Least Common Multiple of 10224 and 10229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10224 and 10229 the smallest integer that is 104581296 that is divisible by both numbers.

Least Common Multiple (LCM) of 10224 and 10229 is 104581296.

LCM(10224,10229) = 104581296

LCM of 10224 and 10229

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

LCM of:
and

Least Common Multiple of 10224 and 10229

LCM of 10224 and 10229 is 104581296

Least common multiple can be found by multiplying the highest exponent prime factors of 10224 and 10229. First we will calculate the prime factors of 10224 and 10229.

Prime Factorization of 10224


2 10224
2 5112
2 2556
2 1278
3 639
3 213
71 71
1

Prime factors of 10224 are 2, 3,71. Prime factorization of 10224 in exponential form is:

10224 = 24×32×711

Prime Factorization of 10229


53 10229
193 193
1

Prime factors of 10229 are 53,193. Prime factorization of 10229 in exponential form is:

10229 = 531×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 10224 and 10229.

LCM(10224,10229) = 24×32×531×711×1931
LCM(10224,10229) = 104581296

Factors of 10224

List of positive integer factors of 10224 that divides 10224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224

Factors of 10229

List of positive integer factors of 10229 that divides 10229 without a remainder.

1, 53, 193, 10229

Least Common Multiple of 10224 and 10229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10224 and 10229, than apply into the LCM equation.

GCF(10224,10229) = 1
LCM(10224,10229) = ( 10224 × 10229) / 1
LCM(10224,10229) = 104581296 / 1
LCM(10224,10229) = 104581296

Properties of LCM 10224 and 10229

(i) The LCM of 10229 and 10224 is associative

LCM of 10224 and 10229 = LCM of 10229 and 10224

Related Least Common Multiples of 10224

Related Least Common Multiples of 10229

Frequently Asked Questions on LCM of 10224 and 10229

1. What is the LCM of 10224 and 10229?

Answer: LCM of 10224 and 10229 is 104581296.

2. What are the Factors of 10224?

Answer: Factors of 10224 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224. There are 30 integers that are factors of 10224. The greatest factor of 10224 is 10224.

3. What are the Factors of 10229?

Answer: Factors of 10229 are 1, 53, 193, 10229. There are 4 integers that are factors of 10229. The greatest factor of 10229 is 10229.

4. How to Find the LCM of 10224 and 10229?

Answer:

Least Common Multiple of 10224 and 10229 = 104581296

Step 1: Find the prime factorization of 10224

10224 = 2 x 2 x 2 x 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 10229

10229 = 53 x 193

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

LCM = 104581296 = 2 x 2 x 2 x 2 x 3 x 3 x 53 x 71 x 193

Step 4: Therefore, the least common multiple of 10224 and 10229 is 104581296.