Least Common Multiple of 794 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 794 and 801 the smallest integer that is 635994 that is divisible by both numbers.

Least Common Multiple (LCM) of 794 and 801 is 635994.

LCM(794,801) = 635994

LCM of 794 and 801

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

LCM of:
and

Least Common Multiple of 794 and 801

LCM of 794 and 801 is 635994

Least common multiple can be found by multiplying the highest exponent prime factors of 794 and 801. First we will calculate the prime factors of 794 and 801.

Prime Factorization of 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

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 794 and 801.

LCM(794,801) = 21×32×891×3971
LCM(794,801) = 635994

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 794 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 794 and 801, than apply into the LCM equation.

GCF(794,801) = 1
LCM(794,801) = ( 794 × 801) / 1
LCM(794,801) = 635994 / 1
LCM(794,801) = 635994

Properties of LCM 794 and 801

(i) The LCM of 801 and 794 is associative

LCM of 794 and 801 = LCM of 801 and 794

Related Least Common Multiples of 794

Related Least Common Multiples of 801

Frequently Asked Questions on LCM of 794 and 801

1. What is the LCM of 794 and 801?

Answer: LCM of 794 and 801 is 635994.

2. What are the Factors of 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

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 794 and 801?

Answer:

Least Common Multiple of 794 and 801 = 635994

Step 1: Find the prime factorization of 794

794 = 2 x 397

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 = 635994 = 2 x 3 x 3 x 89 x 397

Step 4: Therefore, the least common multiple of 794 and 801 is 635994.