Least Common Multiple of 789 and 797

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 797 the smallest integer that is 628833 that is divisible by both numbers.

Least Common Multiple (LCM) of 789 and 797 is 628833.

LCM(789,797) = 628833

LCM of 789 and 797

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

LCM of:
and

Least Common Multiple of 789 and 797

LCM of 789 and 797 is 628833

Least common multiple can be found by multiplying the highest exponent prime factors of 789 and 797. First we will calculate the prime factors of 789 and 797.

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 797


797 797
1

Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:

797 = 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 789 and 797.

LCM(789,797) = 31×2631×7971
LCM(789,797) = 628833

Factors of 789

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

1, 3, 263, 789

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1, 797

Least Common Multiple of 789 and 797 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 797, than apply into the LCM equation.

GCF(789,797) = 1
LCM(789,797) = ( 789 × 797) / 1
LCM(789,797) = 628833 / 1
LCM(789,797) = 628833

Properties of LCM 789 and 797

(i) The LCM of 797 and 789 is associative

LCM of 789 and 797 = LCM of 797 and 789

Related Least Common Multiples of 789

Related Least Common Multiples of 797

Frequently Asked Questions on LCM of 789 and 797

1. What is the LCM of 789 and 797?

Answer: LCM of 789 and 797 is 628833.

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 797?

Answer: Factors of 797 are 1, 797. There are 2 integers that are factors of 797. The greatest factor of 797 is 797.

4. How to Find the LCM of 789 and 797?

Answer:

Least Common Multiple of 789 and 797 = 628833

Step 1: Find the prime factorization of 789

789 = 3 x 263

Step 2: Find the prime factorization of 797

797 = 797

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

LCM = 628833 = 3 x 263 x 797

Step 4: Therefore, the least common multiple of 789 and 797 is 628833.