Least Common Multiple of 790 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 790 and 792 the smallest integer that is 312840 that is divisible by both numbers.

Least Common Multiple (LCM) of 790 and 792 is 312840.

LCM(790,792) = 312840

LCM of 790 and 792

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

LCM of:
and

Least Common Multiple of 790 and 792

LCM of 790 and 792 is 312840

Least common multiple can be found by multiplying the highest exponent prime factors of 790 and 792. First we will calculate the prime factors of 790 and 792.

Prime Factorization of 790


2 790
5 395
79 79
1

Prime factors of 790 are 2, 5,79. Prime factorization of 790 in exponential form is:

790 = 21×51×791

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 790 and 792.

LCM(790,792) = 23×32×51×111×791
LCM(790,792) = 312840

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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 790 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 790 and 792, than apply into the LCM equation.

GCF(790,792) = 2
LCM(790,792) = ( 790 × 792) / 2
LCM(790,792) = 625680 / 2
LCM(790,792) = 312840

Properties of LCM 790 and 792

(i) The LCM of 792 and 790 is associative

LCM of 790 and 792 = LCM of 792 and 790

Related Least Common Multiples of 790

Related Least Common Multiples of 792

Frequently Asked Questions on LCM of 790 and 792

1. What is the LCM of 790 and 792?

Answer: LCM of 790 and 792 is 312840.

2. What are the Factors of 790?

Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.

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 790 and 792?

Answer:

Least Common Multiple of 790 and 792 = 312840

Step 1: Find the prime factorization of 790

790 = 2 x 5 x 79

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 = 312840 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 79

Step 4: Therefore, the least common multiple of 790 and 792 is 312840.