Least Common Multiple of 8208 and 8215

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 8215 the smallest integer that is 67428720 that is divisible by both numbers.

Least Common Multiple (LCM) of 8208 and 8215 is 67428720.

LCM(8208,8215) = 67428720

LCM of 8208 and 8215

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

LCM of:
and

Least Common Multiple of 8208 and 8215

LCM of 8208 and 8215 is 67428720

Least common multiple can be found by multiplying the highest exponent prime factors of 8208 and 8215. First we will calculate the prime factors of 8208 and 8215.

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 8215


5 8215
31 1643
53 53
1

Prime factors of 8215 are 5, 31,53. Prime factorization of 8215 in exponential form is:

8215 = 51×311×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8208 and 8215.

LCM(8208,8215) = 24×33×51×191×311×531
LCM(8208,8215) = 67428720

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 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1, 5, 31, 53, 155, 265, 1643, 8215

Least Common Multiple of 8208 and 8215 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 8215, than apply into the LCM equation.

GCF(8208,8215) = 1
LCM(8208,8215) = ( 8208 × 8215) / 1
LCM(8208,8215) = 67428720 / 1
LCM(8208,8215) = 67428720

Properties of LCM 8208 and 8215

(i) The LCM of 8215 and 8208 is associative

LCM of 8208 and 8215 = LCM of 8215 and 8208

Related Least Common Multiples of 8208

Related Least Common Multiples of 8215

Frequently Asked Questions on LCM of 8208 and 8215

1. What is the LCM of 8208 and 8215?

Answer: LCM of 8208 and 8215 is 67428720.

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 8215?

Answer: Factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215. There are 8 integers that are factors of 8215. The greatest factor of 8215 is 8215.

4. How to Find the LCM of 8208 and 8215?

Answer:

Least Common Multiple of 8208 and 8215 = 67428720

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 8215

8215 = 5 x 31 x 53

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

LCM = 67428720 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 31 x 53

Step 4: Therefore, the least common multiple of 8208 and 8215 is 67428720.