Least Common Multiple of 216 and 218

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 218 the smallest integer that is 23544 that is divisible by both numbers.

Least Common Multiple (LCM) of 216 and 218 is 23544.

LCM(216,218) = 23544

LCM of 216 and 218

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

LCM of:
and

Least Common Multiple of 216 and 218

LCM of 216 and 218 is 23544

Least common multiple can be found by multiplying the highest exponent prime factors of 216 and 218. First we will calculate the prime factors of 216 and 218.

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 218


2 218
109 109
1

Prime factors of 218 are 2,109. Prime factorization of 218 in exponential form is:

218 = 21×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 216 and 218.

LCM(216,218) = 23×33×1091
LCM(216,218) = 23544

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 218

List of positive integer factors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Least Common Multiple of 216 and 218 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 218, than apply into the LCM equation.

GCF(216,218) = 2
LCM(216,218) = ( 216 × 218) / 2
LCM(216,218) = 47088 / 2
LCM(216,218) = 23544

Properties of LCM 216 and 218

(i) The LCM of 218 and 216 is associative

LCM of 216 and 218 = LCM of 218 and 216

Related Least Common Multiples of 216

Related Least Common Multiples of 218

Frequently Asked Questions on LCM of 216 and 218

1. What is the LCM of 216 and 218?

Answer: LCM of 216 and 218 is 23544.

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 218?

Answer: Factors of 218 are 1, 2, 109, 218. There are 4 integers that are factors of 218. The greatest factor of 218 is 218.

4. How to Find the LCM of 216 and 218?

Answer:

Least Common Multiple of 216 and 218 = 23544

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 218

218 = 2 x 109

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

LCM = 23544 = 2 x 2 x 2 x 3 x 3 x 3 x 109

Step 4: Therefore, the least common multiple of 216 and 218 is 23544.