Least Common Multiple of 8208 and 8212

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 8212 the smallest integer that is 16851024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8208 and 8212 is 16851024.

LCM(8208,8212) = 16851024

LCM of 8208 and 8212

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

LCM of:
and

Least Common Multiple of 8208 and 8212

LCM of 8208 and 8212 is 16851024

Least common multiple can be found by multiplying the highest exponent prime factors of 8208 and 8212. First we will calculate the prime factors of 8208 and 8212.

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 8212


2 8212
2 4106
2053 2053
1

Prime factors of 8212 are 2,2053. Prime factorization of 8212 in exponential form is:

8212 = 22×20531

Now multiplying the highest exponent prime factors to calculate the LCM of 8208 and 8212.

LCM(8208,8212) = 24×33×191×20531
LCM(8208,8212) = 16851024

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 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1, 2, 4, 2053, 4106, 8212

Least Common Multiple of 8208 and 8212 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 8212, than apply into the LCM equation.

GCF(8208,8212) = 4
LCM(8208,8212) = ( 8208 × 8212) / 4
LCM(8208,8212) = 67404096 / 4
LCM(8208,8212) = 16851024

Properties of LCM 8208 and 8212

(i) The LCM of 8212 and 8208 is associative

LCM of 8208 and 8212 = LCM of 8212 and 8208

Related Least Common Multiples of 8208

Related Least Common Multiples of 8212

Frequently Asked Questions on LCM of 8208 and 8212

1. What is the LCM of 8208 and 8212?

Answer: LCM of 8208 and 8212 is 16851024.

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 8212?

Answer: Factors of 8212 are 1, 2, 4, 2053, 4106, 8212. There are 6 integers that are factors of 8212. The greatest factor of 8212 is 8212.

4. How to Find the LCM of 8208 and 8212?

Answer:

Least Common Multiple of 8208 and 8212 = 16851024

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 8212

8212 = 2 x 2 x 2053

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

LCM = 16851024 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 x 2053

Step 4: Therefore, the least common multiple of 8208 and 8212 is 16851024.