Least Common Multiple of 822 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 822 and 828 the smallest integer that is 113436 that is divisible by both numbers.

Least Common Multiple (LCM) of 822 and 828 is 113436.

LCM(822,828) = 113436

LCM of 822 and 828

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

LCM of:
and

Least Common Multiple of 822 and 828

LCM of 822 and 828 is 113436

Least common multiple can be found by multiplying the highest exponent prime factors of 822 and 828. First we will calculate the prime factors of 822 and 828.

Prime Factorization of 822


2 822
3 411
137 137
1

Prime factors of 822 are 2, 3,137. Prime factorization of 822 in exponential form is:

822 = 21×31×1371

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 822 and 828.

LCM(822,828) = 22×32×231×1371
LCM(822,828) = 113436

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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 822 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 822 and 828, than apply into the LCM equation.

GCF(822,828) = 6
LCM(822,828) = ( 822 × 828) / 6
LCM(822,828) = 680616 / 6
LCM(822,828) = 113436

Properties of LCM 822 and 828

(i) The LCM of 828 and 822 is associative

LCM of 822 and 828 = LCM of 828 and 822

Related Least Common Multiples of 822

Related Least Common Multiples of 828

Frequently Asked Questions on LCM of 822 and 828

1. What is the LCM of 822 and 828?

Answer: LCM of 822 and 828 is 113436.

2. What are the Factors of 822?

Answer: Factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822. There are 8 integers that are factors of 822. The greatest factor of 822 is 822.

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 822 and 828?

Answer:

Least Common Multiple of 822 and 828 = 113436

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

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 = 113436 = 2 x 2 x 3 x 3 x 23 x 137

Step 4: Therefore, the least common multiple of 822 and 828 is 113436.