Least Common Multiple of 783 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 783 and 791 the smallest integer that is 619353 that is divisible by both numbers.

Least Common Multiple (LCM) of 783 and 791 is 619353.

LCM(783,791) = 619353

LCM of 783 and 791

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

LCM of:
and

Least Common Multiple of 783 and 791

LCM of 783 and 791 is 619353

Least common multiple can be found by multiplying the highest exponent prime factors of 783 and 791. First we will calculate the prime factors of 783 and 791.

Prime Factorization of 783


3 783
3 261
3 87
29 29
1

Prime factors of 783 are 3,29. Prime factorization of 783 in exponential form is:

783 = 33×291

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 783 and 791.

LCM(783,791) = 33×71×291×1131
LCM(783,791) = 619353

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Factors of 791

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

1, 7, 113, 791

Least Common Multiple of 783 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 783 and 791, than apply into the LCM equation.

GCF(783,791) = 1
LCM(783,791) = ( 783 × 791) / 1
LCM(783,791) = 619353 / 1
LCM(783,791) = 619353

Properties of LCM 783 and 791

(i) The LCM of 791 and 783 is associative

LCM of 783 and 791 = LCM of 791 and 783

Related Least Common Multiples of 783

Related Least Common Multiples of 791

Frequently Asked Questions on LCM of 783 and 791

1. What is the LCM of 783 and 791?

Answer: LCM of 783 and 791 is 619353.

2. What are the Factors of 783?

Answer: Factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783. There are 8 integers that are factors of 783. The greatest factor of 783 is 783.

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 783 and 791?

Answer:

Least Common Multiple of 783 and 791 = 619353

Step 1: Find the prime factorization of 783

783 = 3 x 3 x 3 x 29

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 = 619353 = 3 x 3 x 3 x 7 x 29 x 113

Step 4: Therefore, the least common multiple of 783 and 791 is 619353.