Least Common Multiple of 1784 and 1790

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 1790 the smallest integer that is 1596680 that is divisible by both numbers.

Least Common Multiple (LCM) of 1784 and 1790 is 1596680.

LCM(1784,1790) = 1596680

LCM of 1784 and 1790

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

LCM of:
and

Least Common Multiple of 1784 and 1790

LCM of 1784 and 1790 is 1596680

Least common multiple can be found by multiplying the highest exponent prime factors of 1784 and 1790. First we will calculate the prime factors of 1784 and 1790.

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 1790


2 1790
5 895
179 179
1

Prime factors of 1790 are 2, 5,179. Prime factorization of 1790 in exponential form is:

1790 = 21×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1784 and 1790.

LCM(1784,1790) = 23×51×1791×2231
LCM(1784,1790) = 1596680

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 1790

List of positive integer factors of 1790 that divides 1790 without a remainder.

1, 2, 5, 10, 179, 358, 895, 1790

Least Common Multiple of 1784 and 1790 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 1790, than apply into the LCM equation.

GCF(1784,1790) = 2
LCM(1784,1790) = ( 1784 × 1790) / 2
LCM(1784,1790) = 3193360 / 2
LCM(1784,1790) = 1596680

Properties of LCM 1784 and 1790

(i) The LCM of 1790 and 1784 is associative

LCM of 1784 and 1790 = LCM of 1790 and 1784

Related Least Common Multiples of 1784

Related Least Common Multiples of 1790

Frequently Asked Questions on LCM of 1784 and 1790

1. What is the LCM of 1784 and 1790?

Answer: LCM of 1784 and 1790 is 1596680.

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 1790?

Answer: Factors of 1790 are 1, 2, 5, 10, 179, 358, 895, 1790. There are 8 integers that are factors of 1790. The greatest factor of 1790 is 1790.

4. How to Find the LCM of 1784 and 1790?

Answer:

Least Common Multiple of 1784 and 1790 = 1596680

Step 1: Find the prime factorization of 1784

1784 = 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 1790

1790 = 2 x 5 x 179

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

LCM = 1596680 = 2 x 2 x 2 x 5 x 179 x 223

Step 4: Therefore, the least common multiple of 1784 and 1790 is 1596680.