Least Common Multiple of 792 and 799

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 799 the smallest integer that is 632808 that is divisible by both numbers.

Least Common Multiple (LCM) of 792 and 799 is 632808.

LCM(792,799) = 632808

LCM of 792 and 799

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

LCM of:
and

Least Common Multiple of 792 and 799

LCM of 792 and 799 is 632808

Least common multiple can be found by multiplying the highest exponent prime factors of 792 and 799. First we will calculate the prime factors of 792 and 799.

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 799


17 799
47 47
1

Prime factors of 799 are 17,47. Prime factorization of 799 in exponential form is:

799 = 171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 792 and 799.

LCM(792,799) = 23×32×111×171×471
LCM(792,799) = 632808

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 799

List of positive integer factors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Least Common Multiple of 792 and 799 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 799, than apply into the LCM equation.

GCF(792,799) = 1
LCM(792,799) = ( 792 × 799) / 1
LCM(792,799) = 632808 / 1
LCM(792,799) = 632808

Properties of LCM 792 and 799

(i) The LCM of 799 and 792 is associative

LCM of 792 and 799 = LCM of 799 and 792

Related Least Common Multiples of 792

Related Least Common Multiples of 799

Frequently Asked Questions on LCM of 792 and 799

1. What is the LCM of 792 and 799?

Answer: LCM of 792 and 799 is 632808.

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 799?

Answer: Factors of 799 are 1, 17, 47, 799. There are 4 integers that are factors of 799. The greatest factor of 799 is 799.

4. How to Find the LCM of 792 and 799?

Answer:

Least Common Multiple of 792 and 799 = 632808

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 799

799 = 17 x 47

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

LCM = 632808 = 2 x 2 x 2 x 3 x 3 x 11 x 17 x 47

Step 4: Therefore, the least common multiple of 792 and 799 is 632808.