Least Common Multiple of 792 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 792 and 796 the smallest integer that is 157608 that is divisible by both numbers.

Least Common Multiple (LCM) of 792 and 796 is 157608.

LCM(792,796) = 157608

LCM of 792 and 796

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

LCM of:
and

Least Common Multiple of 792 and 796

LCM of 792 and 796 is 157608

Least common multiple can be found by multiplying the highest exponent prime factors of 792 and 796. First we will calculate the prime factors of 792 and 796.

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 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 792 and 796.

LCM(792,796) = 23×32×111×1991
LCM(792,796) = 157608

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 796

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

1, 2, 4, 199, 398, 796

Least Common Multiple of 792 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 792 and 796, than apply into the LCM equation.

GCF(792,796) = 4
LCM(792,796) = ( 792 × 796) / 4
LCM(792,796) = 630432 / 4
LCM(792,796) = 157608

Properties of LCM 792 and 796

(i) The LCM of 796 and 792 is associative

LCM of 792 and 796 = LCM of 796 and 792

Related Least Common Multiples of 792

Related Least Common Multiples of 796

Frequently Asked Questions on LCM of 792 and 796

1. What is the LCM of 792 and 796?

Answer: LCM of 792 and 796 is 157608.

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 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 792 and 796?

Answer:

Least Common Multiple of 792 and 796 = 157608

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 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 = 157608 = 2 x 2 x 2 x 3 x 3 x 11 x 199

Step 4: Therefore, the least common multiple of 792 and 796 is 157608.