Least Common Multiple of 790 and 798

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 798 the smallest integer that is 315210 that is divisible by both numbers.

Least Common Multiple (LCM) of 790 and 798 is 315210.

LCM(790,798) = 315210

LCM of 790 and 798

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

LCM of:
and

Least Common Multiple of 790 and 798

LCM of 790 and 798 is 315210

Least common multiple can be found by multiplying the highest exponent prime factors of 790 and 798. First we will calculate the prime factors of 790 and 798.

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 798


2 798
3 399
7 133
19 19
1

Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:

798 = 21×31×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 790 and 798.

LCM(790,798) = 21×31×51×71×191×791
LCM(790,798) = 315210

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 798

List of positive integer factors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Least Common Multiple of 790 and 798 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 798, than apply into the LCM equation.

GCF(790,798) = 2
LCM(790,798) = ( 790 × 798) / 2
LCM(790,798) = 630420 / 2
LCM(790,798) = 315210

Properties of LCM 790 and 798

(i) The LCM of 798 and 790 is associative

LCM of 790 and 798 = LCM of 798 and 790

Related Least Common Multiples of 790

Related Least Common Multiples of 798

Frequently Asked Questions on LCM of 790 and 798

1. What is the LCM of 790 and 798?

Answer: LCM of 790 and 798 is 315210.

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 798?

Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.

4. How to Find the LCM of 790 and 798?

Answer:

Least Common Multiple of 790 and 798 = 315210

Step 1: Find the prime factorization of 790

790 = 2 x 5 x 79

Step 2: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

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

LCM = 315210 = 2 x 3 x 5 x 7 x 19 x 79

Step 4: Therefore, the least common multiple of 790 and 798 is 315210.