Least Common Multiple of 783 and 784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 783 and 784 the smallest integer that is 613872 that is divisible by both numbers.

Least Common Multiple (LCM) of 783 and 784 is 613872.

LCM(783,784) = 613872

LCM of 783 and 784

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

LCM of:
and

Least Common Multiple of 783 and 784

LCM of 783 and 784 is 613872

Least common multiple can be found by multiplying the highest exponent prime factors of 783 and 784. First we will calculate the prime factors of 783 and 784.

Prime Factorization of 783


3 783
3 261
3 87
29 29
1

Prime factors of 783 are 3,29. Prime factorization of 783 in exponential form is:

783 = 33×291

Prime Factorization of 784


2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 784 are 2,7. Prime factorization of 784 in exponential form is:

784 = 24×72

Now multiplying the highest exponent prime factors to calculate the LCM of 783 and 784.

LCM(783,784) = 24×33×72×291
LCM(783,784) = 613872

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Least Common Multiple of 783 and 784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 783 and 784, than apply into the LCM equation.

GCF(783,784) = 1
LCM(783,784) = ( 783 × 784) / 1
LCM(783,784) = 613872 / 1
LCM(783,784) = 613872

Properties of LCM 783 and 784

(i) The LCM of 784 and 783 is associative

LCM of 783 and 784 = LCM of 784 and 783

Related Least Common Multiples of 783

Related Least Common Multiples of 784

Frequently Asked Questions on LCM of 783 and 784

1. What is the LCM of 783 and 784?

Answer: LCM of 783 and 784 is 613872.

2. What are the Factors of 783?

Answer: Factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783. There are 8 integers that are factors of 783. The greatest factor of 783 is 783.

3. What are the Factors of 784?

Answer: Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. There are 15 integers that are factors of 784. The greatest factor of 784 is 784.

4. How to Find the LCM of 783 and 784?

Answer:

Least Common Multiple of 783 and 784 = 613872

Step 1: Find the prime factorization of 783

783 = 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 784

784 = 2 x 2 x 2 x 2 x 7 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 = 613872 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 783 and 784 is 613872.