Least Common Multiple of 1784 and 1792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1784 and 1792 the smallest integer that is 399616 that is divisible by both numbers.

Least Common Multiple (LCM) of 1784 and 1792 is 399616.

LCM(1784,1792) = 399616

LCM of 1784 and 1792

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

LCM of:
and

Least Common Multiple of 1784 and 1792

LCM of 1784 and 1792 is 399616

Least common multiple can be found by multiplying the highest exponent prime factors of 1784 and 1792. First we will calculate the prime factors of 1784 and 1792.

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

Prime Factorization of 1792


2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 1792 are 2,7. Prime factorization of 1792 in exponential form is:

1792 = 28×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1784 and 1792.

LCM(1784,1792) = 28×71×2231
LCM(1784,1792) = 399616

Factors of 1784

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

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

Factors of 1792

List of positive integer factors of 1792 that divides 1792 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792

Least Common Multiple of 1784 and 1792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1784 and 1792, than apply into the LCM equation.

GCF(1784,1792) = 8
LCM(1784,1792) = ( 1784 × 1792) / 8
LCM(1784,1792) = 3196928 / 8
LCM(1784,1792) = 399616

Properties of LCM 1784 and 1792

(i) The LCM of 1792 and 1784 is associative

LCM of 1784 and 1792 = LCM of 1792 and 1784

Related Least Common Multiples of 1784

Related Least Common Multiples of 1792

Frequently Asked Questions on LCM of 1784 and 1792

1. What is the LCM of 1784 and 1792?

Answer: LCM of 1784 and 1792 is 399616.

2. 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.

3. What are the Factors of 1792?

Answer: Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792. There are 18 integers that are factors of 1792. The greatest factor of 1792 is 1792.

4. How to Find the LCM of 1784 and 1792?

Answer:

Least Common Multiple of 1784 and 1792 = 399616

Step 1: Find the prime factorization of 1784

1784 = 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 1792

1792 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

LCM = 399616 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 223

Step 4: Therefore, the least common multiple of 1784 and 1792 is 399616.