Least Common Multiple of 8212 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 8212 and 8216 the smallest integer that is 16867448 that is divisible by both numbers.

Least Common Multiple (LCM) of 8212 and 8216 is 16867448.

LCM(8212,8216) = 16867448

LCM of 8212 and 8216

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

LCM of:
and

Least Common Multiple of 8212 and 8216

LCM of 8212 and 8216 is 16867448

Least common multiple can be found by multiplying the highest exponent prime factors of 8212 and 8216. First we will calculate the prime factors of 8212 and 8216.

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

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 8212 and 8216.

LCM(8212,8216) = 23×131×791×20531
LCM(8212,8216) = 16867448

Factors of 8212

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

1, 2, 4, 2053, 4106, 8212

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 8212 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 8212 and 8216, than apply into the LCM equation.

GCF(8212,8216) = 4
LCM(8212,8216) = ( 8212 × 8216) / 4
LCM(8212,8216) = 67469792 / 4
LCM(8212,8216) = 16867448

Properties of LCM 8212 and 8216

(i) The LCM of 8216 and 8212 is associative

LCM of 8212 and 8216 = LCM of 8216 and 8212

Related Least Common Multiples of 8212

Related Least Common Multiples of 8216

Frequently Asked Questions on LCM of 8212 and 8216

1. What is the LCM of 8212 and 8216?

Answer: LCM of 8212 and 8216 is 16867448.

2. 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.

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 8212 and 8216?

Answer:

Least Common Multiple of 8212 and 8216 = 16867448

Step 1: Find the prime factorization of 8212

8212 = 2 x 2 x 2053

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 = 16867448 = 2 x 2 x 2 x 13 x 79 x 2053

Step 4: Therefore, the least common multiple of 8212 and 8216 is 16867448.