Least Common Multiple of 786 and 793

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 793 the smallest integer that is 623298 that is divisible by both numbers.

Least Common Multiple (LCM) of 786 and 793 is 623298.

LCM(786,793) = 623298

LCM of 786 and 793

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

LCM of:
and

Least Common Multiple of 786 and 793

LCM of 786 and 793 is 623298

Least common multiple can be found by multiplying the highest exponent prime factors of 786 and 793. First we will calculate the prime factors of 786 and 793.

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 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 786 and 793.

LCM(786,793) = 21×31×131×611×1311
LCM(786,793) = 623298

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 793

List of positive integer factors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Least Common Multiple of 786 and 793 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 793, than apply into the LCM equation.

GCF(786,793) = 1
LCM(786,793) = ( 786 × 793) / 1
LCM(786,793) = 623298 / 1
LCM(786,793) = 623298

Properties of LCM 786 and 793

(i) The LCM of 793 and 786 is associative

LCM of 786 and 793 = LCM of 793 and 786

Related Least Common Multiples of 786

Related Least Common Multiples of 793

Frequently Asked Questions on LCM of 786 and 793

1. What is the LCM of 786 and 793?

Answer: LCM of 786 and 793 is 623298.

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 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

4. How to Find the LCM of 786 and 793?

Answer:

Least Common Multiple of 786 and 793 = 623298

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 793

793 = 13 x 61

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

LCM = 623298 = 2 x 3 x 13 x 61 x 131

Step 4: Therefore, the least common multiple of 786 and 793 is 623298.