Least Common Multiple of 812 and 816

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 816 the smallest integer that is 165648 that is divisible by both numbers.

Least Common Multiple (LCM) of 812 and 816 is 165648.

LCM(812,816) = 165648

LCM of 812 and 816

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

LCM of:
and

Least Common Multiple of 812 and 816

LCM of 812 and 816 is 165648

Least common multiple can be found by multiplying the highest exponent prime factors of 812 and 816. First we will calculate the prime factors of 812 and 816.

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 816


2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 816 are 2, 3,17. Prime factorization of 816 in exponential form is:

816 = 24×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 812 and 816.

LCM(812,816) = 24×31×71×171×291
LCM(812,816) = 165648

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 816

List of positive integer factors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Least Common Multiple of 812 and 816 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 816, than apply into the LCM equation.

GCF(812,816) = 4
LCM(812,816) = ( 812 × 816) / 4
LCM(812,816) = 662592 / 4
LCM(812,816) = 165648

Properties of LCM 812 and 816

(i) The LCM of 816 and 812 is associative

LCM of 812 and 816 = LCM of 816 and 812

Related Least Common Multiples of 812

Related Least Common Multiples of 816

Frequently Asked Questions on LCM of 812 and 816

1. What is the LCM of 812 and 816?

Answer: LCM of 812 and 816 is 165648.

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 816?

Answer: Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. There are 20 integers that are factors of 816. The greatest factor of 816 is 816.

4. How to Find the LCM of 812 and 816?

Answer:

Least Common Multiple of 812 and 816 = 165648

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 816

816 = 2 x 2 x 2 x 2 x 3 x 17

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

LCM = 165648 = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 29

Step 4: Therefore, the least common multiple of 812 and 816 is 165648.