Least Common Multiple of 216 and 221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 216 and 221 the smallest integer that is 47736 that is divisible by both numbers.

Least Common Multiple (LCM) of 216 and 221 is 47736.

LCM(216,221) = 47736

LCM of 216 and 221

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

LCM of:
and

Least Common Multiple of 216 and 221

LCM of 216 and 221 is 47736

Least common multiple can be found by multiplying the highest exponent prime factors of 216 and 221. First we will calculate the prime factors of 216 and 221.

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

Prime Factorization of 221


13 221
17 17
1

Prime factors of 221 are 13,17. Prime factorization of 221 in exponential form is:

221 = 131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 216 and 221.

LCM(216,221) = 23×33×131×171
LCM(216,221) = 47736

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

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Least Common Multiple of 216 and 221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 216 and 221, than apply into the LCM equation.

GCF(216,221) = 1
LCM(216,221) = ( 216 × 221) / 1
LCM(216,221) = 47736 / 1
LCM(216,221) = 47736

Properties of LCM 216 and 221

(i) The LCM of 221 and 216 is associative

LCM of 216 and 221 = LCM of 221 and 216

Related Least Common Multiples of 216

Related Least Common Multiples of 221

Frequently Asked Questions on LCM of 216 and 221

1. What is the LCM of 216 and 221?

Answer: LCM of 216 and 221 is 47736.

2. 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.

3. What are the Factors of 221?

Answer: Factors of 221 are 1, 13, 17, 221. There are 4 integers that are factors of 221. The greatest factor of 221 is 221.

4. How to Find the LCM of 216 and 221?

Answer:

Least Common Multiple of 216 and 221 = 47736

Step 1: Find the prime factorization of 216

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

Step 2: Find the prime factorization of 221

221 = 13 x 17

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

LCM = 47736 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 17

Step 4: Therefore, the least common multiple of 216 and 221 is 47736.