Least Common Multiple of 1224 and 1228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1224 and 1228 the smallest integer that is 375768 that is divisible by both numbers.

Least Common Multiple (LCM) of 1224 and 1228 is 375768.

LCM(1224,1228) = 375768

LCM of 1224 and 1228

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

LCM of:
and

Least Common Multiple of 1224 and 1228

LCM of 1224 and 1228 is 375768

Least common multiple can be found by multiplying the highest exponent prime factors of 1224 and 1228. First we will calculate the prime factors of 1224 and 1228.

Prime Factorization of 1224


2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 1224 are 2, 3,17. Prime factorization of 1224 in exponential form is:

1224 = 23×32×171

Prime Factorization of 1228


2 1228
2 614
307 307
1

Prime factors of 1228 are 2,307. Prime factorization of 1228 in exponential form is:

1228 = 22×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 1224 and 1228.

LCM(1224,1228) = 23×32×171×3071
LCM(1224,1228) = 375768

Factors of 1224

List of positive integer factors of 1224 that divides 1224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1, 2, 4, 307, 614, 1228

Least Common Multiple of 1224 and 1228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1224 and 1228, than apply into the LCM equation.

GCF(1224,1228) = 4
LCM(1224,1228) = ( 1224 × 1228) / 4
LCM(1224,1228) = 1503072 / 4
LCM(1224,1228) = 375768

Properties of LCM 1224 and 1228

(i) The LCM of 1228 and 1224 is associative

LCM of 1224 and 1228 = LCM of 1228 and 1224

Related Least Common Multiples of 1224

Related Least Common Multiples of 1228

Frequently Asked Questions on LCM of 1224 and 1228

1. What is the LCM of 1224 and 1228?

Answer: LCM of 1224 and 1228 is 375768.

2. What are the Factors of 1224?

Answer: Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. There are 24 integers that are factors of 1224. The greatest factor of 1224 is 1224.

3. What are the Factors of 1228?

Answer: Factors of 1228 are 1, 2, 4, 307, 614, 1228. There are 6 integers that are factors of 1228. The greatest factor of 1228 is 1228.

4. How to Find the LCM of 1224 and 1228?

Answer:

Least Common Multiple of 1224 and 1228 = 375768

Step 1: Find the prime factorization of 1224

1224 = 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 1228

1228 = 2 x 2 x 307

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

LCM = 375768 = 2 x 2 x 2 x 3 x 3 x 17 x 307

Step 4: Therefore, the least common multiple of 1224 and 1228 is 375768.