Least Common Multiple of 786 and 794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 786 and 794 the smallest integer that is 312042 that is divisible by both numbers.

Least Common Multiple (LCM) of 786 and 794 is 312042.

LCM(786,794) = 312042

LCM of 786 and 794

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

LCM of:
and

Least Common Multiple of 786 and 794

LCM of 786 and 794 is 312042

Least common multiple can be found by multiplying the highest exponent prime factors of 786 and 794. First we will calculate the prime factors of 786 and 794.

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

Prime Factorization of 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 786 and 794.

LCM(786,794) = 21×31×1311×3971
LCM(786,794) = 312042

Factors of 786

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

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

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Least Common Multiple of 786 and 794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 786 and 794, than apply into the LCM equation.

GCF(786,794) = 2
LCM(786,794) = ( 786 × 794) / 2
LCM(786,794) = 624084 / 2
LCM(786,794) = 312042

Properties of LCM 786 and 794

(i) The LCM of 794 and 786 is associative

LCM of 786 and 794 = LCM of 794 and 786

Related Least Common Multiples of 786

Related Least Common Multiples of 794

Frequently Asked Questions on LCM of 786 and 794

1. What is the LCM of 786 and 794?

Answer: LCM of 786 and 794 is 312042.

2. 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.

3. What are the Factors of 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

4. How to Find the LCM of 786 and 794?

Answer:

Least Common Multiple of 786 and 794 = 312042

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 794

794 = 2 x 397

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

LCM = 312042 = 2 x 3 x 131 x 397

Step 4: Therefore, the least common multiple of 786 and 794 is 312042.