Least Common Multiple of 819 and 825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 819 and 825 the smallest integer that is 225225 that is divisible by both numbers.

Least Common Multiple (LCM) of 819 and 825 is 225225.

LCM(819,825) = 225225

LCM of 819 and 825

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

LCM of:
and

Least Common Multiple of 819 and 825

LCM of 819 and 825 is 225225

Least common multiple can be found by multiplying the highest exponent prime factors of 819 and 825. First we will calculate the prime factors of 819 and 825.

Prime Factorization of 819


3 819
3 273
7 91
13 13
1

Prime factors of 819 are 3, 7,13. Prime factorization of 819 in exponential form is:

819 = 32×71×131

Prime Factorization of 825


3 825
5 275
5 55
11 11
1

Prime factors of 825 are 3, 5,11. Prime factorization of 825 in exponential form is:

825 = 31×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 819 and 825.

LCM(819,825) = 32×52×71×111×131
LCM(819,825) = 225225

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Least Common Multiple of 819 and 825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 819 and 825, than apply into the LCM equation.

GCF(819,825) = 3
LCM(819,825) = ( 819 × 825) / 3
LCM(819,825) = 675675 / 3
LCM(819,825) = 225225

Properties of LCM 819 and 825

(i) The LCM of 825 and 819 is associative

LCM of 819 and 825 = LCM of 825 and 819

Related Least Common Multiples of 819

Related Least Common Multiples of 825

Frequently Asked Questions on LCM of 819 and 825

1. What is the LCM of 819 and 825?

Answer: LCM of 819 and 825 is 225225.

2. What are the Factors of 819?

Answer: Factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819. There are 12 integers that are factors of 819. The greatest factor of 819 is 819.

3. What are the Factors of 825?

Answer: Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. There are 12 integers that are factors of 825. The greatest factor of 825 is 825.

4. How to Find the LCM of 819 and 825?

Answer:

Least Common Multiple of 819 and 825 = 225225

Step 1: Find the prime factorization of 819

819 = 3 x 3 x 7 x 13

Step 2: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

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

LCM = 225225 = 3 x 3 x 5 x 5 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 819 and 825 is 225225.