Least Common Multiple of 1784 and 1788

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 1788 the smallest integer that is 797448 that is divisible by both numbers.

Least Common Multiple (LCM) of 1784 and 1788 is 797448.

LCM(1784,1788) = 797448

LCM of 1784 and 1788

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

LCM of:
and

Least Common Multiple of 1784 and 1788

LCM of 1784 and 1788 is 797448

Least common multiple can be found by multiplying the highest exponent prime factors of 1784 and 1788. First we will calculate the prime factors of 1784 and 1788.

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 1788


2 1788
2 894
3 447
149 149
1

Prime factors of 1788 are 2, 3,149. Prime factorization of 1788 in exponential form is:

1788 = 22×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1784 and 1788.

LCM(1784,1788) = 23×31×1491×2231
LCM(1784,1788) = 797448

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 1788

List of positive integer factors of 1788 that divides 1788 without a remainder.

1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788

Least Common Multiple of 1784 and 1788 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 1788, than apply into the LCM equation.

GCF(1784,1788) = 4
LCM(1784,1788) = ( 1784 × 1788) / 4
LCM(1784,1788) = 3189792 / 4
LCM(1784,1788) = 797448

Properties of LCM 1784 and 1788

(i) The LCM of 1788 and 1784 is associative

LCM of 1784 and 1788 = LCM of 1788 and 1784

Related Least Common Multiples of 1784

Related Least Common Multiples of 1788

Frequently Asked Questions on LCM of 1784 and 1788

1. What is the LCM of 1784 and 1788?

Answer: LCM of 1784 and 1788 is 797448.

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 1788?

Answer: Factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788. There are 12 integers that are factors of 1788. The greatest factor of 1788 is 1788.

4. How to Find the LCM of 1784 and 1788?

Answer:

Least Common Multiple of 1784 and 1788 = 797448

Step 1: Find the prime factorization of 1784

1784 = 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 1788

1788 = 2 x 2 x 3 x 149

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

LCM = 797448 = 2 x 2 x 2 x 3 x 149 x 223

Step 4: Therefore, the least common multiple of 1784 and 1788 is 797448.