Least Common Multiple of 791 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 791 and 792 the smallest integer that is 626472 that is divisible by both numbers.

Least Common Multiple (LCM) of 791 and 792 is 626472.

LCM(791,792) = 626472

LCM of 791 and 792

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

LCM of:
and

Least Common Multiple of 791 and 792

LCM of 791 and 792 is 626472

Least common multiple can be found by multiplying the highest exponent prime factors of 791 and 792. First we will calculate the prime factors of 791 and 792.

Prime Factorization of 791


7 791
113 113
1

Prime factors of 791 are 7,113. Prime factorization of 791 in exponential form is:

791 = 71×1131

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 791 and 792.

LCM(791,792) = 23×32×71×111×1131
LCM(791,792) = 626472

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1, 7, 113, 791

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 791 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 791 and 792, than apply into the LCM equation.

GCF(791,792) = 1
LCM(791,792) = ( 791 × 792) / 1
LCM(791,792) = 626472 / 1
LCM(791,792) = 626472

Properties of LCM 791 and 792

(i) The LCM of 792 and 791 is associative

LCM of 791 and 792 = LCM of 792 and 791

Related Least Common Multiples of 791

Related Least Common Multiples of 792

Frequently Asked Questions on LCM of 791 and 792

1. What is the LCM of 791 and 792?

Answer: LCM of 791 and 792 is 626472.

2. What are the Factors of 791?

Answer: Factors of 791 are 1, 7, 113, 791. There are 4 integers that are factors of 791. The greatest factor of 791 is 791.

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 791 and 792?

Answer:

Least Common Multiple of 791 and 792 = 626472

Step 1: Find the prime factorization of 791

791 = 7 x 113

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 = 626472 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 113

Step 4: Therefore, the least common multiple of 791 and 792 is 626472.