Least Common Multiple of 789 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 789 and 791 the smallest integer that is 624099 that is divisible by both numbers.

Least Common Multiple (LCM) of 789 and 791 is 624099.

LCM(789,791) = 624099

LCM of 789 and 791

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

LCM of:
and

Least Common Multiple of 789 and 791

LCM of 789 and 791 is 624099

Least common multiple can be found by multiplying the highest exponent prime factors of 789 and 791. First we will calculate the prime factors of 789 and 791.

Prime Factorization of 789


3 789
263 263
1

Prime factors of 789 are 3,263. Prime factorization of 789 in exponential form is:

789 = 31×2631

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 789 and 791.

LCM(789,791) = 31×71×1131×2631
LCM(789,791) = 624099

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Factors of 791

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

1, 7, 113, 791

Least Common Multiple of 789 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 789 and 791, than apply into the LCM equation.

GCF(789,791) = 1
LCM(789,791) = ( 789 × 791) / 1
LCM(789,791) = 624099 / 1
LCM(789,791) = 624099

Properties of LCM 789 and 791

(i) The LCM of 791 and 789 is associative

LCM of 789 and 791 = LCM of 791 and 789

Related Least Common Multiples of 789

Related Least Common Multiples of 791

Frequently Asked Questions on LCM of 789 and 791

1. What is the LCM of 789 and 791?

Answer: LCM of 789 and 791 is 624099.

2. What are the Factors of 789?

Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.

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 789 and 791?

Answer:

Least Common Multiple of 789 and 791 = 624099

Step 1: Find the prime factorization of 789

789 = 3 x 263

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 = 624099 = 3 x 7 x 113 x 263

Step 4: Therefore, the least common multiple of 789 and 791 is 624099.