Least Common Multiple of 782 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 782 and 786 the smallest integer that is 307326 that is divisible by both numbers.

Least Common Multiple (LCM) of 782 and 786 is 307326.

LCM(782,786) = 307326

LCM of 782 and 786

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

LCM of:
and

Least Common Multiple of 782 and 786

LCM of 782 and 786 is 307326

Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 786. First we will calculate the prime factors of 782 and 786.

Prime Factorization of 782


2 782
17 391
23 23
1

Prime factors of 782 are 2, 17,23. Prime factorization of 782 in exponential form is:

782 = 21×171×231

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 782 and 786.

LCM(782,786) = 21×31×171×231×1311
LCM(782,786) = 307326

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

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 782 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 782 and 786, than apply into the LCM equation.

GCF(782,786) = 2
LCM(782,786) = ( 782 × 786) / 2
LCM(782,786) = 614652 / 2
LCM(782,786) = 307326

Properties of LCM 782 and 786

(i) The LCM of 786 and 782 is associative

LCM of 782 and 786 = LCM of 786 and 782

Related Least Common Multiples of 782

Related Least Common Multiples of 786

Frequently Asked Questions on LCM of 782 and 786

1. What is the LCM of 782 and 786?

Answer: LCM of 782 and 786 is 307326.

2. What are the Factors of 782?

Answer: Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. There are 8 integers that are factors of 782. The greatest factor of 782 is 782.

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 782 and 786?

Answer:

Least Common Multiple of 782 and 786 = 307326

Step 1: Find the prime factorization of 782

782 = 2 x 17 x 23

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 = 307326 = 2 x 3 x 17 x 23 x 131

Step 4: Therefore, the least common multiple of 782 and 786 is 307326.