Least Common Multiple of 1776 and 1782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1776 and 1782 the smallest integer that is 527472 that is divisible by both numbers.

Least Common Multiple (LCM) of 1776 and 1782 is 527472.

LCM(1776,1782) = 527472

LCM of 1776 and 1782

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

LCM of:
and

Least Common Multiple of 1776 and 1782

LCM of 1776 and 1782 is 527472

Least common multiple can be found by multiplying the highest exponent prime factors of 1776 and 1782. First we will calculate the prime factors of 1776 and 1782.

Prime Factorization of 1776


2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 1776 are 2, 3,37. Prime factorization of 1776 in exponential form is:

1776 = 24×31×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1776 and 1782.

LCM(1776,1782) = 24×34×111×371
LCM(1776,1782) = 527472

Factors of 1776

List of positive integer factors of 1776 that divides 1776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1776

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

Least Common Multiple of 1776 and 1782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1776 and 1782, than apply into the LCM equation.

GCF(1776,1782) = 6
LCM(1776,1782) = ( 1776 × 1782) / 6
LCM(1776,1782) = 3164832 / 6
LCM(1776,1782) = 527472

Properties of LCM 1776 and 1782

(i) The LCM of 1782 and 1776 is associative

LCM of 1776 and 1782 = LCM of 1782 and 1776

Related Least Common Multiples of 1776

Related Least Common Multiples of 1782

Frequently Asked Questions on LCM of 1776 and 1782

1. What is the LCM of 1776 and 1782?

Answer: LCM of 1776 and 1782 is 527472.

2. What are the Factors of 1776?

Answer: Factors of 1776 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1776. There are 20 integers that are factors of 1776. The greatest factor of 1776 is 1776.

3. 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.

4. How to Find the LCM of 1776 and 1782?

Answer:

Least Common Multiple of 1776 and 1782 = 527472

Step 1: Find the prime factorization of 1776

1776 = 2 x 2 x 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 1782

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

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

LCM = 527472 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 37

Step 4: Therefore, the least common multiple of 1776 and 1782 is 527472.