Least Common Multiple of 1784 and 1785

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 1785 the smallest integer that is 3184440 that is divisible by both numbers.

Least Common Multiple (LCM) of 1784 and 1785 is 3184440.

LCM(1784,1785) = 3184440

LCM of 1784 and 1785

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

LCM of:
and

Least Common Multiple of 1784 and 1785

LCM of 1784 and 1785 is 3184440

Least common multiple can be found by multiplying the highest exponent prime factors of 1784 and 1785. First we will calculate the prime factors of 1784 and 1785.

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 1785


3 1785
5 595
7 119
17 17
1

Prime factors of 1785 are 3, 5, 7,17. Prime factorization of 1785 in exponential form is:

1785 = 31×51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1784 and 1785.

LCM(1784,1785) = 23×31×51×71×171×2231
LCM(1784,1785) = 3184440

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 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785

Least Common Multiple of 1784 and 1785 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 1785, than apply into the LCM equation.

GCF(1784,1785) = 1
LCM(1784,1785) = ( 1784 × 1785) / 1
LCM(1784,1785) = 3184440 / 1
LCM(1784,1785) = 3184440

Properties of LCM 1784 and 1785

(i) The LCM of 1785 and 1784 is associative

LCM of 1784 and 1785 = LCM of 1785 and 1784

Related Least Common Multiples of 1784

Related Least Common Multiples of 1785

Frequently Asked Questions on LCM of 1784 and 1785

1. What is the LCM of 1784 and 1785?

Answer: LCM of 1784 and 1785 is 3184440.

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 1785?

Answer: Factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785. There are 16 integers that are factors of 1785. The greatest factor of 1785 is 1785.

4. How to Find the LCM of 1784 and 1785?

Answer:

Least Common Multiple of 1784 and 1785 = 3184440

Step 1: Find the prime factorization of 1784

1784 = 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 1785

1785 = 3 x 5 x 7 x 17

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

LCM = 3184440 = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 223

Step 4: Therefore, the least common multiple of 1784 and 1785 is 3184440.