Least Common Multiple of 2216 and 2224

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 2224 the smallest integer that is 616048 that is divisible by both numbers.

Least Common Multiple (LCM) of 2216 and 2224 is 616048.

LCM(2216,2224) = 616048

LCM of 2216 and 2224

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

LCM of:
and

Least Common Multiple of 2216 and 2224

LCM of 2216 and 2224 is 616048

Least common multiple can be found by multiplying the highest exponent prime factors of 2216 and 2224. First we will calculate the prime factors of 2216 and 2224.

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 2224


2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 2224 are 2,139. Prime factorization of 2224 in exponential form is:

2224 = 24×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2216 and 2224.

LCM(2216,2224) = 24×1391×2771
LCM(2216,2224) = 616048

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 2224

List of positive integer factors of 2224 that divides 2224 without a remainder.

1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224

Least Common Multiple of 2216 and 2224 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 2224, than apply into the LCM equation.

GCF(2216,2224) = 8
LCM(2216,2224) = ( 2216 × 2224) / 8
LCM(2216,2224) = 4928384 / 8
LCM(2216,2224) = 616048

Properties of LCM 2216 and 2224

(i) The LCM of 2224 and 2216 is associative

LCM of 2216 and 2224 = LCM of 2224 and 2216

Related Least Common Multiples of 2216

Related Least Common Multiples of 2224

Frequently Asked Questions on LCM of 2216 and 2224

1. What is the LCM of 2216 and 2224?

Answer: LCM of 2216 and 2224 is 616048.

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 2224?

Answer: Factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224. There are 10 integers that are factors of 2224. The greatest factor of 2224 is 2224.

4. How to Find the LCM of 2216 and 2224?

Answer:

Least Common Multiple of 2216 and 2224 = 616048

Step 1: Find the prime factorization of 2216

2216 = 2 x 2 x 2 x 277

Step 2: Find the prime factorization of 2224

2224 = 2 x 2 x 2 x 2 x 139

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

LCM = 616048 = 2 x 2 x 2 x 2 x 139 x 277

Step 4: Therefore, the least common multiple of 2216 and 2224 is 616048.