Least Common Multiple of 216 and 220

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 220 the smallest integer that is 11880 that is divisible by both numbers.

Least Common Multiple (LCM) of 216 and 220 is 11880.

LCM(216,220) = 11880

LCM of 216 and 220

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

LCM of:
and

Least Common Multiple of 216 and 220

LCM of 216 and 220 is 11880

Least common multiple can be found by multiplying the highest exponent prime factors of 216 and 220. First we will calculate the prime factors of 216 and 220.

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 220


2 220
2 110
5 55
11 11
1

Prime factors of 220 are 2, 5,11. Prime factorization of 220 in exponential form is:

220 = 22×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 216 and 220.

LCM(216,220) = 23×33×51×111
LCM(216,220) = 11880

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 220

List of positive integer factors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Least Common Multiple of 216 and 220 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 220, than apply into the LCM equation.

GCF(216,220) = 4
LCM(216,220) = ( 216 × 220) / 4
LCM(216,220) = 47520 / 4
LCM(216,220) = 11880

Properties of LCM 216 and 220

(i) The LCM of 220 and 216 is associative

LCM of 216 and 220 = LCM of 220 and 216

Related Least Common Multiples of 216

Related Least Common Multiples of 220

Frequently Asked Questions on LCM of 216 and 220

1. What is the LCM of 216 and 220?

Answer: LCM of 216 and 220 is 11880.

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 220?

Answer: Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. There are 12 integers that are factors of 220. The greatest factor of 220 is 220.

4. How to Find the LCM of 216 and 220?

Answer:

Least Common Multiple of 216 and 220 = 11880

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 220

220 = 2 x 2 x 5 x 11

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

LCM = 11880 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 216 and 220 is 11880.