Least Common Multiple of 797 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 797 and 803 the smallest integer that is 639991 that is divisible by both numbers.

Least Common Multiple (LCM) of 797 and 803 is 639991.

LCM(797,803) = 639991

LCM of 797 and 803

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

LCM of:
and

Least Common Multiple of 797 and 803

LCM of 797 and 803 is 639991

Least common multiple can be found by multiplying the highest exponent prime factors of 797 and 803. First we will calculate the prime factors of 797 and 803.

Prime Factorization of 797


797 797
1

Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:

797 = 7971

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 797 and 803.

LCM(797,803) = 111×731×7971
LCM(797,803) = 639991

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1, 797

Factors of 803

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

1, 11, 73, 803

Least Common Multiple of 797 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 797 and 803, than apply into the LCM equation.

GCF(797,803) = 1
LCM(797,803) = ( 797 × 803) / 1
LCM(797,803) = 639991 / 1
LCM(797,803) = 639991

Properties of LCM 797 and 803

(i) The LCM of 803 and 797 is associative

LCM of 797 and 803 = LCM of 803 and 797

Related Least Common Multiples of 797

Related Least Common Multiples of 803

Frequently Asked Questions on LCM of 797 and 803

1. What is the LCM of 797 and 803?

Answer: LCM of 797 and 803 is 639991.

2. What are the Factors of 797?

Answer: Factors of 797 are 1, 797. There are 2 integers that are factors of 797. The greatest factor of 797 is 797.

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 797 and 803?

Answer:

Least Common Multiple of 797 and 803 = 639991

Step 1: Find the prime factorization of 797

797 = 797

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 = 639991 = 11 x 73 x 797

Step 4: Therefore, the least common multiple of 797 and 803 is 639991.