Least Common Multiple of 215 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 215 and 216 the smallest integer that is 46440 that is divisible by both numbers.

Least Common Multiple (LCM) of 215 and 216 is 46440.

LCM(215,216) = 46440

LCM of 215 and 216

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

LCM of:
and

Least Common Multiple of 215 and 216

LCM of 215 and 216 is 46440

Least common multiple can be found by multiplying the highest exponent prime factors of 215 and 216. First we will calculate the prime factors of 215 and 216.

Prime Factorization of 215


5 215
43 43
1

Prime factors of 215 are 5,43. Prime factorization of 215 in exponential form is:

215 = 51×431

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 215 and 216.

LCM(215,216) = 23×33×51×431
LCM(215,216) = 46440

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 215 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 215 and 216, than apply into the LCM equation.

GCF(215,216) = 1
LCM(215,216) = ( 215 × 216) / 1
LCM(215,216) = 46440 / 1
LCM(215,216) = 46440

Properties of LCM 215 and 216

(i) The LCM of 216 and 215 is associative

LCM of 215 and 216 = LCM of 216 and 215

Related Least Common Multiples of 215

Related Least Common Multiples of 216

Frequently Asked Questions on LCM of 215 and 216

1. What is the LCM of 215 and 216?

Answer: LCM of 215 and 216 is 46440.

2. What are the Factors of 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

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 215 and 216?

Answer:

Least Common Multiple of 215 and 216 = 46440

Step 1: Find the prime factorization of 215

215 = 5 x 43

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 = 46440 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 43

Step 4: Therefore, the least common multiple of 215 and 216 is 46440.