Least Common Multiple of 1782 and 1783

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 1783 the smallest integer that is 3177306 that is divisible by both numbers.

Least Common Multiple (LCM) of 1782 and 1783 is 3177306.

LCM(1782,1783) = 3177306

LCM of 1782 and 1783

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

LCM of:
and

Least Common Multiple of 1782 and 1783

LCM of 1782 and 1783 is 3177306

Least common multiple can be found by multiplying the highest exponent prime factors of 1782 and 1783. First we will calculate the prime factors of 1782 and 1783.

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 1783


1783 1783
1

Prime factors of 1783 are 1783. Prime factorization of 1783 in exponential form is:

1783 = 17831

Now multiplying the highest exponent prime factors to calculate the LCM of 1782 and 1783.

LCM(1782,1783) = 21×34×111×17831
LCM(1782,1783) = 3177306

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 1783

List of positive integer factors of 1783 that divides 1783 without a remainder.

1, 1783

Least Common Multiple of 1782 and 1783 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 1783, than apply into the LCM equation.

GCF(1782,1783) = 1
LCM(1782,1783) = ( 1782 × 1783) / 1
LCM(1782,1783) = 3177306 / 1
LCM(1782,1783) = 3177306

Properties of LCM 1782 and 1783

(i) The LCM of 1783 and 1782 is associative

LCM of 1782 and 1783 = LCM of 1783 and 1782

Related Least Common Multiples of 1782

Related Least Common Multiples of 1783

Frequently Asked Questions on LCM of 1782 and 1783

1. What is the LCM of 1782 and 1783?

Answer: LCM of 1782 and 1783 is 3177306.

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 1783?

Answer: Factors of 1783 are 1, 1783. There are 2 integers that are factors of 1783. The greatest factor of 1783 is 1783.

4. How to Find the LCM of 1782 and 1783?

Answer:

Least Common Multiple of 1782 and 1783 = 3177306

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 1783

1783 = 1783

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

LCM = 3177306 = 2 x 3 x 3 x 3 x 3 x 11 x 1783

Step 4: Therefore, the least common multiple of 1782 and 1783 is 3177306.