Least Common Multiple of 794 and 802

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 802 the smallest integer that is 318394 that is divisible by both numbers.

Least Common Multiple (LCM) of 794 and 802 is 318394.

LCM(794,802) = 318394

LCM of 794 and 802

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

LCM of:
and

Least Common Multiple of 794 and 802

LCM of 794 and 802 is 318394

Least common multiple can be found by multiplying the highest exponent prime factors of 794 and 802. First we will calculate the prime factors of 794 and 802.

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 802


2 802
401 401
1

Prime factors of 802 are 2,401. Prime factorization of 802 in exponential form is:

802 = 21×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 794 and 802.

LCM(794,802) = 21×3971×4011
LCM(794,802) = 318394

Factors of 794

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

1, 2, 397, 794

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Least Common Multiple of 794 and 802 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 802, than apply into the LCM equation.

GCF(794,802) = 2
LCM(794,802) = ( 794 × 802) / 2
LCM(794,802) = 636788 / 2
LCM(794,802) = 318394

Properties of LCM 794 and 802

(i) The LCM of 802 and 794 is associative

LCM of 794 and 802 = LCM of 802 and 794

Related Least Common Multiples of 794

Related Least Common Multiples of 802

Frequently Asked Questions on LCM of 794 and 802

1. What is the LCM of 794 and 802?

Answer: LCM of 794 and 802 is 318394.

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 802?

Answer: Factors of 802 are 1, 2, 401, 802. There are 4 integers that are factors of 802. The greatest factor of 802 is 802.

4. How to Find the LCM of 794 and 802?

Answer:

Least Common Multiple of 794 and 802 = 318394

Step 1: Find the prime factorization of 794

794 = 2 x 397

Step 2: Find the prime factorization of 802

802 = 2 x 401

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

LCM = 318394 = 2 x 397 x 401

Step 4: Therefore, the least common multiple of 794 and 802 is 318394.