Least Common Multiple of 803 and 810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 803 and 810 the smallest integer that is 650430 that is divisible by both numbers.

Least Common Multiple (LCM) of 803 and 810 is 650430.

LCM(803,810) = 650430

LCM of 803 and 810

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

LCM of:
and

Least Common Multiple of 803 and 810

LCM of 803 and 810 is 650430

Least common multiple can be found by multiplying the highest exponent prime factors of 803 and 810. First we will calculate the prime factors of 803 and 810.

Prime Factorization of 803


11 803
73 73
1

Prime factors of 803 are 11,73. Prime factorization of 803 in exponential form is:

803 = 111×731

Prime Factorization of 810


2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 810 are 2, 3,5. Prime factorization of 810 in exponential form is:

810 = 21×34×51

Now multiplying the highest exponent prime factors to calculate the LCM of 803 and 810.

LCM(803,810) = 21×34×51×111×731
LCM(803,810) = 650430

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Least Common Multiple of 803 and 810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 803 and 810, than apply into the LCM equation.

GCF(803,810) = 1
LCM(803,810) = ( 803 × 810) / 1
LCM(803,810) = 650430 / 1
LCM(803,810) = 650430

Properties of LCM 803 and 810

(i) The LCM of 810 and 803 is associative

LCM of 803 and 810 = LCM of 810 and 803

Related Least Common Multiples of 803

Related Least Common Multiples of 810

Frequently Asked Questions on LCM of 803 and 810

1. What is the LCM of 803 and 810?

Answer: LCM of 803 and 810 is 650430.

2. What are the Factors of 803?

Answer: Factors of 803 are 1, 11, 73, 803. There are 4 integers that are factors of 803. The greatest factor of 803 is 803.

3. What are the Factors of 810?

Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.

4. How to Find the LCM of 803 and 810?

Answer:

Least Common Multiple of 803 and 810 = 650430

Step 1: Find the prime factorization of 803

803 = 11 x 73

Step 2: Find the prime factorization of 810

810 = 2 x 3 x 3 x 3 x 3 x 5

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

LCM = 650430 = 2 x 3 x 3 x 3 x 3 x 5 x 11 x 73

Step 4: Therefore, the least common multiple of 803 and 810 is 650430.