exponent prime factors of 1782 and 1786. First we will calculate the prime factors of 1782 and 1786.

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 1786


2 1786
19 893
47 47
1

Prime factors of 1786 are 2, 19,47. Prime factorization of 1786 in exponential form is:

1786 = 21×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1782 and 1786.

LCM(1782,1786) = 21×34×111×191×471
LCM(1782,1786) = 1591326

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 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1, 2, 19, 38, 47, 94, 893, 1786

Least Common Multiple of 1782 and 1786 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 1786, than apply into the LCM equation.

GCF(1782,1786) = 2
LCM(1782,1786) = ( 1782 × 1786) / 2
LCM(1782,1786) = 3182652 / 2
LCM(1782,1786) = 1591326

Properties of LCM 1782 and 1786

(i) The LCM of 1786 and 1782 is associative

LCM of 1782 and 1786 = LCM of 1786 and 1782

Related Least Common Multiples of 1782

Related Least Common Multiples of 1786

Frequently Asked Questions on LCM of 1782 and 1786

1. What is the LCM of 1782 and 1786?

Answer: LCM of 1782 and 1786 is 1591326.

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 1786?

Answer: Factors of 1786 are 1, 2, 19, 38, 47, 94, 893, 1786. There are 8 integers that are factors of 1786. The greatest factor of 1786 is 1786.

4. How to Find the LCM of 1782 and 1786?

Answer:

Least Common Multiple of 1782 and 1786 = 1591326

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 1786

1786 = 2 x 19 x 47

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

LCM = 1591326 = 2 x 3 x 3 x 3 x 3 x 11 x 19 x 47

Step 4: Therefore, the least common multiple of 1782 and 1786 is 1591326.