Least Common Multiple of 789 and 795

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 795 the smallest integer that is 209085 that is divisible by both numbers.

Least Common Multiple (LCM) of 789 and 795 is 209085.

LCM(789,795) = 209085

LCM of 789 and 795

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

LCM of:
and

Least Common Multiple of 789 and 795

LCM of 789 and 795 is 209085

Least common multiple can be found by multiplying the highest exponent prime factors of 789 and 795. First we will calculate the prime factors of 789 and 795.

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 795


3 795
5 265
53 53
1

Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:

795 = 31×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 789 and 795.

LCM(789,795) = 31×51×531×2631
LCM(789,795) = 209085

Factors of 789

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

1, 3, 263, 789

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Least Common Multiple of 789 and 795 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 795, than apply into the LCM equation.

GCF(789,795) = 3
LCM(789,795) = ( 789 × 795) / 3
LCM(789,795) = 627255 / 3
LCM(789,795) = 209085

Properties of LCM 789 and 795

(i) The LCM of 795 and 789 is associative

LCM of 789 and 795 = LCM of 795 and 789

Related Least Common Multiples of 789

Related Least Common Multiples of 795

Frequently Asked Questions on LCM of 789 and 795

1. What is the LCM of 789 and 795?

Answer: LCM of 789 and 795 is 209085.

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 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

4. How to Find the LCM of 789 and 795?

Answer:

Least Common Multiple of 789 and 795 = 209085

Step 1: Find the prime factorization of 789

789 = 3 x 263

Step 2: Find the prime factorization of 795

795 = 3 x 5 x 53

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

LCM = 209085 = 3 x 5 x 53 x 263

Step 4: Therefore, the least common multiple of 789 and 795 is 209085.