Least Common Multiple of 2224 and 2229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2224 and 2229 the smallest integer that is 4957296 that is divisible by both numbers.

Least Common Multiple (LCM) of 2224 and 2229 is 4957296.

LCM(2224,2229) = 4957296

LCM of 2224 and 2229

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

LCM of:
and

Least Common Multiple of 2224 and 2229

LCM of 2224 and 2229 is 4957296

Least common multiple can be found by multiplying the highest exponent prime factors of 2224 and 2229. First we will calculate the prime factors of 2224 and 2229.

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

Prime Factorization of 2229


3 2229
743 743
1

Prime factors of 2229 are 3,743. Prime factorization of 2229 in exponential form is:

2229 = 31×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 2224 and 2229.

LCM(2224,2229) = 24×31×1391×7431
LCM(2224,2229) = 4957296

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

Factors of 2229

List of positive integer factors of 2229 that divides 2229 without a remainder.

1, 3, 743, 2229

Least Common Multiple of 2224 and 2229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2224 and 2229, than apply into the LCM equation.

GCF(2224,2229) = 1
LCM(2224,2229) = ( 2224 × 2229) / 1
LCM(2224,2229) = 4957296 / 1
LCM(2224,2229) = 4957296

Properties of LCM 2224 and 2229

(i) The LCM of 2229 and 2224 is associative

LCM of 2224 and 2229 = LCM of 2229 and 2224

Related Least Common Multiples of 2224

Related Least Common Multiples of 2229

Frequently Asked Questions on LCM of 2224 and 2229

1. What is the LCM of 2224 and 2229?

Answer: LCM of 2224 and 2229 is 4957296.

2. 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.

3. What are the Factors of 2229?

Answer: Factors of 2229 are 1, 3, 743, 2229. There are 4 integers that are factors of 2229. The greatest factor of 2229 is 2229.

4. How to Find the LCM of 2224 and 2229?

Answer:

Least Common Multiple of 2224 and 2229 = 4957296

Step 1: Find the prime factorization of 2224

2224 = 2 x 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 2229

2229 = 3 x 743

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

LCM = 4957296 = 2 x 2 x 2 x 2 x 3 x 139 x 743

Step 4: Therefore, the least common multiple of 2224 and 2229 is 4957296.