Least Common Multiple of 813 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 813 and 816 the smallest integer that is 221136 that is divisible by both numbers.

Least Common Multiple (LCM) of 813 and 816 is 221136.

LCM(813,816) = 221136

LCM of 813 and 816

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

LCM of:
and

Least Common Multiple of 813 and 816

LCM of 813 and 816 is 221136

Least common multiple can be found by multiplying the highest exponent prime factors of 813 and 816. First we will calculate the prime factors of 813 and 816.

Prime Factorization of 813


3 813
271 271
1

Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:

813 = 31×2711

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 813 and 816.

LCM(813,816) = 24×31×171×2711
LCM(813,816) = 221136

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1, 3, 271, 813

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 813 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 813 and 816, than apply into the LCM equation.

GCF(813,816) = 3
LCM(813,816) = ( 813 × 816) / 3
LCM(813,816) = 663408 / 3
LCM(813,816) = 221136

Properties of LCM 813 and 816

(i) The LCM of 816 and 813 is associative

LCM of 813 and 816 = LCM of 816 and 813

Related Least Common Multiples of 813

Related Least Common Multiples of 816

Frequently Asked Questions on LCM of 813 and 816

1. What is the LCM of 813 and 816?

Answer: LCM of 813 and 816 is 221136.

2. What are the Factors of 813?

Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.

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 813 and 816?

Answer:

Least Common Multiple of 813 and 816 = 221136

Step 1: Find the prime factorization of 813

813 = 3 x 271

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 = 221136 = 2 x 2 x 2 x 2 x 3 x 17 x 271

Step 4: Therefore, the least common multiple of 813 and 816 is 221136.