Least Common Multiple of 211 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 211 and 216 the smallest integer that is 45576 that is divisible by both numbers.

Least Common Multiple (LCM) of 211 and 216 is 45576.

LCM(211,216) = 45576

LCM of 211 and 216

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

LCM of:
and

Least Common Multiple of 211 and 216

LCM of 211 and 216 is 45576

Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 216. First we will calculate the prime factors of 211 and 216.

Prime Factorization of 211


211 211
1

Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:

211 = 2111

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 211 and 216.

LCM(211,216) = 23×33×2111
LCM(211,216) = 45576

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1, 211

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 211 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 211 and 216, than apply into the LCM equation.

GCF(211,216) = 1
LCM(211,216) = ( 211 × 216) / 1
LCM(211,216) = 45576 / 1
LCM(211,216) = 45576

Properties of LCM 211 and 216

(i) The LCM of 216 and 211 is associative

LCM of 211 and 216 = LCM of 216 and 211

Related Least Common Multiples of 211

Related Least Common Multiples of 216

Frequently Asked Questions on LCM of 211 and 216

1. What is the LCM of 211 and 216?

Answer: LCM of 211 and 216 is 45576.

2. What are the Factors of 211?

Answer: Factors of 211 are 1, 211. There are 2 integers that are factors of 211. The greatest factor of 211 is 211.

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 211 and 216?

Answer:

Least Common Multiple of 211 and 216 = 45576

Step 1: Find the prime factorization of 211

211 = 211

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 = 45576 = 2 x 2 x 2 x 3 x 3 x 3 x 211

Step 4: Therefore, the least common multiple of 211 and 216 is 45576.