Least Common Multiple of 792 and 793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 792 and 793 the smallest integer that is 628056 that is divisible by both numbers.

Least Common Multiple (LCM) of 792 and 793 is 628056.

LCM(792,793) = 628056

LCM of 792 and 793

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

LCM of:
and

Least Common Multiple of 792 and 793

LCM of 792 and 793 is 628056

Least common multiple can be found by multiplying the highest exponent prime factors of 792 and 793. First we will calculate the prime factors of 792 and 793.

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

Prime Factorization of 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 792 and 793.

LCM(792,793) = 23×32×111×131×611
LCM(792,793) = 628056

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

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Least Common Multiple of 792 and 793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 792 and 793, than apply into the LCM equation.

GCF(792,793) = 1
LCM(792,793) = ( 792 × 793) / 1
LCM(792,793) = 628056 / 1
LCM(792,793) = 628056

Properties of LCM 792 and 793

(i) The LCM of 793 and 792 is associative

LCM of 792 and 793 = LCM of 793 and 792

Related Least Common Multiples of 792

Related Least Common Multiples of 793

Frequently Asked Questions on LCM of 792 and 793

1. What is the LCM of 792 and 793?

Answer: LCM of 792 and 793 is 628056.

2. 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.

3. What are the Factors of 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

4. How to Find the LCM of 792 and 793?

Answer:

Least Common Multiple of 792 and 793 = 628056

Step 1: Find the prime factorization of 792

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

Step 2: Find the prime factorization of 793

793 = 13 x 61

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

LCM = 628056 = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 61

Step 4: Therefore, the least common multiple of 792 and 793 is 628056.