Least Common Multiple of 792 and 800

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 800 the smallest integer that is 79200 that is divisible by both numbers.

Least Common Multiple (LCM) of 792 and 800 is 79200.

LCM(792,800) = 79200

LCM of 792 and 800

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

LCM of:
and

Least Common Multiple of 792 and 800

LCM of 792 and 800 is 79200

Least common multiple can be found by multiplying the highest exponent prime factors of 792 and 800. First we will calculate the prime factors of 792 and 800.

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 800


2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 800 are 2,5. Prime factorization of 800 in exponential form is:

800 = 25×52

Now multiplying the highest exponent prime factors to calculate the LCM of 792 and 800.

LCM(792,800) = 25×32×52×111
LCM(792,800) = 79200

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 800

List of positive integer factors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Least Common Multiple of 792 and 800 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 800, than apply into the LCM equation.

GCF(792,800) = 8
LCM(792,800) = ( 792 × 800) / 8
LCM(792,800) = 633600 / 8
LCM(792,800) = 79200

Properties of LCM 792 and 800

(i) The LCM of 800 and 792 is associative

LCM of 792 and 800 = LCM of 800 and 792

Related Least Common Multiples of 792

Related Least Common Multiples of 800

Frequently Asked Questions on LCM of 792 and 800

1. What is the LCM of 792 and 800?

Answer: LCM of 792 and 800 is 79200.

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 800?

Answer: Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. There are 18 integers that are factors of 800. The greatest factor of 800 is 800.

4. How to Find the LCM of 792 and 800?

Answer:

Least Common Multiple of 792 and 800 = 79200

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 800

800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

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

LCM = 79200 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 792 and 800 is 79200.