Least Common Multiple of 810 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 810 and 816 the smallest integer that is 110160 that is divisible by both numbers.

Least Common Multiple (LCM) of 810 and 816 is 110160.

LCM(810,816) = 110160

LCM of 810 and 816

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

LCM of:
and

Least Common Multiple of 810 and 816

LCM of 810 and 816 is 110160

Least common multiple can be found by multiplying the highest exponent prime factors of 810 and 816. First we will calculate the prime factors of 810 and 816.

Prime Factorization of 810


2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 810 are 2, 3,5. Prime factorization of 810 in exponential form is:

810 = 21×34×51

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 810 and 816.

LCM(810,816) = 24×34×51×171
LCM(810,816) = 110160

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 810 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 810 and 816, than apply into the LCM equation.

GCF(810,816) = 6
LCM(810,816) = ( 810 × 816) / 6
LCM(810,816) = 660960 / 6
LCM(810,816) = 110160

Properties of LCM 810 and 816

(i) The LCM of 816 and 810 is associative

LCM of 810 and 816 = LCM of 816 and 810

Related Least Common Multiples of 810

Related Least Common Multiples of 816

Frequently Asked Questions on LCM of 810 and 816

1. What is the LCM of 810 and 816?

Answer: LCM of 810 and 816 is 110160.

2. What are the Factors of 810?

Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.

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 810 and 816?

Answer:

Least Common Multiple of 810 and 816 = 110160

Step 1: Find the prime factorization of 810

810 = 2 x 3 x 3 x 3 x 3 x 5

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 = 110160 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17

Step 4: Therefore, the least common multiple of 810 and 816 is 110160.