Least Common Multiple of 790 and 793

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 793 the smallest integer that is 626470 that is divisible by both numbers.

Least Common Multiple (LCM) of 790 and 793 is 626470.

LCM(790,793) = 626470

LCM of 790 and 793

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

LCM of:
and

Least Common Multiple of 790 and 793

LCM of 790 and 793 is 626470

Least common multiple can be found by multiplying the highest exponent prime factors of 790 and 793. First we will calculate the prime factors of 790 and 793.

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 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 790 and 793.

LCM(790,793) = 21×51×131×611×791
LCM(790,793) = 626470

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 793

List of positive integer factors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Least Common Multiple of 790 and 793 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 793, than apply into the LCM equation.

GCF(790,793) = 1
LCM(790,793) = ( 790 × 793) / 1
LCM(790,793) = 626470 / 1
LCM(790,793) = 626470

Properties of LCM 790 and 793

(i) The LCM of 793 and 790 is associative

LCM of 790 and 793 = LCM of 793 and 790

Related Least Common Multiples of 790

Related Least Common Multiples of 793

Frequently Asked Questions on LCM of 790 and 793

1. What is the LCM of 790 and 793?

Answer: LCM of 790 and 793 is 626470.

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 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

4. How to Find the LCM of 790 and 793?

Answer:

Least Common Multiple of 790 and 793 = 626470

Step 1: Find the prime factorization of 790

790 = 2 x 5 x 79

Step 2: Find the prime factorization of 793

793 = 13 x 61

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

LCM = 626470 = 2 x 5 x 13 x 61 x 79

Step 4: Therefore, the least common multiple of 790 and 793 is 626470.