Least Common Multiple of 789 and 792

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 792 the smallest integer that is 208296 that is divisible by both numbers.

Least Common Multiple (LCM) of 789 and 792 is 208296.

LCM(789,792) = 208296

LCM of 789 and 792

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

LCM of:
and

Least Common Multiple of 789 and 792

LCM of 789 and 792 is 208296

Least common multiple can be found by multiplying the highest exponent prime factors of 789 and 792. First we will calculate the prime factors of 789 and 792.

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 792


2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 792 are 2, 3,11. Prime factorization of 792 in exponential form is:

792 = 23×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 789 and 792.

LCM(789,792) = 23×32×111×2631
LCM(789,792) = 208296

Factors of 789

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

1, 3, 263, 789

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Least Common Multiple of 789 and 792 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 792, than apply into the LCM equation.

GCF(789,792) = 3
LCM(789,792) = ( 789 × 792) / 3
LCM(789,792) = 624888 / 3
LCM(789,792) = 208296

Properties of LCM 789 and 792

(i) The LCM of 792 and 789 is associative

LCM of 789 and 792 = LCM of 792 and 789

Related Least Common Multiples of 789

Related Least Common Multiples of 792

Frequently Asked Questions on LCM of 789 and 792

1. What is the LCM of 789 and 792?

Answer: LCM of 789 and 792 is 208296.

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 792?

Answer: Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. There are 24 integers that are factors of 792. The greatest factor of 792 is 792.

4. How to Find the LCM of 789 and 792?

Answer:

Least Common Multiple of 789 and 792 = 208296

Step 1: Find the prime factorization of 789

789 = 3 x 263

Step 2: Find the prime factorization of 792

792 = 2 x 2 x 2 x 3 x 3 x 11

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

LCM = 208296 = 2 x 2 x 2 x 3 x 3 x 11 x 263

Step 4: Therefore, the least common multiple of 789 and 792 is 208296.