Least Common Multiple of 2216 and 2221

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 2221 the smallest integer that is 4921736 that is divisible by both numbers.

Least Common Multiple (LCM) of 2216 and 2221 is 4921736.

LCM(2216,2221) = 4921736

LCM of 2216 and 2221

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

LCM of:
and

Least Common Multiple of 2216 and 2221

LCM of 2216 and 2221 is 4921736

Least common multiple can be found by multiplying the highest exponent prime factors of 2216 and 2221. First we will calculate the prime factors of 2216 and 2221.

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 2221


2221 2221
1

Prime factors of 2221 are 2221. Prime factorization of 2221 in exponential form is:

2221 = 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 2216 and 2221.

LCM(2216,2221) = 23×2771×22211
LCM(2216,2221) = 4921736

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 2221

List of positive integer factors of 2221 that divides 2221 without a remainder.

1, 2221

Least Common Multiple of 2216 and 2221 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 2221, than apply into the LCM equation.

GCF(2216,2221) = 1
LCM(2216,2221) = ( 2216 × 2221) / 1
LCM(2216,2221) = 4921736 / 1
LCM(2216,2221) = 4921736

Properties of LCM 2216 and 2221

(i) The LCM of 2221 and 2216 is associative

LCM of 2216 and 2221 = LCM of 2221 and 2216

Related Least Common Multiples of 2216

Related Least Common Multiples of 2221

Frequently Asked Questions on LCM of 2216 and 2221

1. What is the LCM of 2216 and 2221?

Answer: LCM of 2216 and 2221 is 4921736.

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 2221?

Answer: Factors of 2221 are 1, 2221. There are 2 integers that are factors of 2221. The greatest factor of 2221 is 2221.

4. How to Find the LCM of 2216 and 2221?

Answer:

Least Common Multiple of 2216 and 2221 = 4921736

Step 1: Find the prime factorization of 2216

2216 = 2 x 2 x 2 x 277

Step 2: Find the prime factorization of 2221

2221 = 2221

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

LCM = 4921736 = 2 x 2 x 2 x 277 x 2221

Step 4: Therefore, the least common multiple of 2216 and 2221 is 4921736.