Least Common Multiple of 823 and 828

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 828 the smallest integer that is 681444 that is divisible by both numbers.

Least Common Multiple (LCM) of 823 and 828 is 681444.

LCM(823,828) = 681444

LCM of 823 and 828

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

LCM of:
and

Least Common Multiple of 823 and 828

LCM of 823 and 828 is 681444

Least common multiple can be found by multiplying the highest exponent prime factors of 823 and 828. First we will calculate the prime factors of 823 and 828.

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 828


2 828
2 414
3 207
3 69
23 23
1

Prime factors of 828 are 2, 3,23. Prime factorization of 828 in exponential form is:

828 = 22×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 823 and 828.

LCM(823,828) = 22×32×231×8231
LCM(823,828) = 681444

Factors of 823

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

1, 823

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Least Common Multiple of 823 and 828 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 828, than apply into the LCM equation.

GCF(823,828) = 1
LCM(823,828) = ( 823 × 828) / 1
LCM(823,828) = 681444 / 1
LCM(823,828) = 681444

Properties of LCM 823 and 828

(i) The LCM of 828 and 823 is associative

LCM of 823 and 828 = LCM of 828 and 823

Related Least Common Multiples of 823

Related Least Common Multiples of 828

Frequently Asked Questions on LCM of 823 and 828

1. What is the LCM of 823 and 828?

Answer: LCM of 823 and 828 is 681444.

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 828?

Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.

4. How to Find the LCM of 823 and 828?

Answer:

Least Common Multiple of 823 and 828 = 681444

Step 1: Find the prime factorization of 823

823 = 823

Step 2: Find the prime factorization of 828

828 = 2 x 2 x 3 x 3 x 23

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

LCM = 681444 = 2 x 2 x 3 x 3 x 23 x 823

Step 4: Therefore, the least common multiple of 823 and 828 is 681444.