Least Common Multiple of 1784 and 1791

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 1791 the smallest integer that is 3195144 that is divisible by both numbers.

Least Common Multiple (LCM) of 1784 and 1791 is 3195144.

LCM(1784,1791) = 3195144

LCM of 1784 and 1791

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

LCM of:
and

Least Common Multiple of 1784 and 1791

LCM of 1784 and 1791 is 3195144

Least common multiple can be found by multiplying the highest exponent prime factors of 1784 and 1791. First we will calculate the prime factors of 1784 and 1791.

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 1791


3 1791
3 597
199 199
1

Prime factors of 1791 are 3,199. Prime factorization of 1791 in exponential form is:

1791 = 32×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1784 and 1791.

LCM(1784,1791) = 23×32×1991×2231
LCM(1784,1791) = 3195144

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 1791

List of positive integer factors of 1791 that divides 1791 without a remainder.

1, 3, 9, 199, 597, 1791

Least Common Multiple of 1784 and 1791 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 1791, than apply into the LCM equation.

GCF(1784,1791) = 1
LCM(1784,1791) = ( 1784 × 1791) / 1
LCM(1784,1791) = 3195144 / 1
LCM(1784,1791) = 3195144

Properties of LCM 1784 and 1791

(i) The LCM of 1791 and 1784 is associative

LCM of 1784 and 1791 = LCM of 1791 and 1784

Related Least Common Multiples of 1784

Related Least Common Multiples of 1791

Frequently Asked Questions on LCM of 1784 and 1791

1. What is the LCM of 1784 and 1791?

Answer: LCM of 1784 and 1791 is 3195144.

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 1791?

Answer: Factors of 1791 are 1, 3, 9, 199, 597, 1791. There are 6 integers that are factors of 1791. The greatest factor of 1791 is 1791.

4. How to Find the LCM of 1784 and 1791?

Answer:

Least Common Multiple of 1784 and 1791 = 3195144

Step 1: Find the prime factorization of 1784

1784 = 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 1791

1791 = 3 x 3 x 199

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

LCM = 3195144 = 2 x 2 x 2 x 3 x 3 x 199 x 223

Step 4: Therefore, the least common multiple of 1784 and 1791 is 3195144.