Least Common Multiple of 811 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 811 and 816 the smallest integer that is 661776 that is divisible by both numbers.

Least Common Multiple (LCM) of 811 and 816 is 661776.

LCM(811,816) = 661776

LCM of 811 and 816

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

LCM of:
and

Least Common Multiple of 811 and 816

LCM of 811 and 816 is 661776

Least common multiple can be found by multiplying the highest exponent prime factors of 811 and 816. First we will calculate the prime factors of 811 and 816.

Prime Factorization of 811


811 811
1

Prime factors of 811 are 811. Prime factorization of 811 in exponential form is:

811 = 8111

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 811 and 816.

LCM(811,816) = 24×31×171×8111
LCM(811,816) = 661776

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1, 811

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 811 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 811 and 816, than apply into the LCM equation.

GCF(811,816) = 1
LCM(811,816) = ( 811 × 816) / 1
LCM(811,816) = 661776 / 1
LCM(811,816) = 661776

Properties of LCM 811 and 816

(i) The LCM of 816 and 811 is associative

LCM of 811 and 816 = LCM of 816 and 811

Related Least Common Multiples of 811

Related Least Common Multiples of 816

Frequently Asked Questions on LCM of 811 and 816

1. What is the LCM of 811 and 816?

Answer: LCM of 811 and 816 is 661776.

2. What are the Factors of 811?

Answer: Factors of 811 are 1, 811. There are 2 integers that are factors of 811. The greatest factor of 811 is 811.

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 811 and 816?

Answer:

Least Common Multiple of 811 and 816 = 661776

Step 1: Find the prime factorization of 811

811 = 811

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 = 661776 = 2 x 2 x 2 x 2 x 3 x 17 x 811

Step 4: Therefore, the least common multiple of 811 and 816 is 661776.