Least Common Multiple of 6212 and 6216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6212 and 6216 the smallest integer that is 9653448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6212 and 6216 is 9653448.

LCM(6212,6216) = 9653448

LCM of 6212 and 6216

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

LCM of:
and

Least Common Multiple of 6212 and 6216

LCM of 6212 and 6216 is 9653448

Least common multiple can be found by multiplying the highest exponent prime factors of 6212 and 6216. First we will calculate the prime factors of 6212 and 6216.

Prime Factorization of 6212


2 6212
2 3106
1553 1553
1

Prime factors of 6212 are 2,1553. Prime factorization of 6212 in exponential form is:

6212 = 22×15531

Prime Factorization of 6216


2 6216
2 3108
2 1554
3 777
7 259
37 37
1

Prime factors of 6216 are 2, 3, 7,37. Prime factorization of 6216 in exponential form is:

6216 = 23×31×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6212 and 6216.

LCM(6212,6216) = 23×31×71×371×15531
LCM(6212,6216) = 9653448

Factors of 6212

List of positive integer factors of 6212 that divides 6212 without a remainder.

1, 2, 4, 1553, 3106, 6212

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 56, 74, 84, 111, 148, 168, 222, 259, 296, 444, 518, 777, 888, 1036, 1554, 2072, 3108, 6216

Least Common Multiple of 6212 and 6216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6212 and 6216, than apply into the LCM equation.

GCF(6212,6216) = 4
LCM(6212,6216) = ( 6212 × 6216) / 4
LCM(6212,6216) = 38613792 / 4
LCM(6212,6216) = 9653448

Properties of LCM 6212 and 6216

(i) The LCM of 6216 and 6212 is associative

LCM of 6212 and 6216 = LCM of 6216 and 6212

Related Least Common Multiples of 6212

Related Least Common Multiples of 6216

Frequently Asked Questions on LCM of 6212 and 6216

1. What is the LCM of 6212 and 6216?

Answer: LCM of 6212 and 6216 is 9653448.

2. What are the Factors of 6212?

Answer: Factors of 6212 are 1, 2, 4, 1553, 3106, 6212. There are 6 integers that are factors of 6212. The greatest factor of 6212 is 6212.

3. What are the Factors of 6216?

Answer: Factors of 6216 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 56, 74, 84, 111, 148, 168, 222, 259, 296, 444, 518, 777, 888, 1036, 1554, 2072, 3108, 6216. There are 32 integers that are factors of 6216. The greatest factor of 6216 is 6216.

4. How to Find the LCM of 6212 and 6216?

Answer:

Least Common Multiple of 6212 and 6216 = 9653448

Step 1: Find the prime factorization of 6212

6212 = 2 x 2 x 1553

Step 2: Find the prime factorization of 6216

6216 = 2 x 2 x 2 x 3 x 7 x 37

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

LCM = 9653448 = 2 x 2 x 2 x 3 x 7 x 37 x 1553

Step 4: Therefore, the least common multiple of 6212 and 6216 is 9653448.