Least Common Multiple of 792 and 798

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 798 the smallest integer that is 105336 that is divisible by both numbers.

Least Common Multiple (LCM) of 792 and 798 is 105336.

LCM(792,798) = 105336

LCM of 792 and 798

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

LCM of:
and

Least Common Multiple of 792 and 798

LCM of 792 and 798 is 105336

Least common multiple can be found by multiplying the highest exponent prime factors of 792 and 798. First we will calculate the prime factors of 792 and 798.

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 798


2 798
3 399
7 133
19 19
1

Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:

798 = 21×31×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 792 and 798.

LCM(792,798) = 23×32×71×111×191
LCM(792,798) = 105336

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 798

List of positive integer factors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Least Common Multiple of 792 and 798 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 798, than apply into the LCM equation.

GCF(792,798) = 6
LCM(792,798) = ( 792 × 798) / 6
LCM(792,798) = 632016 / 6
LCM(792,798) = 105336

Properties of LCM 792 and 798

(i) The LCM of 798 and 792 is associative

LCM of 792 and 798 = LCM of 798 and 792

Related Least Common Multiples of 792

Related Least Common Multiples of 798

Frequently Asked Questions on LCM of 792 and 798

1. What is the LCM of 792 and 798?

Answer: LCM of 792 and 798 is 105336.

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 798?

Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.

4. How to Find the LCM of 792 and 798?

Answer:

Least Common Multiple of 792 and 798 = 105336

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 798

798 = 2 x 3 x 7 x 19

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

LCM = 105336 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 792 and 798 is 105336.