Least Common Multiple of 822 and 824

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 824 the smallest integer that is 338664 that is divisible by both numbers.

Least Common Multiple (LCM) of 822 and 824 is 338664.

LCM(822,824) = 338664

LCM of 822 and 824

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

LCM of:
and

Least Common Multiple of 822 and 824

LCM of 822 and 824 is 338664

Least common multiple can be found by multiplying the highest exponent prime factors of 822 and 824. First we will calculate the prime factors of 822 and 824.

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 824


2 824
2 412
2 206
103 103
1

Prime factors of 824 are 2,103. Prime factorization of 824 in exponential form is:

824 = 23×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 822 and 824.

LCM(822,824) = 23×31×1031×1371
LCM(822,824) = 338664

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 824

List of positive integer factors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Least Common Multiple of 822 and 824 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 824, than apply into the LCM equation.

GCF(822,824) = 2
LCM(822,824) = ( 822 × 824) / 2
LCM(822,824) = 677328 / 2
LCM(822,824) = 338664

Properties of LCM 822 and 824

(i) The LCM of 824 and 822 is associative

LCM of 822 and 824 = LCM of 824 and 822

Related Least Common Multiples of 822

Related Least Common Multiples of 824

Frequently Asked Questions on LCM of 822 and 824

1. What is the LCM of 822 and 824?

Answer: LCM of 822 and 824 is 338664.

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 824?

Answer: Factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824. There are 8 integers that are factors of 824. The greatest factor of 824 is 824.

4. How to Find the LCM of 822 and 824?

Answer:

Least Common Multiple of 822 and 824 = 338664

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

Step 2: Find the prime factorization of 824

824 = 2 x 2 x 2 x 103

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

LCM = 338664 = 2 x 2 x 2 x 3 x 103 x 137

Step 4: Therefore, the least common multiple of 822 and 824 is 338664.