Least Common Multiple of 786 and 791

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 791 the smallest integer that is 621726 that is divisible by both numbers.

Least Common Multiple (LCM) of 786 and 791 is 621726.

LCM(786,791) = 621726

LCM of 786 and 791

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

LCM of:
and

Least Common Multiple of 786 and 791

LCM of 786 and 791 is 621726

Least common multiple can be found by multiplying the highest exponent prime factors of 786 and 791. First we will calculate the prime factors of 786 and 791.

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 791


7 791
113 113
1

Prime factors of 791 are 7,113. Prime factorization of 791 in exponential form is:

791 = 71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 786 and 791.

LCM(786,791) = 21×31×71×1131×1311
LCM(786,791) = 621726

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 791

List of positive integer factors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Least Common Multiple of 786 and 791 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 791, than apply into the LCM equation.

GCF(786,791) = 1
LCM(786,791) = ( 786 × 791) / 1
LCM(786,791) = 621726 / 1
LCM(786,791) = 621726

Properties of LCM 786 and 791

(i) The LCM of 791 and 786 is associative

LCM of 786 and 791 = LCM of 791 and 786

Related Least Common Multiples of 786

Related Least Common Multiples of 791

Frequently Asked Questions on LCM of 786 and 791

1. What is the LCM of 786 and 791?

Answer: LCM of 786 and 791 is 621726.

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 791?

Answer: Factors of 791 are 1, 7, 113, 791. There are 4 integers that are factors of 791. The greatest factor of 791 is 791.

4. How to Find the LCM of 786 and 791?

Answer:

Least Common Multiple of 786 and 791 = 621726

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 791

791 = 7 x 113

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

LCM = 621726 = 2 x 3 x 7 x 113 x 131

Step 4: Therefore, the least common multiple of 786 and 791 is 621726.