Least Common Multiple of 8208 and 8213

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 8213 the smallest integer that is 67412304 that is divisible by both numbers.

Least Common Multiple (LCM) of 8208 and 8213 is 67412304.

LCM(8208,8213) = 67412304

LCM of 8208 and 8213

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

LCM of:
and

Least Common Multiple of 8208 and 8213

LCM of 8208 and 8213 is 67412304

Least common multiple can be found by multiplying the highest exponent prime factors of 8208 and 8213. First we will calculate the prime factors of 8208 and 8213.

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 8213


43 8213
191 191
1

Prime factors of 8213 are 43,191. Prime factorization of 8213 in exponential form is:

8213 = 431×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8208 and 8213.

LCM(8208,8213) = 24×33×191×431×1911
LCM(8208,8213) = 67412304

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 8213

List of positive integer factors of 8213 that divides 8213 without a remainder.

1, 43, 191, 8213

Least Common Multiple of 8208 and 8213 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 8213, than apply into the LCM equation.

GCF(8208,8213) = 1
LCM(8208,8213) = ( 8208 × 8213) / 1
LCM(8208,8213) = 67412304 / 1
LCM(8208,8213) = 67412304

Properties of LCM 8208 and 8213

(i) The LCM of 8213 and 8208 is associative

LCM of 8208 and 8213 = LCM of 8213 and 8208

Related Least Common Multiples of 8208

Related Least Common Multiples of 8213

Frequently Asked Questions on LCM of 8208 and 8213

1. What is the LCM of 8208 and 8213?

Answer: LCM of 8208 and 8213 is 67412304.

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 8213?

Answer: Factors of 8213 are 1, 43, 191, 8213. There are 4 integers that are factors of 8213. The greatest factor of 8213 is 8213.

4. How to Find the LCM of 8208 and 8213?

Answer:

Least Common Multiple of 8208 and 8213 = 67412304

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 8213

8213 = 43 x 191

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

LCM = 67412304 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 x 43 x 191

Step 4: Therefore, the least common multiple of 8208 and 8213 is 67412304.