Least Common Multiple of 789 and 796

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 796 the smallest integer that is 628044 that is divisible by both numbers.

Least Common Multiple (LCM) of 789 and 796 is 628044.

LCM(789,796) = 628044

LCM of 789 and 796

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

LCM of:
and

Least Common Multiple of 789 and 796

LCM of 789 and 796 is 628044

Least common multiple can be found by multiplying the highest exponent prime factors of 789 and 796. First we will calculate the prime factors of 789 and 796.

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 796


2 796
2 398
199 199
1

Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:

796 = 22×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 789 and 796.

LCM(789,796) = 22×31×1991×2631
LCM(789,796) = 628044

Factors of 789

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

1, 3, 263, 789

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Least Common Multiple of 789 and 796 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 796, than apply into the LCM equation.

GCF(789,796) = 1
LCM(789,796) = ( 789 × 796) / 1
LCM(789,796) = 628044 / 1
LCM(789,796) = 628044

Properties of LCM 789 and 796

(i) The LCM of 796 and 789 is associative

LCM of 789 and 796 = LCM of 796 and 789

Related Least Common Multiples of 789

Related Least Common Multiples of 796

Frequently Asked Questions on LCM of 789 and 796

1. What is the LCM of 789 and 796?

Answer: LCM of 789 and 796 is 628044.

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 796?

Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.

4. How to Find the LCM of 789 and 796?

Answer:

Least Common Multiple of 789 and 796 = 628044

Step 1: Find the prime factorization of 789

789 = 3 x 263

Step 2: Find the prime factorization of 796

796 = 2 x 2 x 199

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

LCM = 628044 = 2 x 2 x 3 x 199 x 263

Step 4: Therefore, the least common multiple of 789 and 796 is 628044.