Least Common Multiple of 8203 and 8208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8203 and 8208 the smallest integer that is 67330224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8203 and 8208 is 67330224.

LCM(8203,8208) = 67330224

LCM of 8203 and 8208

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

LCM of:
and

Least Common Multiple of 8203 and 8208

LCM of 8203 and 8208 is 67330224

Least common multiple can be found by multiplying the highest exponent prime factors of 8203 and 8208. First we will calculate the prime factors of 8203 and 8208.

Prime Factorization of 8203


13 8203
631 631
1

Prime factors of 8203 are 13,631. Prime factorization of 8203 in exponential form is:

8203 = 131×6311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8203 and 8208.

LCM(8203,8208) = 24×33×131×191×6311
LCM(8203,8208) = 67330224

Factors of 8203

List of positive integer factors of 8203 that divides 8203 without a remainder.

1, 13, 631, 8203

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

Least Common Multiple of 8203 and 8208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8203 and 8208, than apply into the LCM equation.

GCF(8203,8208) = 1
LCM(8203,8208) = ( 8203 × 8208) / 1
LCM(8203,8208) = 67330224 / 1
LCM(8203,8208) = 67330224

Properties of LCM 8203 and 8208

(i) The LCM of 8208 and 8203 is associative

LCM of 8203 and 8208 = LCM of 8208 and 8203

Related Least Common Multiples of 8203

Related Least Common Multiples of 8208

Frequently Asked Questions on LCM of 8203 and 8208

1. What is the LCM of 8203 and 8208?

Answer: LCM of 8203 and 8208 is 67330224.

2. What are the Factors of 8203?

Answer: Factors of 8203 are 1, 13, 631, 8203. There are 4 integers that are factors of 8203. The greatest factor of 8203 is 8203.

3. 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.

4. How to Find the LCM of 8203 and 8208?

Answer:

Least Common Multiple of 8203 and 8208 = 67330224

Step 1: Find the prime factorization of 8203

8203 = 13 x 631

Step 2: Find the prime factorization of 8208

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

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

LCM = 67330224 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 19 x 631

Step 4: Therefore, the least common multiple of 8203 and 8208 is 67330224.