Least Common Multiple of 796 and 803

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 803 the smallest integer that is 639188 that is divisible by both numbers.

Least Common Multiple (LCM) of 796 and 803 is 639188.

LCM(796,803) = 639188

LCM of 796 and 803

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

LCM of:
and

Least Common Multiple of 796 and 803

LCM of 796 and 803 is 639188

Least common multiple can be found by multiplying the highest exponent prime factors of 796 and 803. First we will calculate the prime factors of 796 and 803.

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 803


11 803
73 73
1

Prime factors of 803 are 11,73. Prime factorization of 803 in exponential form is:

803 = 111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 796 and 803.

LCM(796,803) = 22×111×731×1991
LCM(796,803) = 639188

Factors of 796

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

1, 2, 4, 199, 398, 796

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Least Common Multiple of 796 and 803 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 803, than apply into the LCM equation.

GCF(796,803) = 1
LCM(796,803) = ( 796 × 803) / 1
LCM(796,803) = 639188 / 1
LCM(796,803) = 639188

Properties of LCM 796 and 803

(i) The LCM of 803 and 796 is associative

LCM of 796 and 803 = LCM of 803 and 796

Related Least Common Multiples of 796

Related Least Common Multiples of 803

Frequently Asked Questions on LCM of 796 and 803

1. What is the LCM of 796 and 803?

Answer: LCM of 796 and 803 is 639188.

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 803?

Answer: Factors of 803 are 1, 11, 73, 803. There are 4 integers that are factors of 803. The greatest factor of 803 is 803.

4. How to Find the LCM of 796 and 803?

Answer:

Least Common Multiple of 796 and 803 = 639188

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

Step 2: Find the prime factorization of 803

803 = 11 x 73

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

LCM = 639188 = 2 x 2 x 11 x 73 x 199

Step 4: Therefore, the least common multiple of 796 and 803 is 639188.