Least Common Multiple of 793 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 793 and 801 the smallest integer that is 635193 that is divisible by both numbers.

Least Common Multiple (LCM) of 793 and 801 is 635193.

LCM(793,801) = 635193

LCM of 793 and 801

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

LCM of:
and

Least Common Multiple of 793 and 801

LCM of 793 and 801 is 635193

Least common multiple can be found by multiplying the highest exponent prime factors of 793 and 801. First we will calculate the prime factors of 793 and 801.

Prime Factorization of 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

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 793 and 801.

LCM(793,801) = 32×131×611×891
LCM(793,801) = 635193

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1, 13, 61, 793

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 793 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 793 and 801, than apply into the LCM equation.

GCF(793,801) = 1
LCM(793,801) = ( 793 × 801) / 1
LCM(793,801) = 635193 / 1
LCM(793,801) = 635193

Properties of LCM 793 and 801

(i) The LCM of 801 and 793 is associative

LCM of 793 and 801 = LCM of 801 and 793

Related Least Common Multiples of 793

Related Least Common Multiples of 801

Frequently Asked Questions on LCM of 793 and 801

1. What is the LCM of 793 and 801?

Answer: LCM of 793 and 801 is 635193.

2. What are the Factors of 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

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 793 and 801?

Answer:

Least Common Multiple of 793 and 801 = 635193

Step 1: Find the prime factorization of 793

793 = 13 x 61

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 = 635193 = 3 x 3 x 13 x 61 x 89

Step 4: Therefore, the least common multiple of 793 and 801 is 635193.