Least Common Multiple of 807 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 807 and 812 the smallest integer that is 655284 that is divisible by both numbers.

Least Common Multiple (LCM) of 807 and 812 is 655284.

LCM(807,812) = 655284

LCM of 807 and 812

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

LCM of:
and

Least Common Multiple of 807 and 812

LCM of 807 and 812 is 655284

Least common multiple can be found by multiplying the highest exponent prime factors of 807 and 812. First we will calculate the prime factors of 807 and 812.

Prime Factorization of 807


3 807
269 269
1

Prime factors of 807 are 3,269. Prime factorization of 807 in exponential form is:

807 = 31×2691

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 807 and 812.

LCM(807,812) = 22×31×71×291×2691
LCM(807,812) = 655284

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1, 3, 269, 807

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 807 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 807 and 812, than apply into the LCM equation.

GCF(807,812) = 1
LCM(807,812) = ( 807 × 812) / 1
LCM(807,812) = 655284 / 1
LCM(807,812) = 655284

Properties of LCM 807 and 812

(i) The LCM of 812 and 807 is associative

LCM of 807 and 812 = LCM of 812 and 807

Related Least Common Multiples of 807

Related Least Common Multiples of 812

Frequently Asked Questions on LCM of 807 and 812

1. What is the LCM of 807 and 812?

Answer: LCM of 807 and 812 is 655284.

2. What are the Factors of 807?

Answer: Factors of 807 are 1, 3, 269, 807. There are 4 integers that are factors of 807. The greatest factor of 807 is 807.

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 807 and 812?

Answer:

Least Common Multiple of 807 and 812 = 655284

Step 1: Find the prime factorization of 807

807 = 3 x 269

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 = 655284 = 2 x 2 x 3 x 7 x 29 x 269

Step 4: Therefore, the least common multiple of 807 and 812 is 655284.