Least Common Multiple of 812 and 818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 812 and 818 the smallest integer that is 332108 that is divisible by both numbers.

Least Common Multiple (LCM) of 812 and 818 is 332108.

LCM(812,818) = 332108

LCM of 812 and 818

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

LCM of:
and

Least Common Multiple of 812 and 818

LCM of 812 and 818 is 332108

Least common multiple can be found by multiplying the highest exponent prime factors of 812 and 818. First we will calculate the prime factors of 812 and 818.

Prime Factorization of 812


2 812
2 406
7 203
29 29
1

Prime factors of 812 are 2, 7,29. Prime factorization of 812 in exponential form is:

812 = 22×71×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 812 and 818.

LCM(812,818) = 22×71×291×4091
LCM(812,818) = 332108

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Factors of 818

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

1, 2, 409, 818

Least Common Multiple of 812 and 818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 812 and 818, than apply into the LCM equation.

GCF(812,818) = 2
LCM(812,818) = ( 812 × 818) / 2
LCM(812,818) = 664216 / 2
LCM(812,818) = 332108

Properties of LCM 812 and 818

(i) The LCM of 818 and 812 is associative

LCM of 812 and 818 = LCM of 818 and 812

Related Least Common Multiples of 812

Related Least Common Multiples of 818

Frequently Asked Questions on LCM of 812 and 818

1. What is the LCM of 812 and 818?

Answer: LCM of 812 and 818 is 332108.

2. What are the Factors of 812?

Answer: Factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812. There are 12 integers that are factors of 812. The greatest factor of 812 is 812.

3. 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.

4. How to Find the LCM of 812 and 818?

Answer:

Least Common Multiple of 812 and 818 = 332108

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 818

818 = 2 x 409

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

LCM = 332108 = 2 x 2 x 7 x 29 x 409

Step 4: Therefore, the least common multiple of 812 and 818 is 332108.