Least Common Multiple of 784 and 792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 784 and 792 the smallest integer that is 77616 that is divisible by both numbers.

Least Common Multiple (LCM) of 784 and 792 is 77616.

LCM(784,792) = 77616

LCM of 784 and 792

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

LCM of:
and

Least Common Multiple of 784 and 792

LCM of 784 and 792 is 77616

Least common multiple can be found by multiplying the highest exponent prime factors of 784 and 792. First we will calculate the prime factors of 784 and 792.

Prime Factorization of 784


2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 784 are 2,7. Prime factorization of 784 in exponential form is:

784 = 24×72

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

Now multiplying the highest exponent prime factors to calculate the LCM of 784 and 792.

LCM(784,792) = 24×32×72×111
LCM(784,792) = 77616

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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

Least Common Multiple of 784 and 792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 784 and 792, than apply into the LCM equation.

GCF(784,792) = 8
LCM(784,792) = ( 784 × 792) / 8
LCM(784,792) = 620928 / 8
LCM(784,792) = 77616

Properties of LCM 784 and 792

(i) The LCM of 792 and 784 is associative

LCM of 784 and 792 = LCM of 792 and 784

Related Least Common Multiples of 784

Related Least Common Multiples of 792

Frequently Asked Questions on LCM of 784 and 792

1. What is the LCM of 784 and 792?

Answer: LCM of 784 and 792 is 77616.

2. What are the Factors of 784?

Answer: Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. There are 15 integers that are factors of 784. The greatest factor of 784 is 784.

3. 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.

4. How to Find the LCM of 784 and 792?

Answer:

Least Common Multiple of 784 and 792 = 77616

Step 1: Find the prime factorization of 784

784 = 2 x 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 792

792 = 2 x 2 x 2 x 3 x 3 x 11

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

LCM = 77616 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 784 and 792 is 77616.