Least Common Multiple of 1776 and 1784

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 1784 the smallest integer that is 396048 that is divisible by both numbers.

Least Common Multiple (LCM) of 1776 and 1784 is 396048.

LCM(1776,1784) = 396048

LCM of 1776 and 1784

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

LCM of:
and

Least Common Multiple of 1776 and 1784

LCM of 1776 and 1784 is 396048

Least common multiple can be found by multiplying the highest exponent prime factors of 1776 and 1784. First we will calculate the prime factors of 1776 and 1784.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1776 and 1784.

LCM(1776,1784) = 24×31×371×2231
LCM(1776,1784) = 396048

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 1784

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

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

Least Common Multiple of 1776 and 1784 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 1784, than apply into the LCM equation.

GCF(1776,1784) = 8
LCM(1776,1784) = ( 1776 × 1784) / 8
LCM(1776,1784) = 3168384 / 8
LCM(1776,1784) = 396048

Properties of LCM 1776 and 1784

(i) The LCM of 1784 and 1776 is associative

LCM of 1776 and 1784 = LCM of 1784 and 1776

Related Least Common Multiples of 1776

Related Least Common Multiples of 1784

Frequently Asked Questions on LCM of 1776 and 1784

1. What is the LCM of 1776 and 1784?

Answer: LCM of 1776 and 1784 is 396048.

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 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.

4. How to Find the LCM of 1776 and 1784?

Answer:

Least Common Multiple of 1776 and 1784 = 396048

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 1784

1784 = 2 x 2 x 2 x 223

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

LCM = 396048 = 2 x 2 x 2 x 2 x 3 x 37 x 223

Step 4: Therefore, the least common multiple of 1776 and 1784 is 396048.