Least Common Multiple of 818 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 818 and 823 the smallest integer that is 673214 that is divisible by both numbers.

Least Common Multiple (LCM) of 818 and 823 is 673214.

LCM(818,823) = 673214

LCM of 818 and 823

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

LCM of:
and

Least Common Multiple of 818 and 823

LCM of 818 and 823 is 673214

Least common multiple can be found by multiplying the highest exponent prime factors of 818 and 823. First we will calculate the prime factors of 818 and 823.

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 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 818 and 823.

LCM(818,823) = 21×4091×8231
LCM(818,823) = 673214

Factors of 818

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

1, 2, 409, 818

Factors of 823

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

1, 823

Least Common Multiple of 818 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 818 and 823, than apply into the LCM equation.

GCF(818,823) = 1
LCM(818,823) = ( 818 × 823) / 1
LCM(818,823) = 673214 / 1
LCM(818,823) = 673214

Properties of LCM 818 and 823

(i) The LCM of 823 and 818 is associative

LCM of 818 and 823 = LCM of 823 and 818

Related Least Common Multiples of 818

Related Least Common Multiples of 823

Frequently Asked Questions on LCM of 818 and 823

1. What is the LCM of 818 and 823?

Answer: LCM of 818 and 823 is 673214.

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 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 818 and 823?

Answer:

Least Common Multiple of 818 and 823 = 673214

Step 1: Find the prime factorization of 818

818 = 2 x 409

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 = 673214 = 2 x 409 x 823

Step 4: Therefore, the least common multiple of 818 and 823 is 673214.