Least Common Multiple of 792 and 795

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 795 the smallest integer that is 209880 that is divisible by both numbers.

Least Common Multiple (LCM) of 792 and 795 is 209880.

LCM(792,795) = 209880

LCM of 792 and 795

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

LCM of:
and

Least Common Multiple of 792 and 795

LCM of 792 and 795 is 209880

Least common multiple can be found by multiplying the highest exponent prime factors of 792 and 795. First we will calculate the prime factors of 792 and 795.

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 795


3 795
5 265
53 53
1

Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:

795 = 31×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 792 and 795.

LCM(792,795) = 23×32×51×111×531
LCM(792,795) = 209880

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 795

List of positive integer factors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Least Common Multiple of 792 and 795 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 795, than apply into the LCM equation.

GCF(792,795) = 3
LCM(792,795) = ( 792 × 795) / 3
LCM(792,795) = 629640 / 3
LCM(792,795) = 209880

Properties of LCM 792 and 795

(i) The LCM of 795 and 792 is associative

LCM of 792 and 795 = LCM of 795 and 792

Related Least Common Multiples of 792

Related Least Common Multiples of 795

Frequently Asked Questions on LCM of 792 and 795

1. What is the LCM of 792 and 795?

Answer: LCM of 792 and 795 is 209880.

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 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

4. How to Find the LCM of 792 and 795?

Answer:

Least Common Multiple of 792 and 795 = 209880

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 795

795 = 3 x 5 x 53

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

LCM = 209880 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 53

Step 4: Therefore, the least common multiple of 792 and 795 is 209880.