Least Common Multiple of 2217 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 2217 and 2224 the smallest integer that is 4930608 that is divisible by both numbers.

Least Common Multiple (LCM) of 2217 and 2224 is 4930608.

LCM(2217,2224) = 4930608

LCM of 2217 and 2224

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

LCM of:
and

Least Common Multiple of 2217 and 2224

LCM of 2217 and 2224 is 4930608

Least common multiple can be found by multiplying the highest exponent prime factors of 2217 and 2224. First we will calculate the prime factors of 2217 and 2224.

Prime Factorization of 2217


3 2217
739 739
1

Prime factors of 2217 are 3,739. Prime factorization of 2217 in exponential form is:

2217 = 31×7391

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 2217 and 2224.

LCM(2217,2224) = 24×31×1391×7391
LCM(2217,2224) = 4930608

Factors of 2217

List of positive integer factors of 2217 that divides 2217 without a remainder.

1, 3, 739, 2217

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 2217 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 2217 and 2224, than apply into the LCM equation.

GCF(2217,2224) = 1
LCM(2217,2224) = ( 2217 × 2224) / 1
LCM(2217,2224) = 4930608 / 1
LCM(2217,2224) = 4930608

Properties of LCM 2217 and 2224

(i) The LCM of 2224 and 2217 is associative

LCM of 2217 and 2224 = LCM of 2224 and 2217

Related Least Common Multiples of 2217

Related Least Common Multiples of 2224

Frequently Asked Questions on LCM of 2217 and 2224

1. What is the LCM of 2217 and 2224?

Answer: LCM of 2217 and 2224 is 4930608.

2. What are the Factors of 2217?

Answer: Factors of 2217 are 1, 3, 739, 2217. There are 4 integers that are factors of 2217. The greatest factor of 2217 is 2217.

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 2217 and 2224?

Answer:

Least Common Multiple of 2217 and 2224 = 4930608

Step 1: Find the prime factorization of 2217

2217 = 3 x 739

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 = 4930608 = 2 x 2 x 2 x 2 x 3 x 139 x 739

Step 4: Therefore, the least common multiple of 2217 and 2224 is 4930608.