Least Common Multiple of 789 and 794

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 794 the smallest integer that is 626466 that is divisible by both numbers.

Least Common Multiple (LCM) of 789 and 794 is 626466.

LCM(789,794) = 626466

LCM of 789 and 794

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

LCM of:
and

Least Common Multiple of 789 and 794

LCM of 789 and 794 is 626466

Least common multiple can be found by multiplying the highest exponent prime factors of 789 and 794. First we will calculate the prime factors of 789 and 794.

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 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 789 and 794.

LCM(789,794) = 21×31×2631×3971
LCM(789,794) = 626466

Factors of 789

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

1, 3, 263, 789

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Least Common Multiple of 789 and 794 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 794, than apply into the LCM equation.

GCF(789,794) = 1
LCM(789,794) = ( 789 × 794) / 1
LCM(789,794) = 626466 / 1
LCM(789,794) = 626466

Properties of LCM 789 and 794

(i) The LCM of 794 and 789 is associative

LCM of 789 and 794 = LCM of 794 and 789

Related Least Common Multiples of 789

Related Least Common Multiples of 794

Frequently Asked Questions on LCM of 789 and 794

1. What is the LCM of 789 and 794?

Answer: LCM of 789 and 794 is 626466.

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 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

4. How to Find the LCM of 789 and 794?

Answer:

Least Common Multiple of 789 and 794 = 626466

Step 1: Find the prime factorization of 789

789 = 3 x 263

Step 2: Find the prime factorization of 794

794 = 2 x 397

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

LCM = 626466 = 2 x 3 x 263 x 397

Step 4: Therefore, the least common multiple of 789 and 794 is 626466.