Least Common Multiple of 822 and 823

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 823 the smallest integer that is 676506 that is divisible by both numbers.

Least Common Multiple (LCM) of 822 and 823 is 676506.

LCM(822,823) = 676506

LCM of 822 and 823

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

LCM of:
and

Least Common Multiple of 822 and 823

LCM of 822 and 823 is 676506

Least common multiple can be found by multiplying the highest exponent prime factors of 822 and 823. First we will calculate the prime factors of 822 and 823.

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 823


823 823
1

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

823 = 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 822 and 823.

LCM(822,823) = 21×31×1371×8231
LCM(822,823) = 676506

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 823

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

1, 823

Least Common Multiple of 822 and 823 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 823, than apply into the LCM equation.

GCF(822,823) = 1
LCM(822,823) = ( 822 × 823) / 1
LCM(822,823) = 676506 / 1
LCM(822,823) = 676506

Properties of LCM 822 and 823

(i) The LCM of 823 and 822 is associative

LCM of 822 and 823 = LCM of 823 and 822

Related Least Common Multiples of 822

Related Least Common Multiples of 823

Frequently Asked Questions on LCM of 822 and 823

1. What is the LCM of 822 and 823?

Answer: LCM of 822 and 823 is 676506.

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 823?

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

4. How to Find the LCM of 822 and 823?

Answer:

Least Common Multiple of 822 and 823 = 676506

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

Step 2: Find the prime factorization of 823

823 = 823

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

LCM = 676506 = 2 x 3 x 137 x 823

Step 4: Therefore, the least common multiple of 822 and 823 is 676506.