Least Common Multiple of 212 and 216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 212 and 216 the smallest integer that is 11448 that is divisible by both numbers.

Least Common Multiple (LCM) of 212 and 216 is 11448.

LCM(212,216) = 11448

LCM of 212 and 216

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

LCM of:
and

Least Common Multiple of 212 and 216

LCM of 212 and 216 is 11448

Least common multiple can be found by multiplying the highest exponent prime factors of 212 and 216. First we will calculate the prime factors of 212 and 216.

Prime Factorization of 212


2 212
2 106
53 53
1

Prime factors of 212 are 2,53. Prime factorization of 212 in exponential form is:

212 = 22×531

Prime Factorization of 216


2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 216 are 2,3. Prime factorization of 216 in exponential form is:

216 = 23×33

Now multiplying the highest exponent prime factors to calculate the LCM of 212 and 216.

LCM(212,216) = 23×33×531
LCM(212,216) = 11448

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Least Common Multiple of 212 and 216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 212 and 216, than apply into the LCM equation.

GCF(212,216) = 4
LCM(212,216) = ( 212 × 216) / 4
LCM(212,216) = 45792 / 4
LCM(212,216) = 11448

Properties of LCM 212 and 216

(i) The LCM of 216 and 212 is associative

LCM of 212 and 216 = LCM of 216 and 212

Related Least Common Multiples of 212

Related Least Common Multiples of 216

Frequently Asked Questions on LCM of 212 and 216

1. What is the LCM of 212 and 216?

Answer: LCM of 212 and 216 is 11448.

2. What are the Factors of 212?

Answer: Factors of 212 are 1, 2, 4, 53, 106, 212. There are 6 integers that are factors of 212. The greatest factor of 212 is 212.

3. What are the Factors of 216?

Answer: Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216. There are 16 integers that are factors of 216. The greatest factor of 216 is 216.

4. How to Find the LCM of 212 and 216?

Answer:

Least Common Multiple of 212 and 216 = 11448

Step 1: Find the prime factorization of 212

212 = 2 x 2 x 53

Step 2: Find the prime factorization of 216

216 = 2 x 2 x 2 x 3 x 3 x 3

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

LCM = 11448 = 2 x 2 x 2 x 3 x 3 x 3 x 53

Step 4: Therefore, the least common multiple of 212 and 216 is 11448.