Least Common Multiple of 790 and 796

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 796 the smallest integer that is 314420 that is divisible by both numbers.

Least Common Multiple (LCM) of 790 and 796 is 314420.

LCM(790,796) = 314420

LCM of 790 and 796

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

LCM of:
and

Least Common Multiple of 790 and 796

LCM of 790 and 796 is 314420

Least common multiple can be found by multiplying the highest exponent prime factors of 790 and 796. First we will calculate the prime factors of 790 and 796.

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 796


2 796
2 398
199 199
1

Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:

796 = 22×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 790 and 796.

LCM(790,796) = 22×51×791×1991
LCM(790,796) = 314420

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 796

List of positive integer factors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Least Common Multiple of 790 and 796 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 796, than apply into the LCM equation.

GCF(790,796) = 2
LCM(790,796) = ( 790 × 796) / 2
LCM(790,796) = 628840 / 2
LCM(790,796) = 314420

Properties of LCM 790 and 796

(i) The LCM of 796 and 790 is associative

LCM of 790 and 796 = LCM of 796 and 790

Related Least Common Multiples of 790

Related Least Common Multiples of 796

Frequently Asked Questions on LCM of 790 and 796

1. What is the LCM of 790 and 796?

Answer: LCM of 790 and 796 is 314420.

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 796?

Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.

4. How to Find the LCM of 790 and 796?

Answer:

Least Common Multiple of 790 and 796 = 314420

Step 1: Find the prime factorization of 790

790 = 2 x 5 x 79

Step 2: Find the prime factorization of 796

796 = 2 x 2 x 199

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

LCM = 314420 = 2 x 2 x 5 x 79 x 199

Step 4: Therefore, the least common multiple of 790 and 796 is 314420.