Least Common Multiple of 805 and 812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 805 and 812 the smallest integer that is 93380 that is divisible by both numbers.

Least Common Multiple (LCM) of 805 and 812 is 93380.

LCM(805,812) = 93380

LCM of 805 and 812

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

LCM of:
and

Least Common Multiple of 805 and 812

LCM of 805 and 812 is 93380

Least common multiple can be found by multiplying the highest exponent prime factors of 805 and 812. First we will calculate the prime factors of 805 and 812.

Prime Factorization of 805


5 805
7 161
23 23
1

Prime factors of 805 are 5, 7,23. Prime factorization of 805 in exponential form is:

805 = 51×71×231

Prime Factorization of 812


2 812
2 406
7 203
29 29
1

Prime factors of 812 are 2, 7,29. Prime factorization of 812 in exponential form is:

812 = 22×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 805 and 812.

LCM(805,812) = 22×51×71×231×291
LCM(805,812) = 93380

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Least Common Multiple of 805 and 812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 805 and 812, than apply into the LCM equation.

GCF(805,812) = 7
LCM(805,812) = ( 805 × 812) / 7
LCM(805,812) = 653660 / 7
LCM(805,812) = 93380

Properties of LCM 805 and 812

(i) The LCM of 812 and 805 is associative

LCM of 805 and 812 = LCM of 812 and 805

Related Least Common Multiples of 805

Related Least Common Multiples of 812

Frequently Asked Questions on LCM of 805 and 812

1. What is the LCM of 805 and 812?

Answer: LCM of 805 and 812 is 93380.

2. What are the Factors of 805?

Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.

3. What are the Factors of 812?

Answer: Factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812. There are 12 integers that are factors of 812. The greatest factor of 812 is 812.

4. How to Find the LCM of 805 and 812?

Answer:

Least Common Multiple of 805 and 812 = 93380

Step 1: Find the prime factorization of 805

805 = 5 x 7 x 23

Step 2: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

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

LCM = 93380 = 2 x 2 x 5 x 7 x 23 x 29

Step 4: Therefore, the least common multiple of 805 and 812 is 93380.