Least Common Multiple of 815 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 815 and 816 the smallest integer that is 665040 that is divisible by both numbers.

Least Common Multiple (LCM) of 815 and 816 is 665040.

LCM(815,816) = 665040

LCM of 815 and 816

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

LCM of:
and

Least Common Multiple of 815 and 816

LCM of 815 and 816 is 665040

Least common multiple can be found by multiplying the highest exponent prime factors of 815 and 816. First we will calculate the prime factors of 815 and 816.

Prime Factorization of 815


5 815
163 163
1

Prime factors of 815 are 5,163. Prime factorization of 815 in exponential form is:

815 = 51×1631

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 815 and 816.

LCM(815,816) = 24×31×51×171×1631
LCM(815,816) = 665040

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1, 5, 163, 815

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 815 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 815 and 816, than apply into the LCM equation.

GCF(815,816) = 1
LCM(815,816) = ( 815 × 816) / 1
LCM(815,816) = 665040 / 1
LCM(815,816) = 665040

Properties of LCM 815 and 816

(i) The LCM of 816 and 815 is associative

LCM of 815 and 816 = LCM of 816 and 815

Related Least Common Multiples of 815

Related Least Common Multiples of 816

Frequently Asked Questions on LCM of 815 and 816

1. What is the LCM of 815 and 816?

Answer: LCM of 815 and 816 is 665040.

2. What are the Factors of 815?

Answer: Factors of 815 are 1, 5, 163, 815. There are 4 integers that are factors of 815. The greatest factor of 815 is 815.

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 815 and 816?

Answer:

Least Common Multiple of 815 and 816 = 665040

Step 1: Find the prime factorization of 815

815 = 5 x 163

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 = 665040 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 163

Step 4: Therefore, the least common multiple of 815 and 816 is 665040.