Least Common Multiple of 796 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 796 and 802 the smallest integer that is 319196 that is divisible by both numbers.

Least Common Multiple (LCM) of 796 and 802 is 319196.

LCM(796,802) = 319196

LCM of 796 and 802

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

LCM of:
and

Least Common Multiple of 796 and 802

LCM of 796 and 802 is 319196

Least common multiple can be found by multiplying the highest exponent prime factors of 796 and 802. First we will calculate the prime factors of 796 and 802.

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

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 796 and 802.

LCM(796,802) = 22×1991×4011
LCM(796,802) = 319196

Factors of 796

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

1, 2, 4, 199, 398, 796

Factors of 802

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

1, 2, 401, 802

Least Common Multiple of 796 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 796 and 802, than apply into the LCM equation.

GCF(796,802) = 2
LCM(796,802) = ( 796 × 802) / 2
LCM(796,802) = 638392 / 2
LCM(796,802) = 319196

Properties of LCM 796 and 802

(i) The LCM of 802 and 796 is associative

LCM of 796 and 802 = LCM of 802 and 796

Related Least Common Multiples of 796

Related Least Common Multiples of 802

Frequently Asked Questions on LCM of 796 and 802

1. What is the LCM of 796 and 802?

Answer: LCM of 796 and 802 is 319196.

2. 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.

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 796 and 802?

Answer:

Least Common Multiple of 796 and 802 = 319196

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

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 = 319196 = 2 x 2 x 199 x 401

Step 4: Therefore, the least common multiple of 796 and 802 is 319196.