Least Common Multiple of 818 and 822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 818 and 822 the smallest integer that is 336198 that is divisible by both numbers.

Least Common Multiple (LCM) of 818 and 822 is 336198.

LCM(818,822) = 336198

LCM of 818 and 822

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

LCM of:
and

Least Common Multiple of 818 and 822

LCM of 818 and 822 is 336198

Least common multiple can be found by multiplying the highest exponent prime factors of 818 and 822. First we will calculate the prime factors of 818 and 822.

Prime Factorization of 818


2 818
409 409
1

Prime factors of 818 are 2,409. Prime factorization of 818 in exponential form is:

818 = 21×4091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 818 and 822.

LCM(818,822) = 21×31×1371×4091
LCM(818,822) = 336198

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Factors of 822

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

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

Least Common Multiple of 818 and 822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 818 and 822, than apply into the LCM equation.

GCF(818,822) = 2
LCM(818,822) = ( 818 × 822) / 2
LCM(818,822) = 672396 / 2
LCM(818,822) = 336198

Properties of LCM 818 and 822

(i) The LCM of 822 and 818 is associative

LCM of 818 and 822 = LCM of 822 and 818

Related Least Common Multiples of 818

Related Least Common Multiples of 822

Frequently Asked Questions on LCM of 818 and 822

1. What is the LCM of 818 and 822?

Answer: LCM of 818 and 822 is 336198.

2. What are the Factors of 818?

Answer: Factors of 818 are 1, 2, 409, 818. There are 4 integers that are factors of 818. The greatest factor of 818 is 818.

3. 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.

4. How to Find the LCM of 818 and 822?

Answer:

Least Common Multiple of 818 and 822 = 336198

Step 1: Find the prime factorization of 818

818 = 2 x 409

Step 2: Find the prime factorization of 822

822 = 2 x 3 x 137

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

LCM = 336198 = 2 x 3 x 137 x 409

Step 4: Therefore, the least common multiple of 818 and 822 is 336198.