Least Common Multiple of 784 and 786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 784 and 786 the smallest integer that is 308112 that is divisible by both numbers.

Least Common Multiple (LCM) of 784 and 786 is 308112.

LCM(784,786) = 308112

LCM of 784 and 786

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

LCM of:
and

Least Common Multiple of 784 and 786

LCM of 784 and 786 is 308112

Least common multiple can be found by multiplying the highest exponent prime factors of 784 and 786. First we will calculate the prime factors of 784 and 786.

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

Prime Factorization of 786


2 786
3 393
131 131
1

Prime factors of 786 are 2, 3,131. Prime factorization of 786 in exponential form is:

786 = 21×31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 784 and 786.

LCM(784,786) = 24×31×72×1311
LCM(784,786) = 308112

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

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Least Common Multiple of 784 and 786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 784 and 786, than apply into the LCM equation.

GCF(784,786) = 2
LCM(784,786) = ( 784 × 786) / 2
LCM(784,786) = 616224 / 2
LCM(784,786) = 308112

Properties of LCM 784 and 786

(i) The LCM of 786 and 784 is associative

LCM of 784 and 786 = LCM of 786 and 784

Related Least Common Multiples of 784

Related Least Common Multiples of 786

Frequently Asked Questions on LCM of 784 and 786

1. What is the LCM of 784 and 786?

Answer: LCM of 784 and 786 is 308112.

2. 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.

3. What are the Factors of 786?

Answer: Factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786. There are 8 integers that are factors of 786. The greatest factor of 786 is 786.

4. How to Find the LCM of 784 and 786?

Answer:

Least Common Multiple of 784 and 786 = 308112

Step 1: Find the prime factorization of 784

784 = 2 x 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 786

786 = 2 x 3 x 131

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

LCM = 308112 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 131

Step 4: Therefore, the least common multiple of 784 and 786 is 308112.