Least Common Multiple of 8208 and 8216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8208 and 8216 the smallest integer that is 8429616 that is divisible by both numbers.

Least Common Multiple (LCM) of 8208 and 8216 is 8429616.

LCM(8208,8216) = 8429616

LCM of 8208 and 8216

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

LCM of:
and

Least Common Multiple of 8208 and 8216

LCM of 8208 and 8216 is 8429616

Least common multiple can be found by multiplying the highest exponent prime factors of 8208 and 8216. First we will calculate the prime factors of 8208 and 8216.

Prime Factorization of 8208


2 8208
2 4104
2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 8208 are 2, 3,19. Prime factorization of 8208 in exponential form is:

8208 = 24×33×191

Prime Factorization of 8216


2 8216
2 4108
2 2054
13 1027
79 79
1

Prime factors of 8216 are 2, 13,79. Prime factorization of 8216 in exponential form is:

8216 = 23×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8208 and 8216.

LCM(8208,8216) = 24×33×131×191×791
LCM(8208,8216) = 8429616

Factors of 8208

List of positive integer factors of 8208 that divides 8208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208

Factors of 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216

Least Common Multiple of 8208 and 8216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8208 and 8216, than apply into the LCM equation.

GCF(8208,8216) = 8
LCM(8208,8216) = ( 8208 × 8216) / 8
LCM(8208,8216) = 67436928 / 8
LCM(8208,8216) = 8429616

Properties of LCM 8208 and 8216

(i) The LCM of 8216 and 8208 is associative

LCM of 8208 and 8216 = LCM of 8216 and 8208

Related Least Common Multiples of 8208

Related Least Common Multiples of 8216

Frequently Asked Questions on LCM of 8208 and 8216

1. What is the LCM of 8208 and 8216?

Answer: LCM of 8208 and 8216 is 8429616.

2. What are the Factors of 8208?

Answer: Factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208. There are 40 integers that are factors of 8208. The greatest factor of 8208 is 8208.

3. What are the Factors of 8216?

Answer: Factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216. There are 16 integers that are factors of 8216. The greatest factor of 8216 is 8216.

4. How to Find the LCM of 8208 and 8216?

Answer:

Least Common Multiple of 8208 and 8216 = 8429616

Step 1: Find the prime factorization of 8208

8208 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 8216

8216 = 2 x 2 x 2 x 13 x 79

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 8429616 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 19 x 79

Step 4: Therefore, the least common multiple of 8208 and 8216 is 8429616.