Least Common Multiple of 797 and 801

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 801 the smallest integer that is 638397 that is divisible by both numbers.

Least Common Multiple (LCM) of 797 and 801 is 638397.

LCM(797,801) = 638397

LCM of 797 and 801

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

LCM of:
and

Least Common Multiple of 797 and 801

LCM of 797 and 801 is 638397

Least common multiple can be found by multiplying the highest exponent prime factors of 797 and 801. First we will calculate the prime factors of 797 and 801.

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 801


3 801
3 267
89 89
1

Prime factors of 801 are 3,89. Prime factorization of 801 in exponential form is:

801 = 32×891

Now multiplying the highest exponent prime factors to calculate the LCM of 797 and 801.

LCM(797,801) = 32×891×7971
LCM(797,801) = 638397

Factors of 797

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

1, 797

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Least Common Multiple of 797 and 801 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 801, than apply into the LCM equation.

GCF(797,801) = 1
LCM(797,801) = ( 797 × 801) / 1
LCM(797,801) = 638397 / 1
LCM(797,801) = 638397

Properties of LCM 797 and 801

(i) The LCM of 801 and 797 is associative

LCM of 797 and 801 = LCM of 801 and 797

Related Least Common Multiples of 797

Related Least Common Multiples of 801

Frequently Asked Questions on LCM of 797 and 801

1. What is the LCM of 797 and 801?

Answer: LCM of 797 and 801 is 638397.

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 801?

Answer: Factors of 801 are 1, 3, 9, 89, 267, 801. There are 6 integers that are factors of 801. The greatest factor of 801 is 801.

4. How to Find the LCM of 797 and 801?

Answer:

Least Common Multiple of 797 and 801 = 638397

Step 1: Find the prime factorization of 797

797 = 797

Step 2: Find the prime factorization of 801

801 = 3 x 3 x 89

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

LCM = 638397 = 3 x 3 x 89 x 797

Step 4: Therefore, the least common multiple of 797 and 801 is 638397.