Least Common Multiple of 794 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 794 and 798 the smallest integer that is 316806 that is divisible by both numbers.

Least Common Multiple (LCM) of 794 and 798 is 316806.

LCM(794,798) = 316806

LCM of 794 and 798

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

LCM of:
and

Least Common Multiple of 794 and 798

LCM of 794 and 798 is 316806

Least common multiple can be found by multiplying the highest exponent prime factors of 794 and 798. First we will calculate the prime factors of 794 and 798.

Prime Factorization of 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

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 794 and 798.

LCM(794,798) = 21×31×71×191×3971
LCM(794,798) = 316806

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 794 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 794 and 798, than apply into the LCM equation.

GCF(794,798) = 2
LCM(794,798) = ( 794 × 798) / 2
LCM(794,798) = 633612 / 2
LCM(794,798) = 316806

Properties of LCM 794 and 798

(i) The LCM of 798 and 794 is associative

LCM of 794 and 798 = LCM of 798 and 794

Related Least Common Multiples of 794

Related Least Common Multiples of 798

Frequently Asked Questions on LCM of 794 and 798

1. What is the LCM of 794 and 798?

Answer: LCM of 794 and 798 is 316806.

2. What are the Factors of 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

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 794 and 798?

Answer:

Least Common Multiple of 794 and 798 = 316806

Step 1: Find the prime factorization of 794

794 = 2 x 397

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 = 316806 = 2 x 3 x 7 x 19 x 397

Step 4: Therefore, the least common multiple of 794 and 798 is 316806.