Least Common Multiple of 809 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 809 and 816 the smallest integer that is 660144 that is divisible by both numbers.

Least Common Multiple (LCM) of 809 and 816 is 660144.

LCM(809,816) = 660144

LCM of 809 and 816

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

LCM of:
and

Least Common Multiple of 809 and 816

LCM of 809 and 816 is 660144

Least common multiple can be found by multiplying the highest exponent prime factors of 809 and 816. First we will calculate the prime factors of 809 and 816.

Prime Factorization of 809


809 809
1

Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:

809 = 8091

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 809 and 816.

LCM(809,816) = 24×31×171×8091
LCM(809,816) = 660144

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1, 809

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 809 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 809 and 816, than apply into the LCM equation.

GCF(809,816) = 1
LCM(809,816) = ( 809 × 816) / 1
LCM(809,816) = 660144 / 1
LCM(809,816) = 660144

Properties of LCM 809 and 816

(i) The LCM of 816 and 809 is associative

LCM of 809 and 816 = LCM of 816 and 809

Related Least Common Multiples of 809

Related Least Common Multiples of 816

Frequently Asked Questions on LCM of 809 and 816

1. What is the LCM of 809 and 816?

Answer: LCM of 809 and 816 is 660144.

2. What are the Factors of 809?

Answer: Factors of 809 are 1, 809. There are 2 integers that are factors of 809. The greatest factor of 809 is 809.

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 809 and 816?

Answer:

Least Common Multiple of 809 and 816 = 660144

Step 1: Find the prime factorization of 809

809 = 809

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 = 660144 = 2 x 2 x 2 x 2 x 3 x 17 x 809

Step 4: Therefore, the least common multiple of 809 and 816 is 660144.