Least Common Multiple of 2216 and 2220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2216 and 2220 the smallest integer that is 1229880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2216 and 2220 is 1229880.

LCM(2216,2220) = 1229880

LCM of 2216 and 2220

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

LCM of:
and

Least Common Multiple of 2216 and 2220

LCM of 2216 and 2220 is 1229880

Least common multiple can be found by multiplying the highest exponent prime factors of 2216 and 2220. First we will calculate the prime factors of 2216 and 2220.

Prime Factorization of 2216


2 2216
2 1108
2 554
277 277
1

Prime factors of 2216 are 2,277. Prime factorization of 2216 in exponential form is:

2216 = 23×2771

Prime Factorization of 2220


2 2220
2 1110
3 555
5 185
37 37
1

Prime factors of 2220 are 2, 3, 5,37. Prime factorization of 2220 in exponential form is:

2220 = 22×31×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2216 and 2220.

LCM(2216,2220) = 23×31×51×371×2771
LCM(2216,2220) = 1229880

Factors of 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1, 2, 4, 8, 277, 554, 1108, 2216

Factors of 2220

List of positive integer factors of 2220 that divides 2220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220

Least Common Multiple of 2216 and 2220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2216 and 2220, than apply into the LCM equation.

GCF(2216,2220) = 4
LCM(2216,2220) = ( 2216 × 2220) / 4
LCM(2216,2220) = 4919520 / 4
LCM(2216,2220) = 1229880

Properties of LCM 2216 and 2220

(i) The LCM of 2220 and 2216 is associative

LCM of 2216 and 2220 = LCM of 2220 and 2216

Related Least Common Multiples of 2216

Related Least Common Multiples of 2220

Frequently Asked Questions on LCM of 2216 and 2220

1. What is the LCM of 2216 and 2220?

Answer: LCM of 2216 and 2220 is 1229880.

2. What are the Factors of 2216?

Answer: Factors of 2216 are 1, 2, 4, 8, 277, 554, 1108, 2216. There are 8 integers that are factors of 2216. The greatest factor of 2216 is 2216.

3. What are the Factors of 2220?

Answer: Factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220. There are 24 integers that are factors of 2220. The greatest factor of 2220 is 2220.

4. How to Find the LCM of 2216 and 2220?

Answer:

Least Common Multiple of 2216 and 2220 = 1229880

Step 1: Find the prime factorization of 2216

2216 = 2 x 2 x 2 x 277

Step 2: Find the prime factorization of 2220

2220 = 2 x 2 x 3 x 5 x 37

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

LCM = 1229880 = 2 x 2 x 2 x 3 x 5 x 37 x 277

Step 4: Therefore, the least common multiple of 2216 and 2220 is 1229880.