Least Common Multiple of 823 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 823 and 825 the smallest integer that is 678975 that is divisible by both numbers.

Least Common Multiple (LCM) of 823 and 825 is 678975.

LCM(823,825) = 678975

LCM of 823 and 825

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

LCM of:
and

Least Common Multiple of 823 and 825

LCM of 823 and 825 is 678975

Least common multiple can be found by multiplying the highest exponent prime factors of 823 and 825. First we will calculate the prime factors of 823 and 825.

Prime Factorization of 823


823 823
1

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

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 823 and 825.

LCM(823,825) = 31×52×111×8231
LCM(823,825) = 678975

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1, 823

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 823 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 823 and 825, than apply into the LCM equation.

GCF(823,825) = 1
LCM(823,825) = ( 823 × 825) / 1
LCM(823,825) = 678975 / 1
LCM(823,825) = 678975

Properties of LCM 823 and 825

(i) The LCM of 825 and 823 is associative

LCM of 823 and 825 = LCM of 825 and 823

Related Least Common Multiples of 823

Related Least Common Multiples of 825

Frequently Asked Questions on LCM of 823 and 825

1. What is the LCM of 823 and 825?

Answer: LCM of 823 and 825 is 678975.

2. What are the Factors of 823?

Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.

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 823 and 825?

Answer:

Least Common Multiple of 823 and 825 = 678975

Step 1: Find the prime factorization of 823

823 = 823

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 = 678975 = 3 x 5 x 5 x 11 x 823

Step 4: Therefore, the least common multiple of 823 and 825 is 678975.