Least Common Multiple of 796 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 796 and 801 the smallest integer that is 637596 that is divisible by both numbers.

Least Common Multiple (LCM) of 796 and 801 is 637596.

LCM(796,801) = 637596

LCM of 796 and 801

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

LCM of:
and

Least Common Multiple of 796 and 801

LCM of 796 and 801 is 637596

Least common multiple can be found by multiplying the highest exponent prime factors of 796 and 801. First we will calculate the prime factors of 796 and 801.

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 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 796 and 801.

LCM(796,801) = 22×32×891×1991
LCM(796,801) = 637596

Factors of 796

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

1, 2, 4, 199, 398, 796

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 796 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 796 and 801, than apply into the LCM equation.

GCF(796,801) = 1
LCM(796,801) = ( 796 × 801) / 1
LCM(796,801) = 637596 / 1
LCM(796,801) = 637596

Properties of LCM 796 and 801

(i) The LCM of 801 and 796 is associative

LCM of 796 and 801 = LCM of 801 and 796

Related Least Common Multiples of 796

Related Least Common Multiples of 801

Frequently Asked Questions on LCM of 796 and 801

1. What is the LCM of 796 and 801?

Answer: LCM of 796 and 801 is 637596.

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 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 796 and 801?

Answer:

Least Common Multiple of 796 and 801 = 637596

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

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 = 637596 = 2 x 2 x 3 x 3 x 89 x 199

Step 4: Therefore, the least common multiple of 796 and 801 is 637596.