Least Common Multiple of 12224 and 12230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12224 and 12230 the smallest integer that is 74749760 that is divisible by both numbers.

Least Common Multiple (LCM) of 12224 and 12230 is 74749760.

LCM(12224,12230) = 74749760

LCM of 12224 and 12230

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

LCM of:
and

Least Common Multiple of 12224 and 12230

LCM of 12224 and 12230 is 74749760

Least common multiple can be found by multiplying the highest exponent prime factors of 12224 and 12230. First we will calculate the prime factors of 12224 and 12230.

Prime Factorization of 12224


2 12224
2 6112
2 3056
2 1528
2 764
2 382
191 191
1

Prime factors of 12224 are 2,191. Prime factorization of 12224 in exponential form is:

12224 = 26×1911

Prime Factorization of 12230


2 12230
5 6115
1223 1223
1

Prime factors of 12230 are 2, 5,1223. Prime factorization of 12230 in exponential form is:

12230 = 21×51×12231

Now multiplying the highest exponent prime factors to calculate the LCM of 12224 and 12230.

LCM(12224,12230) = 26×51×1911×12231
LCM(12224,12230) = 74749760

Factors of 12224

List of positive integer factors of 12224 that divides 12224 without a remainder.

1, 2, 4, 8, 16, 32, 64, 191, 382, 764, 1528, 3056, 6112, 12224

Factors of 12230

List of positive integer factors of 12230 that divides 12230 without a remainder.

1, 2, 5, 10, 1223, 2446, 6115, 12230

Least Common Multiple of 12224 and 12230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12224 and 12230, than apply into the LCM equation.

GCF(12224,12230) = 2
LCM(12224,12230) = ( 12224 × 12230) / 2
LCM(12224,12230) = 149499520 / 2
LCM(12224,12230) = 74749760

Properties of LCM 12224 and 12230

(i) The LCM of 12230 and 12224 is associative

LCM of 12224 and 12230 = LCM of 12230 and 12224

Related Least Common Multiples of 12224

Related Least Common Multiples of 12230

Frequently Asked Questions on LCM of 12224 and 12230

1. What is the LCM of 12224 and 12230?

Answer: LCM of 12224 and 12230 is 74749760.

2. What are the Factors of 12224?

Answer: Factors of 12224 are 1, 2, 4, 8, 16, 32, 64, 191, 382, 764, 1528, 3056, 6112, 12224. There are 14 integers that are factors of 12224. The greatest factor of 12224 is 12224.

3. What are the Factors of 12230?

Answer: Factors of 12230 are 1, 2, 5, 10, 1223, 2446, 6115, 12230. There are 8 integers that are factors of 12230. The greatest factor of 12230 is 12230.

4. How to Find the LCM of 12224 and 12230?

Answer:

Least Common Multiple of 12224 and 12230 = 74749760

Step 1: Find the prime factorization of 12224

12224 = 2 x 2 x 2 x 2 x 2 x 2 x 191

Step 2: Find the prime factorization of 12230

12230 = 2 x 5 x 1223

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

LCM = 74749760 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 191 x 1223

Step 4: Therefore, the least common multiple of 12224 and 12230 is 74749760.