Least Common Multiple of 808 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 808 and 816 the smallest integer that is 82416 that is divisible by both numbers.

Least Common Multiple (LCM) of 808 and 816 is 82416.

LCM(808,816) = 82416

LCM of 808 and 816

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

LCM of:
and

Least Common Multiple of 808 and 816

LCM of 808 and 816 is 82416

Least common multiple can be found by multiplying the highest exponent prime factors of 808 and 816. First we will calculate the prime factors of 808 and 816.

Prime Factorization of 808


2 808
2 404
2 202
101 101
1

Prime factors of 808 are 2,101. Prime factorization of 808 in exponential form is:

808 = 23×1011

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 808 and 816.

LCM(808,816) = 24×31×171×1011
LCM(808,816) = 82416

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

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 808 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 808 and 816, than apply into the LCM equation.

GCF(808,816) = 8
LCM(808,816) = ( 808 × 816) / 8
LCM(808,816) = 659328 / 8
LCM(808,816) = 82416

Properties of LCM 808 and 816

(i) The LCM of 816 and 808 is associative

LCM of 808 and 816 = LCM of 816 and 808

Related Least Common Multiples of 808

Related Least Common Multiples of 816

Frequently Asked Questions on LCM of 808 and 816

1. What is the LCM of 808 and 816?

Answer: LCM of 808 and 816 is 82416.

2. What are the Factors of 808?

Answer: Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. There are 8 integers that are factors of 808. The greatest factor of 808 is 808.

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 808 and 816?

Answer:

Least Common Multiple of 808 and 816 = 82416

Step 1: Find the prime factorization of 808

808 = 2 x 2 x 2 x 101

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 = 82416 = 2 x 2 x 2 x 2 x 3 x 17 x 101

Step 4: Therefore, the least common multiple of 808 and 816 is 82416.