Least Common Multiple of 224 and 229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 224 and 229 the smallest integer that is 51296 that is divisible by both numbers.

Least Common Multiple (LCM) of 224 and 229 is 51296.

LCM(224,229) = 51296

LCM of 224 and 229

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

LCM of:
and

Least Common Multiple of 224 and 229

LCM of 224 and 229 is 51296

Least common multiple can be found by multiplying the highest exponent prime factors of 224 and 229. First we will calculate the prime factors of 224 and 229.

Prime Factorization of 224


2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 224 are 2,7. Prime factorization of 224 in exponential form is:

224 = 25×71

Prime Factorization of 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 224 and 229.

LCM(224,229) = 25×71×2291
LCM(224,229) = 51296

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1, 229

Least Common Multiple of 224 and 229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 224 and 229, than apply into the LCM equation.

GCF(224,229) = 1
LCM(224,229) = ( 224 × 229) / 1
LCM(224,229) = 51296 / 1
LCM(224,229) = 51296

Properties of LCM 224 and 229

(i) The LCM of 229 and 224 is associative

LCM of 224 and 229 = LCM of 229 and 224

Related Least Common Multiples of 224

Related Least Common Multiples of 229

Frequently Asked Questions on LCM of 224 and 229

1. What is the LCM of 224 and 229?

Answer: LCM of 224 and 229 is 51296.

2. What are the Factors of 224?

Answer: Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. There are 12 integers that are factors of 224. The greatest factor of 224 is 224.

3. What are the Factors of 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

4. How to Find the LCM of 224 and 229?

Answer:

Least Common Multiple of 224 and 229 = 51296

Step 1: Find the prime factorization of 224

224 = 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 229

229 = 229

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

LCM = 51296 = 2 x 2 x 2 x 2 x 2 x 7 x 229

Step 4: Therefore, the least common multiple of 224 and 229 is 51296.